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103161300 = 223521143727
BaseRepresentation
bin1100010011000…
…01110111010100
321012010010200220
412021201313110
5202402130200
614123034340
72361566544
oct611416724
9235103626
10103161300
1153260680
122a66b9b0
13184ac6b8
14d9b5324
1590cb4a0
hex6261dd4

103161300 has 144 divisors (see below), whose sum is σ = 333645312. Its totient is φ = 24393600.

The previous prime is 103161293. The next prime is 103161301. The reversal of 103161300 is 3161301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103161300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103161301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141537 + ... + 142263.

Almost surely, 2103161300 is an apocalyptic number.

103161300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103161300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166822656).

103161300 is an abundant number, since it is smaller than the sum of its proper divisors (230484012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103161300 is a wasteful number, since it uses less digits than its factorization.

103161300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103161300 is about 10156.8351369903. The cubic root of 103161300 is about 468.9993801923. Note that the first 3 decimals are identical.

Subtracting from 103161300 its reverse (3161301), we obtain a palindrome (99999999).

The spelling of 103161300 in words is "one hundred three million, one hundred sixty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 727 825 860 946 1075 1100 1290 1419 1454 1650 1892 2150 2181 2365 2580 2838 2908 3225 3300 3635 4300 4362 4730 5676 6450 7095 7270 7997 8724 9460 10905 11825 12900 14190 14540 15994 18175 21810 23650 23991 28380 31261 31988 35475 36350 39985 43620 47300 47982 54525 62522 70950 72700 79970 93783 95964 109050 119955 125044 141900 156305 159940 187566 199925 218100 239910 312610 343871 375132 399850 468915 479820 599775 625220 687742 781525 799700 937830 1031613 1199550 1375484 1563050 1719355 1875660 2063226 2344575 2399100 3126100 3438710 4126452 4689150 5158065 6877420 8596775 9378300 10316130 17193550 20632260 25790325 34387100 51580650 103161300