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102113340 = 22357376571
BaseRepresentation
bin1100001011000…
…10000000111100
321010010220011120
412011202000330
5202120111330
614044350540
72346643350
oct605420074
9233126146
10102113340
115270529a
122a245450
13182036c4
14d7c1460
158e70c10
hex616203c

102113340 has 96 divisors (see below), whose sum is σ = 335645184. Its totient is φ = 22705920.

The previous prime is 102113317. The next prime is 102113357. The reversal of 102113340 is 43311201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12255 + ... + 18825.

It is an arithmetic number, because the mean of its divisors is an integer number (3496304).

Almost surely, 2102113340 is an apocalyptic number.

102113340 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 102113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167822592).

102113340 is an abundant number, since it is smaller than the sum of its proper divisors (233531844).

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

102113340 is a wasteful number, since it uses less digits than its factorization.

102113340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102113340 is about 10105.1145466046. The cubic root of 102113340 is about 467.4058681668.

Adding to 102113340 its reverse (43311201), we get a palindrome (145424541).

The spelling of 102113340 in words is "one hundred two million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 6571 7770 13142 15540 19713 26284 32855 39426 45997 65710 78852 91994 98565 131420 137991 183988 197130 229985 243127 275982 394260 459970 486254 551964 689955 729381 919940 972508 1215635 1379910 1458762 1701889 2431270 2759820 2917524 3403778 3646905 4862540 5105667 6807556 7293810 8509445 10211334 14587620 17018890 20422668 25528335 34037780 51056670 102113340