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141021200 = 24522912157
BaseRepresentation
bin10000110011111…
…01000000010000
3100211100121201102
420121331000100
5242100134300
621554323532
73331442345
oct1031750020
9324317642
10141021200
117266a351
123b2895a8
13232a70c8
1414a2c7cc
15c5a90d5
hex867d010

141021200 has 60 divisors (see below), whose sum is σ = 350515140. Its totient is φ = 54458880.

The previous prime is 141021187. The next prime is 141021259. The reversal of 141021200 is 2120141.

It can be written as a sum of positive squares in 6 ways, for example, as 22733824 + 118287376 = 4768^2 + 10876^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5522 + ... + 17678.

It is an arithmetic number, because the mean of its divisors is an integer number (5841919).

Almost surely, 2141021200 is an apocalyptic number.

141021200 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 141021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175257570).

141021200 is an abundant number, since it is smaller than the sum of its proper divisors (209493940).

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

141021200 is a wasteful number, since it uses less digits than its factorization.

141021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12204 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 141021200 is about 11875.2347345221. The cubic root of 141021200 is about 520.5088706943.

Adding to 141021200 its reverse (2120141), we get a palindrome (143141341).

The spelling of 141021200 in words is "one hundred forty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 12157 24314 48628 60785 97256 121570 194512 243140 303925 352553 486280 607850 705106 972560 1215700 1410212 1762765 2431400 2820424 3525530 4862800 5640848 7051060 8813825 14102120 17627650 28204240 35255300 70510600 141021200