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201232200120 = 23357239562143
BaseRepresentation
bin1011101101101001011…
…1111011000110111000
3201020102012212221021220
42323122113323012320
511244110420400440
6232240024232040
720352502323120
oct2733227730670
9636365787256
10201232200120
1178384370406
123300030b620
1315c8c6a8b83
149a4d9d3c80
15537b7208d0
hex2eda5fb1b8

201232200120 has 64 divisors (see below), whose sum is σ = 689938974720. Its totient is φ = 45995931264.

The previous prime is 201232200119. The next prime is 201232200167. The reversal of 201232200120 is 21002232102.

It is a happy number.

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 201232200120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119780232 + ... + 119781911.

It is an arithmetic number, because the mean of its divisors is an integer number (10780296480).

Almost surely, 2201232200120 is an apocalyptic number.

201232200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201232200120 is an abundant number, since it is smaller than the sum of its proper divisors (488706774600).

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

201232200120 is a wasteful number, since it uses less digits than its factorization.

201232200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239562164 (or 239562160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201232200120 its reverse (21002232102), we get a palindrome (222234432222).

The spelling of 201232200120 in words is "two hundred one billion, two hundred thirty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 239562143 479124286 718686429 958248572 1197810715 1437372858 1676935001 1916497144 2395621430 2874745716 3353870002 3593432145 4791242860 5030805003 5749491432 6707740004 7186864290 8384675005 9582485720 10061610006 13415480008 14373728580 16769350010 20123220012 25154025015 28747457160 33538700020 40246440024 50308050030 67077400040 100616100060 201232200120