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103201203200022 = 233171091031372581
BaseRepresentation
bin10111011101110001100111…
…000011101010000000010110
3111112101221100021220101101000
4113131301213003222000112
5102011322031004400042
61003253551145044130
730511020010320204
oct2735614703520026
9445357307811330
10103201203200022
112a979425836034
12b6a9102186646
134577aa7339b95
141b6ad71910074
15bde777e0674c
hex5ddc670ea016

103201203200022 has 64 divisors (see below), whose sum is σ = 245054125483200. Its totient is φ = 32079812728320.

The previous prime is 103201203200021. The next prime is 103201203200057. The reversal of 103201203200022 is 220002302102301.

103201203200022 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 2 + 0 + 320 + 0 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103201203199968 and 103201203200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103201203200021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 515586229 + ... + 515786352.

It is an arithmetic number, because the mean of its divisors is an integer number (3828970710675).

Almost surely, 2103201203200022 is an apocalyptic number.

103201203200022 is an abundant number, since it is smaller than the sum of its proper divisors (141852922283178).

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

103201203200022 is a wasteful number, since it uses less digits than its factorization.

103201203200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031372718 (or 1031372712 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103201203200022 its reverse (220002302102301), we get a palindrome (323203505302323).

The spelling of 103201203200022 in words is "one hundred three trillion, two hundred one billion, two hundred three million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 109 153 218 306 327 459 654 918 981 1853 1962 2943 3706 5559 5886 11118 16677 33354 50031 100062 1031372581 2062745162 3094117743 6188235486 9282353229 17533333877 18564706458 27847059687 35066667754 52600001631 55694119374 105200003262 112419611329 157800004893 224839222658 315600009786 337258833987 473400014679 674517667974 946800029358 1011776501961 1911133392593 2023553003922 3035329505883 3822266785186 5733400177779 6070659011766 11466800355558 17200200533337 34400401066674 51600601600011 103201203200022