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203320120322202 = 2313432111493192431
BaseRepresentation
bin101110001110101100100111…
…100011000010100010011010
3222122220012202202202122001020
4232032230213203002202122
5203122144101300302302
62000231550202303310
760553252056363612
oct5616544743024232
9878805682678036
10203320120322202
1159869640417184
121a978974ab7b36
13895b00b202a80
14382ca63d05a42
151878c52578ebc
hexb8eb278c289a

203320120322202 has 128 divisors (see below), whose sum is σ = 450532069650432. Its totient is φ = 60774504940800.

The previous prime is 203320120322183. The next prime is 203320120322227. The reversal of 203320120322202 is 202223021023302.

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 63 ways as a sum of consecutive naturals, for example, 1056490927 + ... + 1056683357.

It is an arithmetic number, because the mean of its divisors is an integer number (3519781794144).

Almost surely, 2203320120322202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203320120322202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225266034825216).

203320120322202 is an abundant number, since it is smaller than the sum of its proper divisors (247211949328230).

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

203320120322202 is a wasteful number, since it uses less digits than its factorization.

203320120322202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194196.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 203320120322202 its reverse (202223021023302), we get a palindrome (405543141345504).

The spelling of 203320120322202 in words is "two hundred three trillion, three hundred twenty billion, one hundred twenty million, three hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 211 258 422 559 633 1118 1266 1493 1677 2743 2986 3354 4479 5486 8229 8958 9073 16458 18146 19409 27219 38818 54438 58227 64199 116454 117949 128398 192431 192597 235898 315023 353847 384862 385194 577293 630046 707694 834587 945069 1154586 1669174 1890138 2501603 2503761 4095299 5003206 5007522 7504809 8190598 8274533 12285897 13545989 15009618 16549066 24571794 24823599 27091978 40602941 40637967 49647198 81205882 81275934 107568929 121808823 176097857 215137858 243617646 287299483 322706787 352195714 527838233 528293571 574598966 645413574 861898449 1055676466 1056587142 1583514699 1723796898 1745926463 3167029398 3491852926 3734893279 5237779389 7469786558 10475558778 11204679837 12353877769 22409359674 22697044019 24707755538 37061633307 45394088038 60620190913 68091132057 74123266614 121240381826 136182264114 160600410997 181860572739 321200821994 363721145478 481801232991 788062481869 963602465982 1576124963738 2364187445607 2606668209259 4728374891214 5213336418518 7820004627777 15640009255554 33886686720367 67773373440734 101660060161101 203320120322202