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403251004100130 = 235374331127165871
BaseRepresentation
bin101101110110000010011000…
…0110110101100111000100010
31221212210102022211000211010220
41123230010300312230320202
5410323331024022201010
63545350542011303510
7150636631541555004
oct13354046066547042
91855712284024126
10403251004100130
1110754087709a93a
12392888b544ab96
1314401539181014
14718164a44a374
15319473d8cc970
hex16ec130dace22

403251004100130 has 128 divisors (see below), whose sum is σ = 1020344936472576. Its totient is φ = 101865492691200.

The previous prime is 403251004100101. The next prime is 403251004100141. The reversal of 403251004100130 is 31001400152304.

It is a happy number.

It is a super-2 number, since 2×4032510041001302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 403251004100130.

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, 1261095 + ... + 28426965.

It is an arithmetic number, because the mean of its divisors is an integer number (7971444816192).

Almost surely, 2403251004100130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403251004100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510172468236288).

403251004100130 is an abundant number, since it is smaller than the sum of its proper divisors (617093932372446).

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

403251004100130 is a wasteful number, since it uses less digits than its factorization.

403251004100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27166272.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 403251004100130 its reverse (31001400152304), we get a palindrome (434252404252434).

The spelling of 403251004100130 in words is "four hundred three trillion, two hundred fifty-one billion, four million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 43 74 86 111 129 185 215 222 258 311 370 430 555 622 645 933 1110 1290 1555 1591 1866 3110 3182 4665 4773 7955 9330 9546 11507 13373 15910 23014 23865 26746 34521 40119 47730 57535 66865 69042 80238 115070 133730 172605 200595 345210 401190 494801 989602 1484403 2474005 2968806 4948010 7422015 14844030 27165871 54331742 81497613 135829355 162995226 271658710 407488065 814976130 1005137227 1168132453 2010274454 2336264906 3015411681 3504397359 5025686135 5840662265 6030823362 7008794718 8448585881 10051372270 11681324530 15077058405 16897171762 17521986795 25345757643 30154116810 35043973590 42242929405 43220900761 50691515286 84485858810 86441801522 126728788215 129662702283 216104503805 253457576430 259325404566 312597677597 363289192883 432209007610 625195355194 648313511415 726578385766 937793032791 1089867578649 1296627022830 1562988387985 1816445964415 1875586065582 2179735157298 3125976775970 3632891928830 4688965163955 5449337893245 9377930327910 10898675786490 13441700136671 26883400273342 40325100410013 67208500683355 80650200820026 134417001366710 201625502050065 403251004100130