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131002442103210 = 235371013319352069
BaseRepresentation
bin11101110010010101100010…
…000001101011100110101010
3122011211201012102200102001220
4131302111202001223212222
5114132321000134300320
61142341405135122510
736410420432042106
oct3562254201534652
9564751172612056
10131002442103210
1138817907382437
1212839198973436
13581362878b5c2
14244c7a2aa4906
151022a1a400e40
hex77256206b9aa

131002442103210 has 128 divisors (see below), whose sum is σ = 326199558412800. Its totient is φ = 33643054771200.

The previous prime is 131002442103163. The next prime is 131002442103251. The reversal of 131002442103210 is 12301244200131.

131002442103210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 371917056 + ... + 372269124.

It is an arithmetic number, because the mean of its divisors is an integer number (2548434050100).

Almost surely, 2131002442103210 is an apocalyptic number.

131002442103210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131002442103210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163099779206400).

131002442103210 is an abundant number, since it is smaller than the sum of its proper divisors (195197116309590).

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

131002442103210 is a wasteful number, since it uses less digits than its factorization.

131002442103210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355536.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131002442103210 its reverse (12301244200131), we get a palindrome (143303686303341).

The spelling of 131002442103210 in words is "one hundred thirty-one trillion, two billion, four hundred forty-two million, one hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 101 111 185 202 222 303 370 505 555 606 1010 1110 1515 3030 3319 3737 6638 7474 9957 11211 16595 18685 19914 22422 33190 37370 49785 56055 99570 112110 122803 245606 335219 352069 368409 614015 670438 704138 736818 1005657 1056207 1228030 1676095 1760345 1842045 2011314 2112414 3352190 3520690 3684090 5028285 5281035 10056570 10562070 12403103 13026553 24806206 26053106 35558969 37209309 39079659 62015515 65132765 71117938 74418618 78159318 106676907 124031030 130265530 177794845 186046545 195398295 213353814 355589690 372093090 390796590 533384535 1066769070 1168517011 1315681853 2337034022 2631363706 3505551033 3947045559 5842585055 6578409265 7011102066 7894091118 11685170110 13156818530 17527755165 19735227795 35055510330 39470455590 43235129407 86470258814 118020218111 129705388221 216175647035 236040436222 259410776442 354060654333 432351294070 590101090555 648526941105 708121308666 1180202181110 1297053882210 1770303271665 3540606543330 4366748070107 8733496140214 13100244210321 21833740350535 26200488420642 43667480701070 65501221051605 131002442103210