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131021220432410 = 257113891373318589
BaseRepresentation
bin11101110010100111000001…
…010011010100101000011010
3122011220111200010102101000222
4131302213001103110220122
5114133122424412314120
61142354152344000042
736411653661152420
oct3562470123245032
9564814603371028
10131021220432410
1138824873244070
1212840959760022
13581532c024cb9
14244d664a19110
151023268ca0525
hex7729c14d4a1a

131021220432410 has 128 divisors (see below), whose sum is σ = 295003533427200. Its totient is φ = 40703006776320.

The previous prime is 131021220432329. The next prime is 131021220432457. The reversal of 131021220432410 is 14234022120131.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131021220432410.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411095396 + ... + 411413984.

It is an arithmetic number, because the mean of its divisors is an integer number (2304715104900).

Almost surely, 2131021220432410 is an apocalyptic number.

131021220432410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131021220432410 is an abundant number, since it is smaller than the sum of its proper divisors (163982312994790).

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

131021220432410 is a wasteful number, since it uses less digits than its factorization.

131021220432410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320376.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131021220432410 its reverse (14234022120131), we get a palindrome (145255242552541).

The spelling of 131021220432410 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred twenty million, four hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 389 770 778 1373 1945 2723 2746 3890 4279 5446 6865 8558 9611 13615 13730 15103 19222 21395 27230 29953 30206 42790 48055 59906 75515 96110 105721 149765 151030 211442 299530 318589 528605 534097 637178 1057210 1068194 1592945 2230123 2670485 3185890 3504479 3738679 4460246 5340970 5875067 7008958 7477358 11150615 11750134 17522395 18693395 22301230 24531353 29375335 35044790 37386790 41125469 49062706 58750670 82250938 122656765 123931121 205627345 245313530 247862242 411254690 437422697 619655605 867517847 874845394 1239311210 1363242331 1735035694 2187113485 2726484662 3061958879 4337589235 4374226970 4811649667 6123917758 6816211655 8675178470 9542696317 9623299334 13632423310 15309794395 19085392634 24058248335 30619588790 33681547669 47713481585 48116496670 67363095338 95426963170 168407738345 170157429133 336815476690 340314858266 850787145665 1191102003931 1701574291330 1871731720463 2382204007862 3743463440926 5955510019655 9358658602315 11911020039310 13102122043241 18717317204630 26204244086482 65510610216205 131021220432410