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311220010120 = 23528134979337
BaseRepresentation
bin1001000011101100010…
…10000111110010001000
31002202022110100121010111
410201312022013302020
520044334310310440
6354550020524104
731325215303165
oct4416612076210
91082273317114
10311220010120
1110aa95644a38
1250396b50634
132346a4c8456
14110c532306c
15816770b4ea
hex4876287c88

311220010120 has 64 divisors (see below), whose sum is σ = 704759454000. Its totient is φ = 123687997440.

The previous prime is 311220010117. The next prime is 311220010133. The reversal of 311220010120 is 21010022113.

It can be written as a sum of positive squares in 8 ways, for example, as 128311538436 + 182908471684 = 358206^2 + 427678^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 311220010120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3883092 + ... + 3962428.

Almost surely, 2311220010120 is an apocalyptic number.

It is an amenable number.

311220010120 is an abundant number, since it is smaller than the sum of its proper divisors (393539443880).

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

311220010120 is a wasteful number, since it uses less digits than its factorization.

311220010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79978 (or 79974 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 311220010120 its reverse (21010022113), we get a palindrome (332230032233).

The spelling of 311220010120 in words is "three hundred eleven billion, two hundred twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 281 349 562 698 1124 1396 1405 1745 2248 2792 2810 3490 5620 6980 11240 13960 79337 98069 158674 196138 317348 392276 396685 490345 634696 784552 793370 980690 1586740 1961380 3173480 3922760 22293697 27688613 44587394 55377226 89174788 110754452 111468485 138443065 178349576 221508904 222936970 276886130 445873940 553772260 891747880 1107544520 7780500253 15561000506 31122001012 38902501265 62244002024 77805002530 155610005060 311220010120