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310101201312 = 25371727144713
BaseRepresentation
bin1001000001100110111…
…10001101000110100000
31002122102111010012222020
410200303132031012200
520040041401420222
6354243012541440
731255411502010
oct4406336150640
91078374105866
10310101201312
1110a571053361
1250124321880
132331c7905c6
141101a8c9c40
1580ee3ac65c
hex483378d1a0

310101201312 has 96 divisors (see below), whose sum is σ = 985027381632. Its totient is φ = 83388555264.

The previous prime is 310101201269. The next prime is 310101201337. The reversal of 310101201312 is 213102101013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 310101201291 and 310101201300.

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, 13560933 + ... + 13583780.

It is an arithmetic number, because the mean of its divisors is an integer number (10260701892).

Almost surely, 2310101201312 is an apocalyptic number.

310101201312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

310101201312 is an abundant number, since it is smaller than the sum of its proper divisors (674926180320).

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

310101201312 is a wasteful number, since it uses less digits than its factorization.

310101201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27144750 (or 27144742 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 310101201312 its reverse (213102101013), we get a palindrome (523203302325).

The spelling of 310101201312 in words is "three hundred ten billion, one hundred one million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 27144713 54289426 81434139 108578852 162868278 190012991 217157704 325736556 380025982 434315408 461460121 570038973 651473112 760051964 868630816 922920242 1140077946 1302946224 1384380363 1520103928 1845840484 2280155892 2605892448 2768760726 3040207856 3230220847 3691680968 4560311784 5537521452 6080415712 6460441694 7383361936 9120623568 9690662541 11075042904 12920883388 14766723872 18241247136 19381325082 22150085808 25841766776 38762650164 44300171616 51683533552 77525300328 103367067104 155050600656 310101201312