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312002313100 = 225226911639973
BaseRepresentation
bin1001000101001001100…
…10010111101110001100
31002211022222101201001221
410202210302113232030
520102440043004400
6355155404213124
731353464621662
oct4424462275614
91084288351057
10312002313100
11110357198825
1250574b3a1a4
13235635c321a
141115b1a2c32
1581b1239c1a
hex48a4c97b8c

312002313100 has 72 divisors (see below), whose sum is σ = 680214432240. Its totient is φ = 124217614080.

The previous prime is 312002313061. The next prime is 312002313107. The reversal of 312002313100 is 1313200213.

It is a super-2 number, since 2×3120023131002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312002313107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31279714 + ... + 31289686.

It is an arithmetic number, because the mean of its divisors is an integer number (9447422670).

Almost surely, 2312002313100 is an apocalyptic number.

It is an amenable number.

312002313100 is an abundant number, since it is smaller than the sum of its proper divisors (368212119140).

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

312002313100 is a wasteful number, since it uses less digits than its factorization.

312002313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11419 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312002313100 its reverse (1313200213), we get a palindrome (313315513313).

The spelling of 312002313100 in words is "three hundred twelve billion, two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1163 1345 2326 2690 4652 5380 5815 6725 9973 11630 13450 19946 23260 26900 29075 39892 49865 58150 99730 116300 199460 249325 312847 498650 625694 997300 1251388 1564235 2682737 3128470 5365474 6256940 7821175 10730948 11598599 13413685 15642350 23197198 26827370 31284700 46394396 53654740 57992995 67068425 115985990 134136850 231971980 268273700 289964975 579929950 1159859900 3120023131 6240046262 12480092524 15600115655 31200231310 62400462620 78000578275 156001156550 312002313100