Search a number
-
+
312331332100 = 225217574331991
BaseRepresentation
bin1001000101110000110…
…01011110101000000100
31002212011220111121021211
410202320121132220010
520104123310111400
6355252200221204
731364601343024
oct4427031365004
91085156447254
10312331332100
11110505992657
125064716a804
13235b6811618
141118cb6ba84
1581d007bdba
hex48b865ea04

312331332100 has 72 divisors (see below), whose sum is σ = 717774559488. Its totient is φ = 117559411200.

The previous prime is 312331332073. The next prime is 312331332107. The reversal of 312331332100 is 1233133213.

It is a super-2 number, since 2×3123313321002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312331332107) 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, 9747105 + ... + 9779095.

It is an arithmetic number, because the mean of its divisors is an integer number (9969091104).

Almost surely, 2312331332100 is an apocalyptic number.

It is an amenable number.

312331332100 is an abundant number, since it is smaller than the sum of its proper divisors (405443227388).

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

312331332100 is a wasteful number, since it uses less digits than its factorization.

312331332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37765 (or 37758 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 312331332100 its reverse (1233133213), we get a palindrome (313564465313).

The spelling of 312331332100 in words is "three hundred twelve billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 5743 11486 22972 28715 31991 57430 63982 97631 114860 127964 143575 159955 195262 287150 319910 390524 488155 543847 574300 639820 799775 976310 1087694 1599550 1952620 2175388 2440775 2719235 3199100 4881550 5438470 9763100 10876940 13596175 27192350 54384700 183724313 367448626 734897252 918621565 1837243130 3123313321 3674486260 4593107825 6246626642 9186215650 12493253284 15616566605 18372431300 31233133210 62466266420 78082833025 156165666050 312331332100