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312232131030 = 23541829306209
BaseRepresentation
bin1001000101100100111…
…11000011100111010110
31002211220222211200000010
410202302133003213112
520103422411143110
6355234254101050
731362255216051
oct4426237034726
91084828750003
10312232131030
111104649973a6
1250619aaa786
132359c0ba671
141117d907a98
1581c64d4020
hex48b27c39d6

312232131030 has 64 divisors (see below), whose sum is σ = 768562603200. Its totient is φ = 81132871680.

The previous prime is 312232131023. The next prime is 312232131047. The reversal of 312232131030 is 30131232213.

312232131030 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312232130988 and 312232131006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866566 + ... + 1172774.

It is an arithmetic number, because the mean of its divisors is an integer number (12008790675).

Almost surely, 2312232131030 is an apocalyptic number.

312232131030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312232131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384281301600).

312232131030 is an abundant number, since it is smaller than the sum of its proper divisors (456330472170).

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

312232131030 is a wasteful number, since it uses less digits than its factorization.

312232131030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307089.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312232131030 its reverse (30131232213), we get a palindrome (342363363243).

The spelling of 312232131030 in words is "three hundred twelve billion, two hundred thirty-two million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 829 1230 1658 2487 4145 4974 8290 12435 24870 33989 67978 101967 169945 203934 306209 339890 509835 612418 918627 1019670 1531045 1837254 3062090 4593135 9186270 12554569 25109138 37663707 62772845 75327414 125545690 188318535 253847261 376637070 507694522 761541783 1269236305 1523083566 2538472610 3807708915 7615417830 10407737701 20815475402 31223213103 52038688505 62446426206 104077377010 156116065515 312232131030