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312232002030 = 232513383369623
BaseRepresentation
bin1001000101100100111…
…10100100000111101110
31002211220222121010001100
410202302132210013232
520103422343031110
6355234251223530
731362254141004
oct4426236440756
91084828533040
10312232002030
11110464909493
1250619a47ba6
132359c073a30
141117d8b2a74
1581c64aabc0
hex48b27a41ee

312232002030 has 96 divisors (see below), whose sum is σ = 874490250816. Its totient is φ = 76835953152.

The previous prime is 312232002013. The next prime is 312232002031. The reversal of 312232002030 is 30200232213.

It is a happy number.

312232002030 is a `hidden beast` number, since 312 + 2 + 320 + 0 + 2 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312232001994 and 312232002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312232002031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4449799 + ... + 4519421.

It is an arithmetic number, because the mean of its divisors is an integer number (9109273446).

Almost surely, 2312232002030 is an apocalyptic number.

312232002030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312232002030 is an abundant number, since it is smaller than the sum of its proper divisors (562258248786).

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

312232002030 is a wasteful number, since it uses less digits than its factorization.

312232002030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73482 (or 73479 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 312232002030 its reverse (30200232213), we get a palindrome (342432234243).

The spelling of 312232002030 in words is "three hundred twelve billion, two hundred thirty-two million, two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 3833 7666 11499 19165 22998 34497 38330 49829 57495 68994 69623 99658 114990 139246 149487 172485 208869 249145 298974 344970 348115 417738 448461 498290 626607 696230 747435 896922 905099 1044345 1253214 1494870 1810198 2088690 2242305 2715297 3133035 4484610 4525495 5430594 6266070 8145891 9050990 13576485 16291782 27152970 40729455 81458910 266864959 533729918 800594877 1334324795 1601189754 2401784631 2668649590 3469244467 4002974385 4803569262 6938488934 8005948770 10407733401 12008923155 17346222335 20815466802 24017846310 31223200203 34692444670 52038667005 62446400406 104077334010 156116001015 312232002030