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312001140431020 = 22543439709825073
BaseRepresentation
bin100011011110000110110110…
…1001001010001100010101100
31111220201000110220221120220111
41012330031231021101202230
5311343311313422243040
63023323202321425404
7122501224054140265
oct10674155511214254
91456630426846814
10312001140431020
119045aa38a13aa7
122ababab279b264
1310512773160151
145708d15a7996c
152610ceb94edea
hex11bc36d2518ac

312001140431020 has 48 divisors (see below), whose sum is σ = 670441997221920. Its totient is φ = 121897695015936.

The previous prime is 312001140431017. The next prime is 312001140431089. The reversal of 312001140431020 is 20134041100213.

It is a super-2 number, since 2×3120011404310202 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312001140430982 and 312001140431000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377737204 + ... + 378562276.

It is an arithmetic number, because the mean of its divisors is an integer number (13967541608790).

Almost surely, 2312001140431020 is an apocalyptic number.

It is an amenable number.

312001140431020 is an abundant number, since it is smaller than the sum of its proper divisors (358440856790900).

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

312001140431020 is a wasteful number, since it uses less digits than its factorization.

312001140431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264834 (or 1264832 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 312001140431020 its reverse (20134041100213), we get a palindrome (332135181531233).

The spelling of 312001140431020 in words is "three hundred twelve trillion, one billion, one hundred forty million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 439709 825073 879418 1650146 1758836 2198545 3300292 4125365 4397090 8250730 8794180 16501460 18907487 35478139 37814974 70956278 75629948 94537435 141912556 177390695 189074870 354781390 378149740 709562780 362792023757 725584047514 1451168095028 1813960118785 3627920237570 7255840475140 15600057021551 31200114043102 62400228086204 78000285107755 156000570215510 312001140431020