Search a number
-
+
312001103012032 = 2673399072048887
BaseRepresentation
bin100011011110000110110101…
…0111010100010000011000000
31111220201000101022112111201001
41012330031222322202003000
5311343311224332341112
63023323154503421344
7122501223121112110
oct10674155272420300
91456630338474631
10312001103012032
119045aa19886615
122ababaa2154854
131051276848b335
145708d10ad9040
152610ce850cc57
hex11bc36aea20c0

312001103012032 has 56 divisors (see below), whose sum is σ = 707576357060864. Its totient is φ = 133714299785472.

The previous prime is 312001103012021. The next prime is 312001103012149. The reversal of 312001103012032 is 230210301100213.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151253893 + ... + 153302779.

Almost surely, 2312001103012032 is an apocalyptic number.

312001103012032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312001103012032 is an abundant number, since it is smaller than the sum of its proper divisors (395575254048832).

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

312001103012032 is a wasteful number, since it uses less digits than its factorization.

312001103012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388813 (or 2388803 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312001103012032 its reverse (230210301100213), we get a palindrome (542211404112245).

The spelling of 312001103012032 in words is "three hundred twelve trillion, one billion, one hundred three million, twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 339907 679814 1359628 2048887 2379349 2719256 4097774 4758698 5438512 8195548 9517396 10877024 14342209 16391096 19034792 21754048 28684418 32782192 38069584 57368836 65564384 76139168 114737672 131128768 152278336 229475344 458950688 917901376 696431033509 1392862067018 2785724134036 4875017234563 5571448268072 9750034469126 11142896536144 19500068938252 22285793072288 39000137876504 44571586144576 78000275753008 156000551506016 312001103012032