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311212201300032 = 26312718170513633
BaseRepresentation
bin100011011000010111011110…
…0101101010101000001000000
31111210220121002101210012202010
41012300232330231111001000
5311242400042013100112
63021520524522052520
7122360224316154624
oct10660567455250100
91453817071705663
10311212201300032
119018639839196a
122aaa301464a140
13104862529007a6
1456bca7270b184
1525ea52472263c
hex11b0bbcb55040

311212201300032 has 112 divisors (see below), whose sum is σ = 834484293773312. Its totient is φ = 102351947120640.

The previous prime is 311212201300009. The next prime is 311212201300087. The reversal of 311212201300032 is 230003102212113.

It is a junction number, because it is equal to n+sod(n) for n = 311212201299981 and 311212201300008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30843313 + ... + 39670320.

It is an arithmetic number, because the mean of its divisors is an integer number (7450752622976).

Almost surely, 2311212201300032 is an apocalyptic number.

311212201300032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311212201300032 is an abundant number, since it is smaller than the sum of its proper divisors (523272092473280).

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

311212201300032 is a wasteful number, since it uses less digits than its factorization.

311212201300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70513956 (or 70513946 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 311212201300032 its reverse (230003102212113), we get a palindrome (541215303512145).

The spelling of 311212201300032 in words is "three hundred eleven trillion, two hundred twelve billion, two hundred one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 181 192 254 362 381 508 543 724 762 1016 1086 1448 1524 2032 2172 2896 3048 4064 4344 5792 6096 8128 8688 11584 12192 17376 22987 24384 34752 45974 68961 91948 137922 183896 275844 367792 551688 735584 1103376 1471168 2206752 4413504 70513633 141027266 211540899 282054532 423081798 564109064 846163596 1128218128 1692327192 2256436256 3384654384 4512872512 6769308768 8955231391 12762967573 13538617536 17910462782 25525935146 26865694173 35820925564 38288902719 51051870292 53731388346 71641851128 76577805438 102103740584 107462776692 143283702256 153155610876 204207481168 214925553384 286567404512 306311221752 408414962336 429851106768 573134809024 612622443504 816829924672 859702213536 1225244887008 1620896881771 1719404427072 2450489774016 3241793763542 4862690645313 6483587527084 9725381290626 12967175054168 19450762581252 25934350108336 38901525162504 51868700216672 77803050325008 103737400433344 155606100650016 311212201300032