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331230031301312 = 26111347770044523
BaseRepresentation
bin100101101010000001000000…
…0010110101100101011000000
31121102210021121101112122000122
41023110002000112230223000
5321403333101003120222
63132244550431035412
7126524402645546543
oct11324020026545300
91542707541478018
10331230031301312
11965a395a57a850
123119672336bb68
13112a8b1cb33230
145bb189498285a
1528460bea81a42
hex12d40805acac0

331230031301312 has 112 divisors (see below), whose sum is σ = 788624158275072. Its totient is φ = 136020664366080.

The previous prime is 331230031301311. The next prime is 331230031301327. The reversal of 331230031301312 is 213103130032133.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (331230031301311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384592118 + ... + 385452405.

It is an arithmetic number, because the mean of its divisors is an integer number (7041287127456).

Almost surely, 2331230031301312 is an apocalyptic number.

331230031301312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331230031301312 is an abundant number, since it is smaller than the sum of its proper divisors (457394126973760).

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

331230031301312 is a wasteful number, since it uses less digits than its factorization.

331230031301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770044606 (or 770044596 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 331230031301312 its reverse (213103130032133), we get a palindrome (544333161333445).

The spelling of 331230031301312 in words is "three hundred thirty-one trillion, two hundred thirty billion, thirty-one million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 88 94 104 143 176 188 208 286 352 376 416 517 572 611 704 752 832 1034 1144 1222 1504 2068 2288 2444 3008 4136 4576 4888 6721 8272 9152 9776 13442 16544 19552 26884 33088 39104 53768 107536 215072 430144 770044523 1540089046 3080178092 6160356184 8470489753 10010578799 12320712368 16940979506 20021157598 24641424736 33881959012 36192092581 40042315196 49282849472 67763918024 72384185162 80084630392 110116366789 135527836048 144768370324 160169260784 220232733578 271055672096 289536740648 320338521568 398113018391 440465467156 470497203553 542111344192 579073481296 640677043136 796226036782 880930934312 940994407106 1158146962592 1592452073564 1761861868624 1881988814212 2316293925184 3184904147128 3523723737248 3763977628424 5175469239083 6369808294256 7047447474496 7527955256848 10350938478166 12739616588512 15055910513696 20701876956332 25479233177024 30111821027392 41403753912664 82807507825328 165615015650656 331230031301312