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213203101302312 = 233112174318649759
BaseRepresentation
bin110000011110100000110111…
…000111100011111000101000
31000221220000110201001202022220
4300132200313013203320220
5210421104422413133222
62033240052543514040
762623262413554012
oct6036406707437050
91027800421052286
10213203101302312
1161a29a22545600
121bab42332b8920
1391c6c73929194
143a911299831b2
15199ad7e09eb5c
hexc1e8371e3e28

213203101302312 has 96 divisors (see below), whose sum is σ = 620330851526400. Its totient is φ = 60806588592640.

The previous prime is 213203101302187. The next prime is 213203101302337.

213203101302312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 2159275512 + ... + 2159374247.

It is an arithmetic number, because the mean of its divisors is an integer number (6461779703400).

Almost surely, 2213203101302312 is an apocalyptic number.

213203101302312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213203101302312 is an abundant number, since it is smaller than the sum of its proper divisors (407127750224088).

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

213203101302312 is a wasteful number, since it uses less digits than its factorization.

213203101302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318649807 (or 4318649792 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 21320310 and 1302312, that added together give a palindrome (22622622).

The spelling of 213203101302312 in words is "two hundred thirteen trillion, two hundred three billion, one hundred one million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 6171 8228 12342 16456 24684 49368 4318649759 8637299518 12955949277 17274599036 25911898554 34549198072 47505147349 51823797108 73417045903 95010294698 103647594216 142515442047 146834091806 190020589396 220251137709 285030884094 293668183612 380041178792 440502275418 522556620839 570061768188 587336367224 807587504933 881004550836 1045113241678 1140123536376 1567669862517 1615175009866 1762009101672 2090226483356 2422762514799 3135339725034 3230350019732 4180452966712 4845525029598 6270679450068 6460700039464 8883462554263 9691050059196 12541358900136 17766925108526 19382100118392 26650387662789 35533850217052 53300775325578 71067700434104 106601550651156 213203101302312