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220134085204104 = 233243148134800023
BaseRepresentation
bin110010000011010111110101…
…111100111001100010001000
31001212102121112220001200100200
4302003113311330321202020
5212323134101303012404
62100104111434532200
764240106562640011
oct6203276574714210
91055377486050320
10220134085204104
1164161383239855
1220833563897060
1395aa72a8cbb76
143c50791b20008
151a6b2d573e839
hexc835f5f39888

220134085204104 has 96 divisors (see below), whose sum is σ = 610102826498880. Its totient is φ = 71666709270912.

The previous prime is 220134085204069. The next prime is 220134085204153. The reversal of 220134085204104 is 401402580431022.

220134085204104 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 340 + 8 + 5 + 204 + 104 = 666.

220134085204104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2201340852041042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43461037 + ... + 48261059.

It is an arithmetic number, because the mean of its divisors is an integer number (6355237776030).

Almost surely, 2220134085204104 is an apocalyptic number.

220134085204104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220134085204104 is an abundant number, since it is smaller than the sum of its proper divisors (389968741294776).

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

220134085204104 is a wasteful number, since it uses less digits than its factorization.

220134085204104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814891 (or 4814884 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 220134085204104 in words is "two hundred twenty trillion, one hundred thirty-four billion, eighty-five million, two hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 14813 29626 44439 59252 88878 118504 133317 177756 266634 355512 533268 636959 1066536 1273918 1910877 2547836 3821754 4800023 5095672 5732631 7643508 9600046 11465262 14400069 15287016 19200092 22930524 28800138 38400184 43200207 45861048 57600276 86400414 115200552 172800828 206400989 345601656 412801978 619202967 825603956 1238405934 1651207912 1857608901 2476811868 3715217802 4953623736 7430435604 14860871208 71102740699 142205481398 213308222097 284410962796 426616444194 568821925592 639924666291 853232888388 1279849332582 1706465776776 2559698665164 3057417850057 5119397330328 6114835700114 9172253550171 12229671400228 18344507100342 24459342800456 27516760650513 36689014200684 55033521301026 73378028401368 110067042602052 220134085204104