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220000010120020 = 2251337167136940263
BaseRepresentation
bin110010000001011010111110…
…011101000010101101010100
31001211221210110222010201021201
4302001122332131002231110
5212313440010042320040
62055522335344322244
764224322224346024
oct6201327635025524
91054853428121251
10220000010120020
116410a531362739
1220811586313384
13959abb16a6ca0
143c480b3357a84
151a67a89c73a9a
hexc816be742b54

220000010120020 has 96 divisors (see below), whose sum is σ = 514045267481088. Its totient is φ = 78562080548352.

The previous prime is 220000010119997. The next prime is 220000010120021. The reversal of 220000010120020 is 20021010000022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220000010119979 and 220000010120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220000010120021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66863592 + ... + 70076671.

It is an arithmetic number, because the mean of its divisors is an integer number (5354638202928).

Almost surely, 2220000010120020 is an apocalyptic number.

220000010120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000010120020 is an abundant number, since it is smaller than the sum of its proper divisors (294045257361068).

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

220000010120020 is a wasteful number, since it uses less digits than its factorization.

220000010120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136940489 (or 136940487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220000010120020 its reverse (20021010000022), we get a palindrome (240021020120042).

The spelling of 220000010120020 in words is "two hundred twenty trillion, ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 167 185 260 334 370 481 668 740 835 962 1670 1924 2171 2405 3340 4342 4810 6179 8684 9620 10855 12358 21710 24716 30895 43420 61790 80327 123580 160654 321308 401635 803270 1606540 136940263 273880526 547761052 684701315 1369402630 1780223419 2738805260 3560446838 5066789731 7120893676 8901117095 10133579462 17802234190 20267158924 22869023921 25333948655 35604468380 45738047842 50667897310 65868266503 91476095684 101335794620 114345119605 131736533006 228690239210 263473066012 297297310973 329341332515 457380478420 594594621946 658682665030 846153885077 1189189243892 1317365330060 1486486554865 1692307770154 2972973109730 3384615540308 4230769425385 5945946219460 8461538850770 11000000506001 16923077701540 22000001012002 44000002024004 55000002530005 110000005060010 220000010120020