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103212311220 = 223254003143243
BaseRepresentation
bin110000000011111101…
…1101110001010110100
3100212102001011122211100
41200013323232022310
53142334322424340
6115225354010100
710312461112224
oct1400773561264
9325361148740
10103212311220
113a854728067
1218005716930
13996b19bb05
144dd1932084
152a4126a830
hex1807eee2b4

103212311220 has 72 divisors (see below), whose sum is σ = 313157740896. Its totient is φ = 27516215232.

The previous prime is 103212311149. The next prime is 103212311243. The reversal of 103212311220 is 22113212301.

103212311220 is a `hidden beast` number, since 10 + 321 + 2 + 311 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103212311193 and 103212311202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648919 + ... + 792161.

It is an arithmetic number, because the mean of its divisors is an integer number (4349413068).

Almost surely, 2103212311220 is an apocalyptic number.

103212311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103212311220 is an abundant number, since it is smaller than the sum of its proper divisors (209945429676).

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

103212311220 is a wasteful number, since it uses less digits than its factorization.

103212311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147261 (or 147256 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103212311220 its reverse (22113212301), we get a palindrome (125325523521).

The spelling of 103212311220 in words is "one hundred three billion, two hundred twelve million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4003 8006 12009 16012 20015 24018 36027 40030 48036 60045 72054 80060 120090 143243 144108 180135 240180 286486 360270 429729 572972 716215 720540 859458 1289187 1432430 1718916 2148645 2578374 2864860 4297290 5156748 6445935 8594580 12891870 25783740 573401729 1146803458 1720205187 2293606916 2867008645 3440410374 5160615561 5734017290 6880820748 8601025935 10321231122 11468034580 17202051870 20642462244 25803077805 34404103740 51606155610 103212311220