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120022000000100 = 225211139784970569
BaseRepresentation
bin11011010010100011001100…
…101011001101110001100100
3120201221222202112122211112222
4123102203030223031301210
5111212420024000000400
61103133202353131512
734165206022123142
oct3322431453156144
9521858675584488
10120022000000100
113527405403a980
1211565098b59b98
1351c804527ba03
14218d14ac10592
15dd20aac84185
hex6d28ccacdc64

120022000000100 has 72 divisors (see below), whose sum is σ = 286168870999200. Its totient is φ = 43330375353600.

The previous prime is 120022000000079. The next prime is 120022000000127. The reversal of 120022000000100 is 1000000220021.

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, 392332385 + ... + 392638184.

Almost surely, 2120022000000100 is an apocalyptic number.

120022000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022000000100 is an abundant number, since it is smaller than the sum of its proper divisors (166146870999100).

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

120022000000100 is a wasteful number, since it uses less digits than its factorization.

120022000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784970733 (or 784970726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120022000000100 its reverse (1000000220021), we get a palindrome (121022000220121).

The spelling of 120022000000100 in words is "one hundred twenty trillion, twenty-two billion, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 1100 1390 1529 2780 3058 3475 6116 6950 7645 13900 15290 30580 38225 76450 152900 784970569 1569941138 3139882276 3924852845 7849705690 8634676259 15699411380 17269352518 19624264225 34538705036 39248528450 43173381295 78497056900 86346762590 109110909091 172693525180 215866906475 218221818182 431733812950 436443636364 545554545455 863467625900 1091109090910 1200220000001 2182218181820 2400440000002 2727772727275 4800880000004 5455545454550 6001100000005 10911090909100 12002200000010 24004400000020 30005500000025 60011000000050 120022000000100