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1020012222100 = 225212789239001
BaseRepresentation
bin11101101011111010111…
…01110101011010010100
310121111211101221122022011
432311331131311122110
5113202441112101400
62100330453514004
7133456565555614
oct16657535653224
93544741848264
101020012222100
11363648342623
12145828042904
1375257362591
14375241d0a44
151b7ed5e88ba
hexed7d775694

1020012222100 has 72 divisors (see below), whose sum is σ = 2231352962048. Its totient is φ = 404701920000.

The previous prime is 1020012222071. The next prime is 1020012222101. The reversal of 1020012222100 is 12222100201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020012222101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113317600 + ... + 113326600.

Almost surely, 21020012222100 is an apocalyptic number.

1020012222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115676481024).

1020012222100 is an abundant number, since it is smaller than the sum of its proper divisors (1211340739948).

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

1020012222100 is a wasteful number, since it uses less digits than its factorization.

1020012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18065 (or 18058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020012222100 its reverse (12222100201), we get a palindrome (1032234322301).

The spelling of 1020012222100 in words is "one trillion, twenty billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 8923 9001 12700 17846 18002 35692 36004 44615 45005 89230 90010 178460 180020 223075 225025 446150 450050 892300 900100 1133221 1143127 2266442 2286254 4532884 4572508 5666105 5715635 11332210 11431270 22664420 22862540 28330525 28578175 56661050 57156350 80315923 113322100 114312700 160631846 321263692 401579615 803159230 1606318460 2007898075 4015796150 8031592300 10200122221 20400244442 40800488884 51000611105 102001222210 204002444420 255003055525 510006111050 1020012222100