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1020222012100 = 225210202220121
BaseRepresentation
bin11101101100010011111…
…10000111101011000100
310121112101000201002002011
432312021332013223010
5113203403313341400
62100403350224004
7133465024006354
oct16661176075304
93545330632064
101020222012100
11363745801995
12145886355004
137528b966985
1437544000b64
151b811c388ba
hexed89f87ac4

1020222012100 has 18 divisors (see below), whose sum is σ = 2213881766474. Its totient is φ = 408088804800.

The previous prime is 1020222012083. The next prime is 1020222012133. The reversal of 1020222012100 is 12102220201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 226882647684 + 793339364416 = 476322^2 + 890696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5101109961 + ... + 5101110160.

Almost surely, 21020222012100 is an apocalyptic number.

1020222012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020222012100 is an abundant number, since it is smaller than the sum of its proper divisors (1193659754374).

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

1020222012100 is a wasteful number, since it uses less digits than its factorization.

1020222012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202220135 (or 10202220128 counting only the distinct ones).

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

Adding to 1020222012100 its reverse (12102220201), we get a palindrome (1032324232301).

The spelling of 1020222012100 in words is "one trillion, twenty billion, two hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10202220121 20404440242 40808880484 51011100605 102022201210 204044402420 255055503025 510111006050 1020222012100