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100222020212000 = 255325055505053
BaseRepresentation
bin10110110010011011000001…
…111010011101010100100000
3111010212010112220111212220112
4112302123001322131110200
5101114014144133241000
6553053205510230452
730052542042616121
oct2662330172352440
9433763486455815
10100222020212000
1129a2aa13699595
12b2a7847955428
1343bcb85542b5b
141aa6ab3616048
15b8c011016235
hex5b26c1e9d520

100222020212000 has 48 divisors (see below), whose sum is σ = 246245503670712. Its totient is φ = 40088808083200.

The previous prime is 100222020211993. The next prime is 100222020212011. The reversal of 100222020212000 is 212020222001.

It can be written as a sum of positive squares in 4 ways, for example, as 46467726092176 + 53754294119824 = 6816724^2 + 7331732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12527748527 + ... + 12527756526.

Almost surely, 2100222020212000 is an apocalyptic number.

100222020212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222020212000 is an abundant number, since it is smaller than the sum of its proper divisors (146023483458712).

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

100222020212000 is an equidigital number, since it uses as much as digits as its factorization.

100222020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25055505078 (or 25055505060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100222020212000 its reverse (212020222001), we get a palindrome (100434040434001).

The spelling of 100222020212000 in words is "one hundred trillion, two hundred twenty-two billion, twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 25055505053 50111010106 100222020212 125277525265 200444040424 250555050530 400888080848 501110101060 626387626325 801776161696 1002220202120 1252775252650 2004440404240 2505550505300 3131938131625 4008880808480 5011101010600 6263876263250 10022202021200 12527752526500 20044404042400 25055505053000 50111010106000 100222020212000