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100222132100 = 22521002221321
BaseRepresentation
bin101110101010110110…
…1000101111110000100
3100120200122121211012112
41131111231011332010
53120223331211400
6114012540040152
710145412031646
oct1352555057604
9316618554175
10100222132100
113955a865252
1217510233058
1395b284575c
144bca764896
1529189b6835
hex1755b45f84

100222132100 has 18 divisors (see below), whose sum is σ = 217482026874. Its totient is φ = 40088852800.

The previous prime is 100222132063. The next prime is 100222132111. The reversal of 100222132100 is 1231222001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7405635136 + 92816496964 = 86056^2 + 304658^2 .

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, 501110561 + ... + 501110760.

Almost surely, 2100222132100 is an apocalyptic number.

100222132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222132100 is an abundant number, since it is smaller than the sum of its proper divisors (117259894774).

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

100222132100 is a wasteful number, since it uses less digits than its factorization.

100222132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002221335 (or 1002221328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100222132100 its reverse (1231222001), we get a palindrome (101453354101).

The spelling of 100222132100 in words is "one hundred billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1002221321 2004442642 4008885284 5011106605 10022213210 20044426420 25055533025 50111066050 100222132100