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100122310100 = 22521638161121
BaseRepresentation
bin101110100111111000…
…0010011010111010100
3100120102200210100011102
41131033300103113110
53120022302410400
6113555012325232
710143060410501
oct1351760232724
9316380710142
10100122310100
113950948552a
12174a2913818
139597c64c97
144bbb3bc4a8
15290ed499d5
hex174fc135d4

100122310100 has 36 divisors (see below), whose sum is σ = 217282231068. Its totient is φ = 40045824000.

The previous prime is 100122310049. The next prime is 100122310139. The reversal of 100122310100 is 1013221001.

It can be written as a sum of positive squares in 6 ways, for example, as 57668180164 + 42454129936 = 240142^2 + 206044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1607540 + ... + 1668660.

Almost surely, 2100122310100 is an apocalyptic number.

100122310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122310100 is an abundant number, since it is smaller than the sum of its proper divisors (117159920968).

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

100122310100 is a wasteful number, since it uses less digits than its factorization.

100122310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77516 (or 77509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100122310100 its reverse (1013221001), we get a palindrome (101135531101).

The spelling of 100122310100 in words is "one hundred billion, one hundred twenty-two million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 16381 32762 61121 65524 81905 122242 163810 244484 305605 327620 409525 611210 819050 1222420 1528025 1638100 3056050 6112100 1001223101 2002446202 4004892404 5006115505 10012231010 20024462020 25030577525 50061155050 100122310100