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20100312122 = 2113232331409
BaseRepresentation
bin10010101110000100…
…100110110000111010
31220212211021122121112
4102232010212300322
5312131134441442
613122311240322
71311050556032
oct225604466072
956784248545
1020100312122
118585114000
123a8b6790a2
131b843ca517
14d897588c2
157c9983082
hex4ae126c3a

20100312122 has 64 divisors (see below), whose sum is σ = 34778315520. Its totient is φ = 8695582720.

The previous prime is 20100312109. The next prime is 20100312131. The reversal of 20100312122 is 22121300102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20100312097 and 20100312106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14264954 + ... + 14266362.

It is an arithmetic number, because the mean of its divisors is an integer number (543411180).

Almost surely, 220100312122 is an apocalyptic number.

20100312122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20100312122 is a deficient number, since it is larger than the sum of its proper divisors (14678003398).

20100312122 is a wasteful number, since it uses less digits than its factorization.

20100312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1678 counting only the distinct ones).

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

Adding to 20100312122 its reverse (22121300102), we get a palindrome (42221612224).

The spelling of 20100312122 in words is "twenty billion, one hundred million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 23 46 121 233 242 253 466 506 1331 1409 2563 2662 2783 2818 5126 5359 5566 10718 15499 28193 30613 30998 32407 56386 58949 61226 64814 117898 170489 310123 328297 340978 356477 620246 648439 656594 712954 1296878 1875379 3611267 3750758 3921247 7132829 7222534 7550831 7842494 14265658 15101662 39723937 43133717 79447874 83059141 86267434 166118282 436963307 873926614 913650551 1827301102 10050156061 20100312122