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100122313032 = 2333766218461
BaseRepresentation
bin101110100111111000…
…0010100000101001000
3100120102200210111012000
41131033300110011020
53120022303004112
6113555012351000
710143060422160
oct1351760240510
9316380714160
10100122313032
1139509487755
12174a2915460
139597c66411
144bbb3bd5a0
15290ed4a7dc
hex174fc14148

100122313032 has 64 divisors (see below), whose sum is σ = 317848617600. Its totient is φ = 28606374720.

The previous prime is 100122313021. The next prime is 100122313043. The reversal of 100122313032 is 230313221001.

It is an interprime number because it is at equal distance from previous prime (100122313021) and next prime (100122313043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100122312996 and 100122313014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33107719 + ... + 33110742.

It is an arithmetic number, because the mean of its divisors is an integer number (4966384650).

Almost surely, 2100122313032 is an apocalyptic number.

100122313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122313032 is an abundant number, since it is smaller than the sum of its proper divisors (217726304568).

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

100122313032 is a wasteful number, since it uses less digits than its factorization.

100122313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66218483 (or 66218473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100122313032 its reverse (230313221001), we get a palindrome (330435534033).

The spelling of 100122313032 in words is "one hundred billion, one hundred twenty-two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 66218461 132436922 198655383 264873844 397310766 463529227 529747688 595966149 794621532 927058454 1191932298 1390587681 1589243064 1787898447 1854116908 2383864596 2781175362 3575796894 3708233816 4171763043 4767729192 5562350724 7151593788 8343526086 11124701448 12515289129 14303187576 16687052172 25030578258 33374104344 50061156516 100122313032