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100112001210 = 23251385565813
BaseRepresentation
bin101110100111100100…
…0111110100010111010
3100120101222101121000200
41131033020332202322
53120012133014320
6113554003343030
710142603653434
oct1351710764272
9316358347020
10100112001210
1139503684291
121749b381a76
139595a95950
144bb9c97654
15290deb0290
hex174f23e8ba

100112001210 has 48 divisors (see below), whose sum is σ = 280313606664. Its totient is φ = 24642953856.

The previous prime is 100112001163. The next prime is 100112001229. The reversal of 100112001210 is 12100211001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46168687161 + 53943314049 = 214869^2 + 232257^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100112001192 and 100112001201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42781737 + ... + 42784076.

Almost surely, 2100112001210 is an apocalyptic number.

100112001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112001210 is an abundant number, since it is smaller than the sum of its proper divisors (180201605454).

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

100112001210 is a wasteful number, since it uses less digits than its factorization.

100112001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85565839 (or 85565836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100112001210 its reverse (12100211001), we get a palindrome (112212212211).

The spelling of 100112001210 in words is "one hundred billion, one hundred twelve million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 85565813 171131626 256697439 427829065 513394878 770092317 855658130 1112355569 1283487195 1540184634 2224711138 2566974390 3337066707 3850461585 5561777845 6674133414 7700923170 10011200121 11123555690 16685333535 20022400242 33370667070 50056000605 100112001210