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100312113210 = 23519117506477
BaseRepresentation
bin101110101101100010…
…0010110000000111010
3100120220220221100002020
41131123010112000322
53120414400110320
6114025512415310
710150553615361
oct1353304260072
9316826840066
10100312113210
11395a6633401
12175363a7536
1395c838bc0a
144bd86a87d8
15292183c940
hex175b11603a

100312113210 has 32 divisors (see below), whose sum is σ = 242009551872. Its totient is φ = 26609843520.

The previous prime is 100312113199. The next prime is 100312113217. The reversal of 100312113210 is 12311213001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100312113210.

It is not an unprimeable number, because it can be changed into a prime (100312113217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8747509 + ... + 8758968.

It is an arithmetic number, because the mean of its divisors is an integer number (7562798496).

Almost surely, 2100312113210 is an apocalyptic number.

100312113210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100312113210 is an abundant number, since it is smaller than the sum of its proper divisors (141697438662).

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

100312113210 is a wasteful number, since it uses less digits than its factorization.

100312113210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17506678.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100312113210 its reverse (12311213001), we get a palindrome (112623326211).

The spelling of 100312113210 in words is "one hundred billion, three hundred twelve million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 191 382 573 955 1146 1910 2865 5730 17506477 35012954 52519431 87532385 105038862 175064770 262597155 525194310 3343737107 6687474214 10031211321 16718685535 20062422642 33437371070 50156056605 100312113210