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100110021012 = 22332239741387
BaseRepresentation
bin101110100111100000…
…1011011000110010100
3100120101211122222201000
41131033001123012110
53120011131133022
6113553453103300
710142551065321
oct1351701330624
9316354588630
10100110021012
1139502551561
121749a787b30
139595551531
144bb98ddb48
15290dc1d6ac
hex174f05b194

100110021012 has 48 divisors (see below), whose sum is σ = 259562358720. Its totient is φ = 33367710816.

The previous prime is 100110020977. The next prime is 100110021019. The reversal of 100110021012 is 210120011001.

It is a happy number.

100110021012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 100110020985 and 100110021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110021019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398183 + ... + 2439569.

It is an arithmetic number, because the mean of its divisors is an integer number (5407549140).

Almost surely, 2100110021012 is an apocalyptic number.

100110021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110021012 is an abundant number, since it is smaller than the sum of its proper divisors (159452337708).

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

100110021012 is a wasteful number, since it uses less digits than its factorization.

100110021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63797 (or 63789 counting only the distinct ones).

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

Adding to 100110021012 its reverse (210120011001), we get a palindrome (310230032013).

The spelling of 100110021012 in words is "one hundred billion, one hundred ten million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 22397 41387 44794 67191 82774 89588 124161 134382 165548 201573 248322 268764 372483 403146 496644 604719 744966 806292 1117449 1209438 1489932 2234898 2418876 4469796 926944639 1853889278 2780833917 3707778556 5561667834 8342501751 11123335668 16685003502 25027505253 33370007004 50055010506 100110021012