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102212211210 = 23533710110011
BaseRepresentation
bin101111100110001010…
…0101001001000001010
3100202211100022022112020
41133030110221020022
53133312311224320
6114542230225310
710245625313604
oct1371424511012
9322740268466
10102212211210
113a39114612a
12179867b5236
13983bc28265
144d38b9a174
1529d3569940
hex17cc52920a

102212211210 has 32 divisors (see below), whose sum is σ = 246037252032. Its totient is φ = 27175706880.

The previous prime is 102212211089. The next prime is 102212211217. The reversal of 102212211210 is 12112212201.

102212211210 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022122112102 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102212211210.

It is not an unprimeable number, because it can be changed into a prime (102212211217) 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, 5044896 + ... + 5065115.

It is an arithmetic number, because the mean of its divisors is an integer number (7688664126).

Almost surely, 2102212211210 is an apocalyptic number.

102212211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212211210 is an abundant number, since it is smaller than the sum of its proper divisors (143825040822).

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

102212211210 is a wasteful number, since it uses less digits than its factorization.

102212211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110358.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212211210 its reverse (12112212201), we get a palindrome (114324423411).

Subtracting from 102212211210 its reverse (12112212201), we obtain a palindrome (90099999009).

The spelling of 102212211210 in words is "one hundred two billion, two hundred twelve million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 337 674 1011 1685 2022 3370 5055 10110 10110011 20220022 30330033 50550055 60660066 101100110 151650165 303300330 3407073707 6814147414 10221221121 17035368535 20442442242 34070737070 51106105605 102212211210