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100212331122 = 232151166922091
BaseRepresentation
bin101110101010100011…
…1101101001001110010
3100120122222011212210100
41131111013231021302
53120213324043442
6114011550013230
710145232521451
oct1352507551162
9316588155710
10100212331122
1139555280672
1217508aa7216
1395b07c3667
144bc9332b98
152917bcc84c
hex17551ed272

100212331122 has 48 divisors (see below), whose sum is σ = 218705497920. Its totient is φ = 33161508000.

The previous prime is 100212331117. The next prime is 100212331129. The reversal of 100212331122 is 221133212001.

100212331122 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 331 + 122 = 666.

It is a super-2 number, since 2×1002123311222 (a number of 23 digits) contains 22 as substring.

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 = 100212331095 and 100212331104.

It is not an unprimeable number, because it can be changed into a prime (100212331129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4525297 + ... + 4547387.

It is an arithmetic number, because the mean of its divisors is an integer number (4556364540).

Almost surely, 2100212331122 is an apocalyptic number.

100212331122 is an abundant number, since it is smaller than the sum of its proper divisors (118493166798).

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

100212331122 is a wasteful number, since it uses less digits than its factorization.

100212331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23919 (or 23916 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100212331122 its reverse (221133212001), we get a palindrome (321345543123).

The spelling of 100212331122 in words is "one hundred billion, two hundred twelve million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 1669 2718 3338 5007 10014 15021 22091 30042 44182 66273 132546 198819 252019 397638 504038 756057 1512114 2268171 3335741 4536342 6671482 10007223 20014446 30021669 36869879 60043338 73739758 110609637 221219274 331828911 663657822 5567351729 11134703458 16702055187 33404110374 50106165561 100212331122