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100010122212 = 2237111337225023
BaseRepresentation
bin101110100100100010…
…0010101101111100100
3100120010212200121022110
41131021010111233210
53114310042402322
6113535524001020
710140226004220
oct1351104255744
9316125617273
10100010122212
113946111a070
1217471230170
13957a944b10
144baa537780
152905088c0c
hex1749115be4

100010122212 has 192 divisors, whose sum is σ = 321787920384. Its totient is φ = 23330280960.

The previous prime is 100010122183. The next prime is 100010122237. The reversal of 100010122212 is 212221010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331933 + ... + 556955.

It is an arithmetic number, because the mean of its divisors is an integer number (1675978752).

Almost surely, 2100010122212 is an apocalyptic number.

100010122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160893960192).

100010122212 is an abundant number, since it is smaller than the sum of its proper divisors (221777798172).

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

100010122212 is a wasteful number, since it uses less digits than its factorization.

100010122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225098 (or 225096 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100010122212 its reverse (212221010001), we get a palindrome (312231132213).

It can be divided in two parts, 100010 and 122212, that added together give a palindrome (222222).

The spelling of 100010122212 in words is "one hundred billion, ten million, one hundred twenty-two thousand, two hundred twelve".