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100212101112 = 23315923262231
BaseRepresentation
bin101110101010100011…
…0110100111111111000
3100120122221202012021110
41131111012310333320
53120213244213422
6114011541040320
710145230543044
oct1352506647770
9316587665243
10100212101112
1139555133882
12175089b60a0
1395b0742a66
144bc92b3024
152917b8460c
hex17551b4ff8

100212101112 has 32 divisors (see below), whose sum is σ = 250546942080. Its totient is φ = 33401808480.

The previous prime is 100212101029. The next prime is 100212101131. The reversal of 100212101112 is 211101212001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251037 + ... + 513267.

It is an arithmetic number, because the mean of its divisors is an integer number (7829591940).

Almost surely, 2100212101112 is an apocalyptic number.

100212101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212101112 is an abundant number, since it is smaller than the sum of its proper divisors (150334840968).

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

100212101112 is a wasteful number, since it uses less digits than its factorization.

100212101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278163 (or 278159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100212101112 its reverse (211101212001), we get a palindrome (311313313113).

It can be divided in two parts, 100 and 212101112, that added together give a palindrome (212101212).

The spelling of 100212101112 in words is "one hundred billion, two hundred twelve million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 15923 31846 47769 63692 95538 127384 191076 262231 382152 524462 786693 1048924 1573386 2097848 3146772 6293544 4175504213 8351008426 12526512639 16702016852 25053025278 33404033704 50106050556 100212101112