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101100112212 = 223117310491917
BaseRepresentation
bin101111000101000001…
…0010100100101010100
3100122221211200211111110
41132022002110211110
53124023112042322
6114240022135020
710206232526511
oct1361202244524
9318854624443
10101100112212
1139970417750
1217716281470
1396c26cc508
144c711cc308
15296aae3c0c
hex178a094954

101100112212 has 48 divisors (see below), whose sum is σ = 260871049152. Its totient is φ = 30216718080.

The previous prime is 101100112193. The next prime is 101100112231. The reversal of 101100112212 is 212211001101.

It is an interprime number because it is at equal distance from previous prime (101100112193) and next prime (101100112231).

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 15 ways as a sum of consecutive naturals, for example, 5236323 + ... + 5255594.

It is an arithmetic number, because the mean of its divisors is an integer number (5434813524).

Almost surely, 2101100112212 is an apocalyptic number.

101100112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100112212 is an abundant number, since it is smaller than the sum of its proper divisors (159770936940).

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

101100112212 is a wasteful number, since it uses less digits than its factorization.

101100112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492008 (or 10492006 counting only the distinct ones).

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

Adding to 101100112212 its reverse (212211001101), we get a palindrome (313311113313).

Subtracting 101100112212 from its reverse (212211001101), we obtain a square (111110888889 = 3333332).

It can be divided in two parts, 101100 and 112212, that added together give a palindrome (213312).

The spelling of 101100112212 in words is "one hundred one billion, one hundred million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 9636 10491917 20983834 31475751 41967668 62951502 115411087 125903004 230822174 346233261 461644348 692466522 765909941 1384933044 1531819882 2297729823 3063639764 4595459646 8425009351 9190919292 16850018702 25275028053 33700037404 50550056106 101100112212