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112210110100 = 225211199512609
BaseRepresentation
bin110100010000000111…
…1100110011010010100
3101201122010010012110201
41220200033212122110
53314301242010400
6123314300030244
711051446125064
oct1504017463224
9351563105421
10112210110100
1143651755590
12198b6b32384
13a77335b26a
1456069333a4
152dbb16006a
hex1a203e6694

112210110100 has 72 divisors (see below), whose sum is σ = 266967288000. Its totient is φ = 40598553600.

The previous prime is 112210110091. The next prime is 112210110113. The reversal of 112210110100 is 1011012211.

It is a super-2 number, since 2×1122101101002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37405 + ... + 475204.

It is an arithmetic number, because the mean of its divisors is an integer number (3707879000).

Almost surely, 2112210110100 is an apocalyptic number.

112210110100 is a gapful number since it is divisible by the number (10) 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 112210110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133483644000).

112210110100 is an abundant number, since it is smaller than the sum of its proper divisors (154757177900).

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

112210110100 is a wasteful number, since it uses less digits than its factorization.

112210110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512833 (or 512826 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112210110100 its reverse (1011012211), we get a palindrome (113221122311).

The spelling of 112210110100 in words is "one hundred twelve billion, two hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 550 796 995 1100 1990 2189 3980 4378 4975 8756 9950 10945 19900 21890 43780 54725 109450 218900 512609 1025218 2050436 2563045 5126090 5638699 10252180 11277398 12815225 22554796 25630450 28193495 51260900 56386990 102009191 112773980 140967475 204018382 281934950 408036764 510045955 563869900 1020091910 1122101101 2040183820 2244202202 2550229775 4488404404 5100459550 5610505505 10200919100 11221011010 22442022020 28052527525 56105055050 112210110100