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112122211100 = 225273137112111
BaseRepresentation
bin110100001101100000…
…0010010101100011100
3101201101222201110201012
41220123000102230130
53314111241223400
6123301440034352
711046331032554
oct1503300225434
9351358643635
10112122211100
1143607079789
12198916029b8
13a75b093713
1455d8db2164
152db359ad35
hex1a1b012b1c

112122211100 has 72 divisors (see below), whose sum is σ = 248440640448. Its totient is φ = 43911244800.

The previous prime is 112122211099. The next prime is 112122211109. The reversal of 112122211100 is 1112221211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122211109) 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, 944045 + ... + 1056155.

Almost surely, 2112122211100 is an apocalyptic number.

112122211100 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 112122211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124220320224).

112122211100 is an abundant number, since it is smaller than the sum of its proper divisors (136318429348).

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

112122211100 is a wasteful number, since it uses less digits than its factorization.

112122211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112335 (or 112328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112122211100 its reverse (1112221211), we get a palindrome (113234432311).

The spelling of 112122211100 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 137 146 274 292 365 548 685 730 1370 1460 1825 2740 3425 3650 6850 7300 10001 13700 20002 40004 50005 100010 112111 200020 224222 250025 448444 500050 560555 1000100 1121110 2242220 2802775 5605550 8184103 11211100 15359207 16368206 30718414 32736412 40920515 61436828 76796035 81841030 153592070 163682060 204602575 307184140 383980175 409205150 767960350 818410300 1121222111 1535920700 2242444222 4484888444 5606110555 11212221110 22424442220 28030552775 56061105550 112122211100