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112102201211 = 71113990111311
BaseRepresentation
bin110100001100111001…
…1111101011101111011
3101201100121001212022012
41220121303331131323
53314041130414321
6123255443120135
711045665662650
oct1503163753573
9351317055265
10112102201211
11435a6851a90
121988697304b
13a756ba8950
1455d6483c27
152db194705b
hex1a19cfd77b

112102201211 has 32 divisors (see below), whose sum is σ = 150543353856. Its totient is φ = 80617680000.

The previous prime is 112102201187. The next prime is 112102201223.

112102201211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112102201211 - 214 = 112102184827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112102201711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9905246 + ... + 9916556.

It is an arithmetic number, because the mean of its divisors is an integer number (4704479808).

Almost surely, 2112102201211 is an apocalyptic number.

112102201211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112102201211 is a deficient number, since it is larger than the sum of its proper divisors (38441152645).

112102201211 is a wasteful number, since it uses less digits than its factorization.

112102201211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21243.

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

It can be divided in two parts, 112102 and 201211, that added together give a palindrome (313313).

The spelling of 112102201211 in words is "one hundred twelve billion, one hundred two million, two hundred one thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 9901 11311 69307 79177 108911 124421 128713 147043 762377 870947 900991 1029301 1415843 1617473 9910901 11322311 111990211 783931477 1231892321 1455872743 8623246247 10191109201 16014600173 112102201211