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101041222113 = 32131396212951
BaseRepresentation
bin101111000011010000…
…1101011000111100001
3100122210201212220110200
41132012201223013201
53123413023101423
6114230120015413
710204616134326
oct1360641530741
9318721786420
10101041222113
1139940154747
12176ba601569
1396b34507c0
144c6745cb4d
15296585ed43
hex178686b1e1

101041222113 has 24 divisors (see below), whose sum is σ = 158306016960. Its totient is φ = 61731871200.

The previous prime is 101041222067. The next prime is 101041222127. The reversal of 101041222113 is 311222140101.

101041222113 is a `hidden beast` number, since 10 + 10 + 412 + 221 + 13 = 666.

It is not a de Polignac number, because 101041222113 - 29 = 101041221601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101041222193) 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, 3090213 + ... + 3122738.

It is an arithmetic number, because the mean of its divisors is an integer number (6596084040).

Almost surely, 2101041222113 is an apocalyptic number.

101041222113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101041222113 is a deficient number, since it is larger than the sum of its proper divisors (57264794847).

101041222113 is a wasteful number, since it uses less digits than its factorization.

101041222113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213109 (or 6213106 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101041222113 its reverse (311222140101), we get a palindrome (412263362214).

The spelling of 101041222113 in words is "one hundred one billion, forty-one million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 139 417 1251 1807 5421 16263 6212951 18638853 55916559 80768363 242305089 726915267 863600189 2590800567 7772401701 11226802457 33680407371 101041222113