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100011033131 = 41131123715053
BaseRepresentation
bin101110100100100011…
…1110100001000101011
3100120010221101212212012
41131021013310020223
53114310311030011
6113535555310135
710140236520032
oct1351107641053
9316127355765
10100011033131
1139461691499
12174715ab34b
13957aba3619
144baa6d3719
1529051b8a8b
hex17491f422b

100011033131 has 16 divisors (see below), whose sum is σ = 103322707488. Its totient is φ = 96742214400.

The previous prime is 100011033121. The next prime is 100011033137. The reversal of 100011033131 is 131330110001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100011033131 is a prime.

It is a super-2 number, since 2×1000110331312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011033137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6636401 + ... + 6651453.

It is an arithmetic number, because the mean of its divisors is an integer number (6457669218).

Almost surely, 2100011033131 is an apocalyptic number.

100011033131 is a deficient number, since it is larger than the sum of its proper divisors (3311674357).

100011033131 is a wasteful number, since it uses less digits than its factorization.

100011033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100011033131 its reverse (131330110001), we get a palindrome (231341143132).

The spelling of 100011033131 in words is "one hundred billion, eleven million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 41 131 1237 5371 15053 50717 162047 617173 1971943 6643927 18620561 80849663 763443001 2439293491 100011033131