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101011110213 = 31321109179651
BaseRepresentation
bin101111000010010111…
…0110011100101000101
3100122201122020001201010
41132010232303211011
53123332321011323
6114223122352433
710204102161456
oct1360456634505
9318648201633
10101011110213
1139925158182
12176b04bb719
1396aa139900
144c6346112d
152962db2c93
hex1784bb3945

101011110213 has 24 divisors (see below), whose sum is σ = 145970843040. Its totient is φ = 62104286400.

The previous prime is 101011110181. The next prime is 101011110217. The reversal of 101011110213 is 312011110101.

It is not a de Polignac number, because 101011110213 - 25 = 101011110181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011110217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472438 + ... + 652088.

It is an arithmetic number, because the mean of its divisors is an integer number (6082118460).

Almost surely, 2101011110213 is an apocalyptic number.

101011110213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101011110213 is a deficient number, since it is larger than the sum of its proper divisors (44959732827).

101011110213 is a wasteful number, since it uses less digits than its factorization.

101011110213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180789 (or 180776 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101011110213 its reverse (312011110101), we get a palindrome (413022220314).

The spelling of 101011110213 in words is "one hundred one billion, eleven million, one hundred ten thousand, two hundred thirteen".

Divisors: 1 3 13 39 169 507 1109 3327 14417 43251 179651 187421 538953 562263 2335463 7006389 30361019 91083057 199232959 597698877 2590028467 7770085401 33670370071 101011110213