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101002103131014 = 2336432908879187
BaseRepresentation
bin10110111101110001100010…
…011110101000101110000110
3111020121201002020011002011000
4112331301202132220232012
5101214304301400143024
6554451420422354130
730163106162205501
oct2675614236505606
9436551066132130
10101002103131014
112a20082a109578
12b3b2a73b8b946
1344485c40577b7
141ad27566bc138
15ba246a9bacc9
hex5bdc627a8b86

101002103131014 has 32 divisors (see below), whose sum is σ = 224798183648640. Its totient is φ = 33615007873416.

The previous prime is 101002103130997. The next prime is 101002103131037. The reversal of 101002103131014 is 410131301200101.

It is a happy number.

101002103131014 is a `hidden beast` number, since 1 + 0 + 100 + 210 + 31 + 310 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1454404872 + ... + 1454474315.

It is an arithmetic number, because the mean of its divisors is an integer number (7024943239020).

Almost surely, 2101002103131014 is an apocalyptic number.

101002103131014 is an abundant number, since it is smaller than the sum of its proper divisors (123796080517626).

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

101002103131014 is a wasteful number, since it uses less digits than its factorization.

101002103131014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908879841 (or 2908879835 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101002103131014 its reverse (410131301200101), we get a palindrome (511133404331115).

The spelling of 101002103131014 in words is "one hundred one trillion, two billion, one hundred three million, one hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 643 1286 1929 3858 5787 11574 17361 34722 2908879187 5817758374 8726637561 17453275122 26179912683 52359825366 78539738049 157079476098 1870409317241 3740818634482 5611227951723 11222455903446 16833683855169 33667367710338 50501051565507 101002103131014