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106362136409 = 4183157227877
BaseRepresentation
bin110001100001110101…
…1010110011101011001
3101011112120010100200112
41203003223112131121
53220312201331114
6120510113414105
710453516146104
oct1430353263531
9334476110615
10106362136409
1141120720381
121874456a335
13a0509207b9
14520ddb973b
152b77a5713e
hex18c3ad6759

106362136409 has 32 divisors (see below), whose sum is σ = 111587366016. Its totient is φ = 101300359680.

The previous prime is 106362136393. The next prime is 106362136411. The reversal of 106362136409 is 904631263601.

It is not a de Polignac number, because 106362136409 - 24 = 106362136393 is a prime.

It is a super-2 number, since 2×1063621364092 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105362136409) 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, 121279079 + ... + 121279955.

It is an arithmetic number, because the mean of its divisors is an integer number (3487105188).

Almost surely, 2106362136409 is an apocalyptic number.

It is an amenable number.

106362136409 is a deficient number, since it is larger than the sum of its proper divisors (5225229607).

106362136409 is a wasteful number, since it uses less digits than its factorization.

106362136409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385.

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 106362136409 in words is "one hundred six billion, three hundred sixty-two million, one hundred thirty-six thousand, four hundred nine".

Divisors: 1 41 83 157 227 877 3403 6437 9307 13031 18841 35639 35957 72791 137689 199079 534271 772481 1461199 2958037 2984431 5645249 8162239 11428187 16523557 31255403 121279517 468555667 677465837 1281471523 2594198449 106362136409