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106532126531 = 37109137192811
BaseRepresentation
bin110001100110111001…
…1110011111101000011
3101011222101222202021222
41203031303303331003
53221134211022111
6120535025105255
710460652064115
oct1431563637503
9334871882258
10106532126531
11411a8676486
121879148822b
13a079bcb47c
1452287c93b5
152b879347db
hex18cdcf3f43

106532126531 has 16 divisors (see below), whose sum is σ = 111221674080. Its totient is φ = 101951758080.

The previous prime is 106532126471. The next prime is 106532126567. The reversal of 106532126531 is 135621235601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106532126531 is a prime.

It is a super-2 number, since 2×1065321265312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106532126491 and 106532126500.

It is not an unprimeable number, because it can be changed into a prime (106532126581) 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, 456116 + ... + 648926.

It is an arithmetic number, because the mean of its divisors is an integer number (6951354630).

Almost surely, 2106532126531 is an apocalyptic number.

106532126531 is a deficient number, since it is larger than the sum of its proper divisors (4689547549).

106532126531 is a wasteful number, since it uses less digits than its factorization.

106532126531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193094.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 106532126531 in words is "one hundred six billion, five hundred thirty-two million, one hundred twenty-six thousand, five hundred thirty-one".

Divisors: 1 37 109 137 4033 5069 14933 192811 552521 7134007 21016399 26415107 777606763 977358959 2879246663 106532126531