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106269797231 = 13177364710181
BaseRepresentation
bin110001011111000101…
…1000110101101101111
3101011022010101001010222
41202332023012231233
53220120032002411
6120453014321555
710451315241503
oct1427613065557
9334263331128
10106269797231
1141083591604
12187196592bb
13a03775cc30
145201a20303
152b6e8b74db
hex18be2c6b6f

106269797231 has 32 divisors (see below), whose sum is σ = 123038310528. Its totient is φ = 90910494720.

The previous prime is 106269797191. The next prime is 106269797261. The reversal of 106269797231 is 132797962601.

It is not a de Polignac number, because 106269797231 - 26 = 106269797167 is a prime.

It is a super-2 number, since 2×1062697972312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106269797261) 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, 10432961 + ... + 10443141.

It is an arithmetic number, because the mean of its divisors is an integer number (3844947204).

Almost surely, 2106269797231 is an apocalyptic number.

106269797231 is a deficient number, since it is larger than the sum of its proper divisors (16768513297).

106269797231 is a wasteful number, since it uses less digits than its factorization.

106269797231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10931.

The product of its (nonzero) digits is 1714608, while the sum is 53.

The spelling of 106269797231 in words is "one hundred six billion, two hundred sixty-nine million, seven hundred ninety-seven thousand, two hundred thirty-one".

Divisors: 1 13 17 73 221 647 949 1241 8411 10181 10999 16133 47231 132353 142987 173077 614003 743213 802927 2250001 6587107 9661769 10438051 12634621 85632391 111980819 164250073 480858811 1455750647 6251164543 8174599787 106269797231