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11629134231 = 3111353511463
BaseRepresentation
bin10101101010010011…
…01000000110010111
31010000110021020011020
422311021220012113
5142304024243411
65201540412223
7561116003301
oct126511500627
933013236136
1011629134231
114a28385740
1223066a7073
131134384120
147c467c971
15480e14606
hex2b5268197

11629134231 has 32 divisors (see below), whose sum is σ = 18560005632. Its totient is φ = 6383045760.

The previous prime is 11629134199. The next prime is 11629134263. The reversal of 11629134231 is 13243192611.

It is an interprime number because it is at equal distance from previous prime (11629134199) and next prime (11629134263).

It is not a de Polignac number, because 11629134231 - 25 = 11629134199 is a prime.

It is a super-2 number, since 2×116291342312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11629134192 and 11629134201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11629134271) 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, 232995 + ... + 278468.

It is an arithmetic number, because the mean of its divisors is an integer number (580000176).

Almost surely, 211629134231 is an apocalyptic number.

11629134231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11629134231 is a deficient number, since it is larger than the sum of its proper divisors (6930871401).

11629134231 is a wasteful number, since it uses less digits than its factorization.

11629134231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511543.

The product of its digits is 7776, while the sum is 33.

The spelling of 11629134231 in words is "eleven billion, six hundred twenty-nine million, one hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 3 11 13 33 39 53 143 159 429 583 689 1749 2067 7579 22737 511463 1534389 5626093 6649019 16878279 19947057 27107539 73139209 81322617 219417627 298182929 352398007 894548787 1057194021 3876378077 11629134231