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11208348151 = 7211135330181
BaseRepresentation
bin10100111000001000…
…11101000111110111
31001221010111002011121
422130010131013313
5140423314120101
65052105444411
7544516246600
oct123404350767
931833432147
1011208348151
114831902950
1222097a0707
131098145690
14784826da7
15458ee70a1
hex29c11d1f7

11208348151 has 48 divisors (see below), whose sum is σ = 15607232928. Its totient is φ = 7909574400.

The previous prime is 11208348143. The next prime is 11208348161. The reversal of 11208348151 is 15184380211.

It is not a de Polignac number, because 11208348151 - 23 = 11208348143 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11208348101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356281 + ... + 386461.

It is an arithmetic number, because the mean of its divisors is an integer number (325150686).

Almost surely, 211208348151 is an apocalyptic number.

11208348151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11208348151 is a deficient number, since it is larger than the sum of its proper divisors (4398884777).

11208348151 is a wasteful number, since it uses less digits than its factorization.

11208348151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30272 (or 30265 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 11208348151 in words is "eleven billion, two hundred eight million, three hundred forty-eight thousand, one hundred fifty-one".

Divisors: 1 7 11 13 49 53 77 91 143 371 539 583 637 689 1001 2597 4081 4823 7007 7579 28567 30181 33761 53053 211267 331991 371371 392353 1478869 1599593 2323937 2746471 4315883 11197151 16267559 17595523 19225297 20794709 30211181 78380057 123168661 145562963 211478267 228741799 862180627 1018940741 1601192593 11208348151