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1126106511153 = 3133673253871
BaseRepresentation
bin10000011000110001001…
…011011011011100110001
310222122200022001221111020
4100120301023123130301
5121422231231324103
62221154242410053
7144233653260651
oct20306113333461
93878608057436
101126106511153
113a464084a248
121622b6960929
1382264632000
143c70a7a6361
151e45c893753
hex106312db731

1126106511153 has 32 divisors (see below), whose sum is σ = 1628964610560. Its totient is φ = 691956195840.

The previous prime is 1126106511151. The next prime is 1126106511169. The reversal of 1126106511153 is 3511156016211.

It is not a de Polignac number, because 1126106511153 - 21 = 1126106511151 is a prime.

It is a super-2 number, since 2×11261065111532 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1126106511151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4308808 + ... + 4562678.

It is an arithmetic number, because the mean of its divisors is an integer number (50905144080).

Almost surely, 21126106511153 is an apocalyptic number.

1126106511153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1126106511153 is a deficient number, since it is larger than the sum of its proper divisors (502858099407).

1126106511153 is an equidigital number, since it uses as much as digits as its factorization.

1126106511153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254586 (or 254560 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 1126106511153 in words is "one trillion, one hundred twenty-six billion, one hundred six million, five hundred eleven thousand, one hundred fifty-three".

Divisors: 1 3 13 39 169 507 673 2019 2197 6591 8749 26247 113737 253871 341211 761613 1478581 3300323 4435743 9900969 42904199 128712597 170855183 512565549 557754587 1673263761 2221117379 6663352137 28874525927 86623577781 375368837051 1126106511153