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146993155331 = 11105114898539
BaseRepresentation
bin1000100011100101111…
…0011000110100000011
3112001102012112222102012
42020321132120310003
54402020221432311
6151305553243135
713422425130161
oct2107136306403
9461365488365
10146993155331
1157380893260
12245a38634ab
1310b2763c629
1471862c6231
153c54b3778b
hex2239798d03

146993155331 has 16 divisors (see below), whose sum is σ = 160635350400. Its totient is φ = 133397712000.

The previous prime is 146993155313. The next prime is 146993155357. The reversal of 146993155331 is 133551399641.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146993155331 is a prime.

It is a super-2 number, since 2×1469931553312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146993155331.

It is not an unprimeable number, because it can be changed into a prime (146993155391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17210060 + ... + 17218598.

It is an arithmetic number, because the mean of its divisors is an integer number (10039709400).

Almost surely, 2146993155331 is an apocalyptic number.

146993155331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146993155331 is a deficient number, since it is larger than the sum of its proper divisors (13642195069).

146993155331 is a wasteful number, since it uses less digits than its factorization.

146993155331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090.

The product of its digits is 1312200, while the sum is 50.

The spelling of 146993155331 in words is "one hundred forty-six billion, nine hundred ninety-three million, one hundred fifty-five thousand, three hundred thirty-one".

Divisors: 1 11 1051 1489 8539 11561 16379 93929 1564939 8974489 12714571 17214329 98719379 139860281 13363014121 146993155331