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100133203331 = 7617178313003
BaseRepresentation
bin101110101000001100…
…1110110110110000011
3100120110110021202212102
41131100121312312003
53120033100001311
6114000042021015
710143252120260
oct1352031666603
9316413252772
10100133203331
11395146457a7
12174a64a776b
13959a2aa295
144bbca16267
152910c9c43b
hex1750676d83

100133203331 has 16 divisors (see below), whose sum is σ = 114696528384. Its totient is φ = 85634708544.

The previous prime is 100133203243. The next prime is 100133203333. The reversal of 100133203331 is 133302331001.

It is a de Polignac number, because none of the positive numbers 2k-100133203331 is a prime.

It is a super-2 number, since 2×1001332033312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133203333) 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 15 ways as a sum of consecutive naturals, for example, 7694276 + ... + 7707278.

It is an arithmetic number, because the mean of its divisors is an integer number (7168533024).

Almost surely, 2100133203331 is an apocalyptic number.

100133203331 is a deficient number, since it is larger than the sum of its proper divisors (14563325053).

100133203331 is a wasteful number, since it uses less digits than its factorization.

100133203331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100133203331 its reverse (133302331001), we get a palindrome (233435534332).

The spelling of 100133203331 in words is "one hundred billion, one hundred thirty-three million, two hundred three thousand, three hundred thirty-one".

Divisors: 1 7 617 1783 4319 12481 13003 91021 1100111 7700777 8022851 23184349 56159957 162290443 14304743333 100133203331