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100331211033 = 3316932194903
BaseRepresentation
bin101110101110000110…
…1001100100100011001
3100120222020212121101000
41131130031030210121
53120434242223113
6114031434015213
710151205136224
oct1353415144431
9316866777330
10100331211033
1139606397929
1217540877509
1395cc3177c1
144bdb03a5bb
152923361373
hex175c34c919

100331211033 has 16 divisors (see below), whose sum is σ = 148726695040. Its totient is φ = 66847935312.

The previous prime is 100331210989. The next prime is 100331211047. The reversal of 100331211033 is 330112133001.

It is a happy number.

It is not a de Polignac number, because 100331211033 - 228 = 100062775577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100331210997 and 100331211015.

It is not an unprimeable number, because it can be changed into a prime (100331211073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051741 + ... + 1143162.

It is an arithmetic number, because the mean of its divisors is an integer number (9295418440).

Almost surely, 2100331211033 is an apocalyptic number.

It is an amenable number.

100331211033 is a deficient number, since it is larger than the sum of its proper divisors (48395484007).

100331211033 is a wasteful number, since it uses less digits than its factorization.

100331211033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196605 (or 2196599 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100331211033 its reverse (330112133001), we get a palindrome (430443344034).

It can be divided in two parts, 100331 and 211033, that added together give a square (311364 = 5582).

The spelling of 100331211033 in words is "one hundred billion, three hundred thirty-one million, two hundred eleven thousand, thirty-three".

Divisors: 1 3 9 27 1693 5079 15237 45711 2194903 6584709 19754127 59262381 3715970779 11147912337 33443737011 100331211033