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100033332213 = 35913139710867
BaseRepresentation
bin101110100101001110…
…0111000001111110101
3100120012111100210110010
41131022130320033311
53114332013112323
6113542113250433
710140630202653
oct1351234701765
9316174323403
10100033332213
1139473232091
1217478b63a19
1395826b0349
144bad659dd3
152907120c93
hex174a7383f5

100033332213 has 32 divisors (see below), whose sum is σ = 137030699520. Its totient is φ = 64888274880.

The previous prime is 100033332181. The next prime is 100033332227. The reversal of 100033332213 is 312233330001.

It is not a de Polignac number, because 100033332213 - 25 = 100033332181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100033332213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033332263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9199806 + ... + 9210672.

It is an arithmetic number, because the mean of its divisors is an integer number (4282209360).

Almost surely, 2100033332213 is an apocalyptic number.

It is an amenable number.

100033332213 is a deficient number, since it is larger than the sum of its proper divisors (36997367307).

100033332213 is a wasteful number, since it uses less digits than its factorization.

100033332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11457.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100033332213 its reverse (312233330001), we get a palindrome (412266662214).

The spelling of 100033332213 in words is "one hundred billion, thirty-three million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 59 131 177 393 397 1191 7729 10867 23187 23423 32601 52007 70269 156021 641153 1423577 1923459 3068413 4270731 4314199 9205239 12942597 83991043 251973129 254537741 565160069 763613223 1695480207 33344444071 100033332213