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100546450134 = 23134357152501
BaseRepresentation
bin101110110100100001…
…0010001001011010110
3100121112020212212220120
41131221002101023112
53121404342401014
6114105043212410
710156430503404
oct1355102211326
9317466785816
10100546450134
1139706939189
12175a0977106
139634aa9210
144c1b868474
1529371caba9
hex17690912d6

100546450134 has 64 divisors (see below), whose sum is σ = 221990216448. Its totient is φ = 30164400000.

The previous prime is 100546450129. The next prime is 100546450153. The reversal of 100546450134 is 431054645001.

It is a junction number, because it is equal to n+sod(n) for n = 100546450095 and 100546450104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1888884 + ... + 1941384.

It is an arithmetic number, because the mean of its divisors is an integer number (3468597132).

Almost surely, 2100546450134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100546450134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110995108224).

100546450134 is an abundant number, since it is smaller than the sum of its proper divisors (121443766314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100546450134 is a wasteful number, since it uses less digits than its factorization.

100546450134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53133.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 100546450134 in words is "one hundred billion, five hundred forty-six million, four hundred fifty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 571 1118 1142 1677 1713 3354 3426 7423 14846 22269 24553 44538 49106 52501 73659 105002 147318 157503 315006 319189 638378 682513 957567 1365026 1915134 2047539 2257543 4095078 4515086 6772629 13545258 29348059 29978071 58696118 59956142 88044177 89934213 176088354 179868426 389714923 779429846 1169144769 1289057053 2338289538 2578114106 3867171159 7734342318 16757741689 33515483378 50273225067 100546450134