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101433204410034 = 23742531243345673
BaseRepresentation
bin10111000100000011000010…
…000111100000011010110010
3111022010220211102021010022210
4113010003002013200122302
5101243340200312110114
6555421434255112550
730236210235466410
oct2704030207403262
9438126742233283
10101433204410034
112a357642593152
12b462526b12756
13447a157c68b03
141b0957127c2b0
15bad79ca28259
hex5c40c21e06b2

101433204410034 has 64 divisors (see below), whose sum is σ = 231925568166144. Its totient is φ = 28971136567296.

The previous prime is 101433204410011. The next prime is 101433204410053. The reversal of 101433204410034 is 430014402334101.

101433204410034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101433204409983 and 101433204410010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220834222 + ... + 2220879894.

It is an arithmetic number, because the mean of its divisors is an integer number (3623837002596).

Almost surely, 2101433204410034 is an apocalyptic number.

101433204410034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101433204410034 is an abundant number, since it is smaller than the sum of its proper divisors (130492363756110).

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

101433204410034 is a wasteful number, since it uses less digits than its factorization.

101433204410034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62371.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 101433204410034 its reverse (430014402334101), we get a palindrome (531447606744135).

The spelling of 101433204410034 in words is "one hundred one trillion, four hundred thirty-three billion, two hundred four million, four hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 4253 8506 12433 12759 24866 25518 29771 37299 45673 59542 74598 87031 89313 91346 137019 174062 178626 261093 274038 319711 522186 639422 959133 1918266 52877549 105755098 158632647 194247269 317265294 370142843 388494538 567852409 582741807 740285686 1110428529 1135704818 1165483614 1359730883 1703557227 2220857058 2719461766 3407114454 3974966863 4079192649 7949933726 8158385298 11924900589 23849801178 2415076295477 4830152590954 7245228886431 14490457772862 16905534068339 33811068136678 50716602205017 101433204410034