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101041260021 = 321347103178393
BaseRepresentation
bin101111000011010000…
…1110100010111110101
3100122210201221211110200
41132012201310113311
53123413030310041
6114230120511113
710204616353002
oct1360641642765
9318721854420
10101041260021
1139940180179
12176ba61b499
1396b3464b30
144c6746c8a9
15296586b1b6
hex17868745f5

101041260021 has 48 divisors (see below), whose sum is σ = 162078798336. Its totient is φ = 60265099008.

The previous prime is 101041259941. The next prime is 101041260029. The reversal of 101041260021 is 120062140101.

101041260021 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 41 + 2 + 600 + 21 = 666.

It is not a de Polignac number, because 101041260021 - 211 = 101041257973 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101041259976 and 101041260003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041260029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477201 + ... + 655593.

It is an arithmetic number, because the mean of its divisors is an integer number (3376641632).

Almost surely, 2101041260021 is an apocalyptic number.

It is an amenable number.

101041260021 is a deficient number, since it is larger than the sum of its proper divisors (61037538315).

101041260021 is a wasteful number, since it uses less digits than its factorization.

101041260021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178562 (or 178559 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 101041260021 in words is "one hundred one billion, forty-one million, two hundred sixty thousand, twenty-one".

Divisors: 1 3 9 13 39 47 103 117 141 309 423 611 927 1339 1833 4017 4841 5499 12051 14523 43569 62933 178393 188799 535179 566397 1605537 2319109 6957327 8384471 18374479 20871981 25153413 55123437 75460239 108998123 165370311 238868227 326994369 716604681 863600513 980983107 2149814043 2590801539 7772404617 11226806669 33680420007 101041260021