Search a number
-
+
101387366682 = 2371724124969
BaseRepresentation
bin101111001101100101…
…0000111000100011010
3100200200212012212112220
41132123022013010122
53130120131213212
6114324323044510
710216321253220
oct1363312070432
9320625185486
10101387366682
1139aa8586238
1217796510736
13973a086b84
144c9b404b10
152985e3638c
hex179b28711a

101387366682 has 144 divisors (see below), whose sum is σ = 252377872320. Its totient is φ = 26593505280.

The previous prime is 101387366677. The next prime is 101387366683. The reversal of 101387366682 is 286663783101.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (101387366683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20401494 + ... + 20406462.

Almost surely, 2101387366682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101387366682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126188936160).

101387366682 is an abundant number, since it is smaller than the sum of its proper divisors (150990505638).

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

101387366682 is a wasteful number, since it uses less digits than its factorization.

101387366682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 101387366682 in words is "one hundred one billion, three hundred eighty-seven million, three hundred sixty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 34 41 42 51 82 102 119 123 238 246 287 289 357 574 578 697 714 861 867 1394 1681 1722 1734 2023 2091 3362 4046 4182 4879 4969 5043 6069 9758 9938 10086 11767 11849 12138 14637 14907 23534 23698 28577 29274 29814 34783 35301 35547 57154 69566 70602 71094 82943 84473 85731 104349 165886 168946 171462 200039 203729 208698 248829 253419 400078 407458 485809 497658 506838 591311 600117 611187 971618 1182622 1200234 1222374 1426103 1436041 1457427 1773933 2852206 2872082 2914854 3400663 3463393 3547866 4278309 4308123 6801326 6926786 8352889 8556618 8616246 10052287 10201989 10390179 16705778 20104574 20403978 20780358 24243751 25058667 30156861 48487502 50117334 58470223 58877681 60313722 72731253 116940446 117755362 141999113 145462506 175410669 176633043 283998226 350821338 353266086 412143767 425997339 824287534 851994678 993993791 1236431301 1987987582 2413984921 2472862602 2981981373 4827969842 5963962746 7241954763 14483909526 16897894447 33795788894 50693683341 101387366682