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131155403650206 = 23137922203122299
BaseRepresentation
bin11101110100100011111111…
…001111101011010010011110
3122012101100000120211002200020
4131310203333033223102132
5114142322231313301311
61142535543300013010
736424444111533135
oct3564437717532236
9565340016732606
10131155403650206
1138876770167691
1212862967391166
135824b9477a920
142455d538cc91c
1510269bdecac06
hex7748ff3eb49e

131155403650206 has 96 divisors (see below), whose sum is σ = 286241842857600. Its totient is φ = 39826267386048.

The previous prime is 131155403650177. The next prime is 131155403650213. The reversal of 131155403650206 is 602056304551131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1072354845 + ... + 1072477143.

It is an arithmetic number, because the mean of its divisors is an integer number (2981685863100).

Almost surely, 2131155403650206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131155403650206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143120921428800).

131155403650206 is an abundant number, since it is smaller than the sum of its proper divisors (155086439207394).

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

131155403650206 is a wasteful number, since it uses less digits than its factorization.

131155403650206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124678 (or 124599 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 131155403650206 in words is "one hundred thirty-one trillion, one hundred fifty-five billion, four hundred three million, six hundred fifty thousand, two hundred six".

Divisors: 1 2 3 6 13 26 39 78 79 158 237 474 1027 2054 2203 3081 4406 6162 6241 6609 12482 13218 18723 28639 37446 57278 81133 85917 122299 162266 171834 174037 243399 244598 348074 366897 486798 522111 733794 1044222 1589887 2262481 3179774 4524962 4769661 6787443 9539322 9661621 13574886 13748923 19323242 27497846 28984863 41246769 57969726 82493538 125601073 178735999 251202146 269424697 357471998 376803219 536207997 538849394 753606438 763268059 808274091 1072415994 1526536118 1616548182 2289804177 3502521061 4579608354 7005042122 9922484767 10507563183 19844969534 21015126366 21284551063 29767454301 42569102126 59534908602 63853653189 127707306378 276699163819 553398327638 830097491457 1660194982914 1681479533977 3362959067954 5044438601931 10088877203862 21859233941701 43718467883402 65577701825103 131155403650206