Search a number
-
+
10141331004 = 2233753253103
BaseRepresentation
bin10010111000111100…
…00110111000111100
3222011202200222211000
421130132012320330
5131232140043004
64354151530300
7506211614460
oct113436067074
928152628730
1010141331004
1143345760a2
121b70389990
13c5807259c
146c2c324a0
153e54c8c39
hex25c786e3c

10141331004 has 96 divisors (see below), whose sum is σ = 30615459840. Its totient is φ = 2842841664.

The previous prime is 10141330973. The next prime is 10141331021. The reversal of 10141331004 is 40013314101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 86484 + ... + 166619.

It is an arithmetic number, because the mean of its divisors is an integer number (318911040).

Almost surely, 210141331004 is an apocalyptic number.

10141331004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10141331004 is an abundant number, since it is smaller than the sum of its proper divisors (20474128836).

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

10141331004 is a wasteful number, since it uses less digits than its factorization.

10141331004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253176 (or 253168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10141331004 its reverse (40013314101), we get a palindrome (50154645105).

The spelling of 10141331004 in words is "ten billion, one hundred forty-one million, three hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 10017 13356 20034 40068 253103 506206 759309 1012412 1518618 1771721 2277927 3037236 3543442 4555854 5315163 6833781 7086884 9111708 10630326 13414459 13667562 15945489 21260652 26828918 27335124 31890978 40243377 47836467 53657836 63781956 80486754 93901213 95672934 120730131 160973508 187802426 191345868 241460262 281703639 362190393 375604852 482920524 563407278 724380786 845110917 1126814556 1448761572 1690221834 2535332751 3380443668 5070665502 10141331004