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122331142010 = 257111718015189
BaseRepresentation
bin111000111101110000…
…0010001011101111010
3102200202110121220011102
41301323200101131322
54001013233021020
6132110444531402
711560323356540
oct1617340213572
9380673556142
10122331142010
1147975816670
121b860550b62
13b6c714423c
145cc6b9dd90
1532ae979475
hex1c7b81177a

122331142010 has 128 divisors (see below), whose sum is σ = 290896427520. Its totient is φ = 35859456000.

The previous prime is 122331142009. The next prime is 122331142013. The reversal of 122331142010 is 10241133221.

122331142010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122331142013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23572496 + ... + 23577684.

It is an arithmetic number, because the mean of its divisors is an integer number (2272628340).

Almost surely, 2122331142010 is an apocalyptic number.

122331142010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122331142010 is an abundant number, since it is smaller than the sum of its proper divisors (168565285510).

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

122331142010 is a wasteful number, since it uses less digits than its factorization.

122331142010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122331142010 its reverse (10241133221), we get a palindrome (132572275231).

The spelling of 122331142010 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred forty-two thousand, ten".

Divisors: 1 2 5 7 10 11 14 17 22 34 35 55 70 77 85 110 119 154 170 187 238 374 385 595 770 935 1190 1309 1801 1870 2618 3602 5189 6545 9005 10378 12607 13090 18010 19811 25214 25945 30617 36323 39622 51890 57079 61234 63035 72646 88213 99055 114158 126070 138677 153085 176426 181615 198110 214319 277354 285395 306170 336787 363230 399553 428638 441065 570790 617491 673574 693385 799106 882130 970343 1071595 1234982 1386770 1683935 1940686 1997765 2143190 2357509 3087455 3367870 3995530 4715018 4851715 6174910 6792401 9345389 9703430 11787545 13584802 18690778 23575090 33962005 46726945 65417723 67924010 93453890 102799279 130835446 158871613 205598558 317743226 327088615 513996395 654177230 719594953 794358065 1027992790 1112101291 1439189906 1588716130 1747587743 2224202582 3495175486 3597974765 5560506455 7195949530 8737938715 11121012910 12233114201 17475877430 24466228402 61165571005 122331142010