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1231130141442 = 2332329277123397
BaseRepresentation
bin10001111010100101000…
…100110010001100000010
311100200202120120010222000
4101322211010302030002
5130132323304011232
62341323503324430
7154642360352625
oct21724504621402
94320676503860
101231130141442
11435134962113
1217a726bb0716
138c130b54c46
1443830ab9dbc
1522057b5127c
hex11ea5132302

1231130141442 has 128 divisors (see below), whose sum is σ = 2963921241600. Its totient is φ = 377627298048.

The previous prime is 1231130141407. The next prime is 1231130141447. The reversal of 1231130141442 is 2441410311321.

It is a happy number.

1231130141442 is a `hidden beast` number, since 1 + 2 + 311 + 301 + 4 + 1 + 4 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1231130141447) 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, 9915288 + ... + 10038684.

It is an arithmetic number, because the mean of its divisors is an integer number (23155634700).

Almost surely, 21231130141442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231130141442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481960620800).

1231130141442 is an abundant number, since it is smaller than the sum of its proper divisors (1732791100158).

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

1231130141442 is a wasteful number, since it uses less digits than its factorization.

1231130141442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123737 (or 123731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1231130141442 its reverse (2441410311321), we get a palindrome (3672540452763).

The spelling of 1231130141442 in words is "one trillion, two hundred thirty-one billion, one hundred thirty million, one hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 207 261 277 414 522 554 621 667 783 831 1242 1334 1566 1662 2001 2493 4002 4986 6003 6371 7479 8033 12006 12742 14958 16066 18009 19113 24099 36018 38226 48198 57339 72297 114678 123397 144594 172017 184759 216891 246794 344034 369518 370191 433782 554277 740382 1108554 1110573 1662831 2221146 2838131 3325662 3331719 3578513 4988493 5676262 6663438 7157026 8514393 9976986 10735539 17028786 21471078 25543179 32206617 34180969 51086358 64413234 68361938 76629537 82305799 96619851 102542907 153259074 164611598 193239702 205085814 246917397 307628721 493834794 615257442 740752191 786162287 922886163 991248101 1481504382 1572324574 1845772326 1982496202 2222256573 2358486861 2973744303 4444513146 4716973722 5947488606 7075460583 8921232909 14150921166 17842465818 21226381749 22798706323 26763698727 42452763498 45597412646 53527397454 68396118969 136792237938 205188356907 410376713814 615565070721 1231130141442