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101431113342 = 231329307146063
BaseRepresentation
bin101111001110111000…
…0111111011001111110
3100200210220112102200120
41132131300333121332
53130212331111332
6114332524435410
710220362144416
oct1363560773176
9320726472616
10101431113342
113a0202457a9
12177a90a8b66
139746162b80
144ca3151646
152989bc832c
hex179dc3f67e

101431113342 has 64 divisors (see below), whose sum is σ = 226738068480. Its totient is φ = 30035021184.

The previous prime is 101431113341. The next prime is 101431113419. The reversal of 101431113342 is 243311134101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431113341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621403 + ... + 767465.

It is an arithmetic number, because the mean of its divisors is an integer number (3542782320).

Almost surely, 2101431113342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101431113342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113369034240).

101431113342 is an abundant number, since it is smaller than the sum of its proper divisors (125306955138).

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

101431113342 is a wasteful number, since it uses less digits than its factorization.

101431113342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146417.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101431113342 its reverse (243311134101), we get a palindrome (344742247443).

The spelling of 101431113342 in words is "one hundred one billion, four hundred thirty-one million, one hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 307 377 614 754 921 1131 1842 2262 3991 7982 8903 11973 17806 23946 26709 53418 115739 146063 231478 292126 347217 438189 694434 876378 1898819 3797638 4235827 5696457 8471654 11392914 12707481 25414962 44841341 55065751 89682682 110131502 134524023 165197253 269048046 330394506 582937433 1165874866 1300398889 1748812299 2600797778 3497624598 3901196667 7802393334 16905185557 33810371114 50715556671 101431113342