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10231334442 = 23277110131129
BaseRepresentation
bin10011000011101010…
…11100011000101010
3222102001001122022200
421201311130120222
5131423210200232
64411125001030
7511353623250
oct114165343052
928361048280
1010231334442
114380359aaa
121b96553176
13c708c5c64
146d0b805d0
153ed35677c
hex261d5c62a

10231334442 has 96 divisors (see below), whose sum is σ = 25739700480. Its totient is φ = 2876670720.

The previous prime is 10231334429. The next prime is 10231334489. The reversal of 10231334442 is 24443313201.

10231334442 is a `hidden beast` number, since 1 + 0 + 2 + 313 + 344 + 4 + 2 = 666.

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, 9061734 + ... + 9062862.

It is an arithmetic number, because the mean of its divisors is an integer number (268121880).

Almost surely, 210231334442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231334442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869850240).

10231334442 is an abundant number, since it is smaller than the sum of its proper divisors (15508366038).

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

10231334442 is a wasteful number, since it uses less digits than its factorization.

10231334442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10231334442 its reverse (24443313201), we get a palindrome (34674647643).

The spelling of 10231334442 in words is "ten billion, two hundred thirty-one million, three hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1013 1129 1278 1491 2026 2258 2982 3039 3387 4473 6078 6774 7091 7903 8946 9117 10161 14182 15806 18234 20322 21273 23709 42546 47418 63819 71127 71923 80159 127638 142254 143846 160318 215769 240477 431538 480954 503461 561113 647307 721431 1006922 1122226 1143677 1294614 1442862 1510383 1683339 2287354 3020766 3366678 3431031 4531149 5050017 6862062 8005739 9062298 10100034 10293093 16011478 20586186 24017217 48034434 72051651 81201067 144103302 162402134 243603201 487206402 568407469 730809603 1136814938 1461619206 1705222407 3410444814 5115667221 10231334442