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31324101024414 = 231147313297110859
BaseRepresentation
bin1110001111101001101011…
…11010100001101010011110
311002220112222110101002212010
413013310311322201222132
513101203224330240124
6150342032055252050
76412043265401112
oct707646572415236
9132815873332763
1031324101024414
119a87527457640
12361a9a207a026
131462b08744883
147a414774b742
15394c299e8529
hex1c7d35ea1a9e

31324101024414 has 128 divisors (see below), whose sum is σ = 70050623938560. Its totient is φ = 9256540550400.

The previous prime is 31324101024397. The next prime is 31324101024431. The reversal of 31324101024414 is 41442010142313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31324101024397) and next prime (31324101024431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2884615717 + ... + 2884626575.

It is an arithmetic number, because the mean of its divisors is an integer number (547270499520).

Almost surely, 231324101024414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31324101024414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35025311969280).

31324101024414 is an abundant number, since it is smaller than the sum of its proper divisors (38726522914146).

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

31324101024414 is a wasteful number, since it uses less digits than its factorization.

31324101024414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14206.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 31324101024414 its reverse (41442010142313), we get a palindrome (72766111166727).

The spelling of 31324101024414 in words is "thirty-one trillion, three hundred twenty-four billion, one hundred one million, twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 313 517 626 939 1034 1551 1878 2971 3102 3443 5942 6886 8913 10329 10859 14711 17826 20658 21718 29422 32577 32681 44133 65154 65362 88266 98043 119449 139637 161821 196086 238898 279274 323642 358347 418911 485463 510373 716694 837822 929923 970926 1020746 1531119 1536007 1859846 2789769 3062238 3072014 3398867 4608021 5579538 5614103 6797734 9216042 10196601 10229153 11228206 16842309 20393202 20458306 30687459 32262089 33684618 37387537 43706381 61374918 64524178 74775074 87412762 96786267 112162611 131119143 159746749 193572534 224325222 262238286 319493498 354882979 479240247 480770191 709765958 958480494 961540382 1064648937 1442310573 1516318183 1757214239 2129297874 2884621146 3032636366 3514428478 4548954549 5271642717 9097909098 10098033857 10543285434 16679500013 20196067714 30294101571 33359000026 50038500039 60588203142 100077000078 111078372427 222156744854 333235117281 474607591279 666470234562 949215182558 1423822773837 2847645547674 5220683504069 10441367008138 15662050512207 31324101024414