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31105204250540 = 22571971195994307
BaseRepresentation
bin1110001001010001111101…
…01001100110011110101100
311002010121222011110211211212
413010220332221212132230
513034111424242004130
6150053311125533552
76360163646460650
oct704507651463654
9132117864424755
1031105204250540
119a02708985552
1235a4491b742b8
13144829248acc4
147976ddac2a60
1538e1b75c9e95
hex1c4a3ea667ac

31105204250540 has 96 divisors (see below), whose sum is σ = 75038506583040. Its totient is φ = 10609506480384.

The previous prime is 31105204250521. The next prime is 31105204250543. The reversal of 31105204250540 is 4505240250113.

It is a junction number, because it is equal to n+sod(n) for n = 31105204250497 and 31105204250506.

It is not an unprimeable number, because it can be changed into a prime (31105204250543) 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, 329782067 + ... + 329876373.

It is an arithmetic number, because the mean of its divisors is an integer number (781651110240).

Almost surely, 231105204250540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31105204250540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37519253291520).

31105204250540 is an abundant number, since it is smaller than the sum of its proper divisors (43933302332500).

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

31105204250540 is a wasteful number, since it uses less digits than its factorization.

31105204250540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106479 (or 106477 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 31105204250540 in words is "thirty-one trillion, one hundred five billion, two hundred four million, two hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1970 2758 3940 5516 6895 11959 13790 23918 27580 47836 59795 83713 94307 119590 167426 188614 239180 334852 377228 418565 471535 660149 837130 943070 1320298 1674260 1886140 2355923 2640596 3300745 4711846 6601490 9423692 11779615 13202980 16491461 18578479 23559230 32982922 37156958 47118460 65965844 74313916 82457305 92892395 130049353 164914610 185784790 260098706 329829220 371569580 520197412 650246765 1127817413 1300493530 2255634826 2600987060 4511269652 5639087065 7894721891 11278174130 15789443782 22556348260 31578887564 39473609455 78947218910 157894437820 222180030361 444360060722 888720121444 1110900151805 1555260212527 2221800303610 3110520425054 4443600607220 6221040850108 7776301062635 15552602125270 31105204250540