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31411232033104 = 24721129125596699
BaseRepresentation
bin1110010010001011111110…
…10100111100100101010000
311010012212212202201221210001
413021011333110330211100
513104120200400024404
6150450042031215344
76421246416633400
oct711057724744520
9133185782657701
1031411232033104
11a010479659030
12363385a077554
13146b0b3062251
147a84515c6800
1539712905d7a4
hex1c917f53c950

31411232033104 has 120 divisors (see below), whose sum is σ = 79894572804000. Its totient is φ = 11816137347840.

The previous prime is 31411232033089. The next prime is 31411232033119. The reversal of 31411232033104 is 40133023211413.

It is an interprime number because it is at equal distance from previous prime (31411232033089) and next prime (31411232033119).

It is a super-3 number, since 3×314112320331043 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62548254 + ... + 63048445.

It is an arithmetic number, because the mean of its divisors is an integer number (665788106700).

Almost surely, 231411232033104 is an apocalyptic number.

It is an amenable number.

31411232033104 is an abundant number, since it is smaller than the sum of its proper divisors (48483340770896).

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

31411232033104 is a wasteful number, since it uses less digits than its factorization.

31411232033104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125596761 (or 125596748 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 31411232033104 its reverse (40133023211413), we get a palindrome (71544255244517).

The spelling of 31411232033104 in words is "thirty-one trillion, four hundred eleven billion, two hundred thirty-two million, thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 49 56 58 77 88 98 112 116 154 176 196 203 232 308 319 392 406 464 539 616 638 784 812 1078 1232 1276 1421 1624 2156 2233 2552 2842 3248 4312 4466 5104 5684 8624 8932 11368 15631 17864 22736 31262 35728 62524 125048 250096 125596699 251193398 502386796 879176893 1004773592 1381563689 1758353786 2009547184 2763127378 3516707572 3642304271 5526254756 6154238251 7033415144 7284608542 9670945823 11052509512 12308476502 14066830288 14569217084 19341891646 22105019024 24616953004 25496129897 29138434168 38683783292 40065346981 49233906008 50992259794 58276868336 67696620761 77367566584 80130693962 98467812016 101984519588 135393241522 154735133168 160261387924 178472909279 203969039176 270786483044 280457428867 320522775848 356945818558 407938078352 541572966088 560914857734 641045551696 713891637116 1083145932176 1121829715468 1427783274232 1963202002069 2243659430936 2855566548464 3926404004138 4487318861872 7852808008276 15705616016552 31411232033104