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31005151322416 = 2437792412750857
BaseRepresentation
bin1110000110010111100110…
…00001111110000100110000
311001210001201022020110212021
413003023303001332010300
513030442022214304131
6145535323032241224
76350022360561025
oct703136301760460
9131701638213767
1031005151322416
1199742356897a7
12358900a540214
13143ba08a0945b
1479292ba0554c
1538b7ad8d7e11
hex1c32f307e130

31005151322416 has 80 divisors (see below), whose sum is σ = 62736287616640. Its totient is φ = 14830855004160.

The previous prime is 31005151322399. The next prime is 31005151322531. The reversal of 31005151322416 is 61422315150013.

31005151322416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×310051513224162 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9895660 + ... + 12646516.

It is an arithmetic number, because the mean of its divisors is an integer number (784203595208).

Almost surely, 231005151322416 is an apocalyptic number.

It is an amenable number.

31005151322416 is an abundant number, since it is smaller than the sum of its proper divisors (31731136294224).

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

31005151322416 is a wasteful number, since it uses less digits than its factorization.

31005151322416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751222 (or 2751216 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 31005151322416 its reverse (61422315150013), we get a palindrome (92427466472429).

The spelling of 31005151322416 in words is "thirty-one trillion, five billion, one hundred fifty-one million, three hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 37 74 79 148 158 241 296 316 482 592 632 964 1264 1928 2923 3856 5846 8917 11692 17834 19039 23384 35668 38078 46768 71336 76156 142672 152312 304624 704443 1408886 2750857 2817772 5501714 5635544 11003428 11271088 22006856 44013712 101781709 203563418 217317703 407126836 434635406 662956537 814253672 869270812 1325913074 1628507344 1738541624 2651826148 3477083248 5303652296 8040755011 10607304592 16081510022 24529391869 32163020044 49058783738 52373566423 64326040088 98117567476 104747132846 128652080176 196235134952 209494265692 392470269904 418988531384 837977062768 1937821957651 3875643915302 7751287830604 15502575661208 31005151322416