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31382513898 = 23233171277373
BaseRepresentation
bin11101001110100010…
…110010100011101010
310000000002201212220120
4131032202302203222
51003232410421043
622230020104110
72160454652421
oct351642624352
9100002655816
1031382513898
111234467a1aa
1260b9b35036
132c61930768
141739cc82b8
15c3a1b7983
hex74e8b28ea

31382513898 has 128 divisors (see below), whose sum is σ = 68990828544. Its totient is φ = 9486892800.

The previous prime is 31382513873. The next prime is 31382513909. The reversal of 31382513898 is 89831528313.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31382513898.

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, 84135240 + ... + 84135612.

It is an arithmetic number, because the mean of its divisors is an integer number (538990848).

Almost surely, 231382513898 is an apocalyptic number.

31382513898 is an abundant number, since it is smaller than the sum of its proper divisors (37608314646).

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

31382513898 is a wasteful number, since it uses less digits than its factorization.

31382513898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780.

The product of its digits is 1244160, while the sum is 51.

It can be divided in two parts, 313825 and 13898, that added together give a palindrome (327723).

The spelling of 31382513898 in words is "thirty-one billion, three hundred eighty-two million, five hundred thirteen thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 23 31 46 62 69 71 93 138 142 186 213 277 373 426 554 713 746 831 1119 1426 1633 1662 2139 2201 2238 3266 4278 4402 4899 6371 6603 8579 8587 9798 11563 12742 13206 17158 17174 19113 19667 23126 25737 25761 26483 34689 38226 39334 50623 51474 51522 52966 59001 69378 79449 101246 103321 118002 151869 158898 197501 206642 265949 303738 309963 395002 452341 531898 592503 609109 609677 619926 797847 820973 904682 1185006 1218218 1219354 1357023 1595694 1641946 1827327 1829031 2376383 2462919 2714046 3202951 3654654 3658062 4752766 4925838 6405902 7129149 7335791 9608853 14022571 14258298 14671582 18882379 19217706 22007373 28045142 37764758 42067713 44014746 56647137 73667873 84135426 113294274 147335746 168723193 221003619 227409521 337446386 442007238 454819042 506169579 682228563 1012339158 1364457126 5230418983 10460837966 15691256949 31382513898