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31001003302212 = 223219197361763607
BaseRepresentation
bin1110000110001111110111…
…10010100001110101000100
311001202200000020000012212100
413003013323302201311010
513030410023321132322
6145533355253552100
76346514522151456
oct703077362416504
9131680006005770
1031001003302212
1199724a7195829
123588251345630
13143b4c7530028
14792656b602d6
1538b619674dac
hex1c31fbca1d44

31001003302212 has 144 divisors (see below), whose sum is σ = 82930995987840. Its totient is φ = 9737250195456.

The previous prime is 31001003302187. The next prime is 31001003302279. The reversal of 31001003302212 is 21220330010013.

31001003302212 is a `hidden beast` number, since 3 + 10 + 0 + 100 + 330 + 221 + 2 = 666.

It is a super-2 number, since 2×310010033022122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 487351713 + ... + 487415319.

It is an arithmetic number, because the mean of its divisors is an integer number (575909694360).

Almost surely, 231001003302212 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 31001003302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41465497993920).

31001003302212 is an abundant number, since it is smaller than the sum of its proper divisors (51929992685628).

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

31001003302212 is a wasteful number, since it uses less digits than its factorization.

31001003302212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67450 (or 67445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31001003302212 its reverse (21220330010013), we get a palindrome (52221333312225).

The spelling of 31001003302212 in words is "thirty-one trillion, one billion, three million, three hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 197 228 342 394 591 684 788 1182 1773 2364 3546 3617 3743 7092 7234 7486 10851 11229 14468 14972 21702 22458 32553 33687 43404 44916 63607 65106 67374 68723 127214 130212 134748 137446 190821 206169 254428 274892 381642 412338 572463 618507 712549 763284 824676 1144926 1208533 1237014 1425098 2137647 2289852 2417066 2474028 2850196 3625599 4275294 4834132 6412941 7251198 8550588 10876797 12530579 12825882 13538431 14502396 21753594 25061158 25651764 27076862 37591737 40615293 43507188 50122316 54153724 75183474 81230586 112775211 121845879 150366948 162461172 225550422 230066519 238081001 243691758 451100844 460133038 476162002 487383516 690199557 714243003 920266076 952324004 1380399114 1428486006 2070598671 2142729009 2760798228 2856972012 4141197342 4285458018 4371263861 8282394684 8570916036 8742527722 13113791583 17485055444 26227583166 39341374749 45323104243 52455166332 78682749498 90646208486 135969312729 157365498996 181292416972 271938625458 407907938187 543877250916 815815876374 861138980617 1631631752748 1722277961234 2583416941851 3444555922468 5166833883702 7750250825553 10333667767404 15500501651106 31001003302212