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133011142012424 = 2313109179197332743
BaseRepresentation
bin11110001111100100010001…
…110111101110111000001000
3122102221202000011221102212202
4132033210101313232320020
5114413223304323344144
61150520250341255332
740005511044413024
oct3617442167567010
9572852004842782
10133011142012424
1139421788088835
1212b0254a404548
13592ab87572a40
1424bbab8b71384
151059dd207e64e
hex78f911deee08

133011142012424 has 128 divisors (see below), whose sum is σ = 273942811296000. Its totient is φ = 60179515812864.

The previous prime is 133011142012393. The next prime is 133011142012451. The reversal of 133011142012424 is 424210241110331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399574997 + ... + 399907739.

It is an arithmetic number, because the mean of its divisors is an integer number (2140178213250).

Almost surely, 2133011142012424 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 133011142012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136971405648000).

133011142012424 is an abundant number, since it is smaller than the sum of its proper divisors (140931669283576).

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

133011142012424 is a wasteful number, since it uses less digits than its factorization.

133011142012424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333247 (or 333243 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 133011142012424 its reverse (424210241110331), we get a palindrome (557221383122755).

The spelling of 133011142012424 in words is "one hundred thirty-three trillion, eleven billion, one hundred forty-two million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 109 179 197 218 358 394 436 716 788 872 1417 1432 1576 2327 2561 2834 4654 5122 5668 9308 10244 11336 18616 19511 20488 21473 35263 39022 42946 70526 78044 85892 141052 156088 171784 253643 279149 282104 332743 458419 507286 558298 665486 916838 1014572 1116596 1330972 1833676 2029144 2233192 2661944 3667352 3843667 4325659 7687334 8651318 15374668 17302636 30749336 34605272 36268987 49967671 59560997 65550371 72537974 99935342 119121994 131100742 145075948 199870684 238243988 262201484 290151896 399741368 471496831 476487976 524402968 774292961 852154823 942993662 1548585922 1704309646 1885987324 3097171844 3408619292 3771974648 6194343688 6492148673 6817238584 7144990439 11733516409 12984297346 14289980878 23467032818 25968594692 28579961756 46934065636 51937189384 57159923512 84397932749 92884875707 93868131272 152535713317 168795865498 185769751414 305071426634 337591730996 371539502828 610142853268 675183461992 743079005656 1220285706536 1278953288581 2557906577162 5115813154324 10231626308648 16626392751553 33252785503106 66505571006212 133011142012424