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133010123421042 = 23374334491809917
BaseRepresentation
bin11110001111100011010101…
…001010000111010101110010
3122102221122101012021122012000
4132033203111022013111302
5114413214213043433132
61150520001313314430
740005443565500610
oct3617432512072562
9572848335248160
10133010123421042
1139421305116a7a
1212b02305265a16
13592aa5452664a
1424bba1d7846b0
151059d7292987c
hex78f8d5287572

133010123421042 has 128 divisors (see below), whose sum is σ = 339337905984000. Its totient is φ = 37830661521408.

The previous prime is 133010123421031. The next prime is 133010123421059. The reversal of 133010123421042 is 240124321010331.

133010123421042 is a `hidden beast` number, since 1 + 3 + 301 + 0 + 1 + 2 + 342 + 10 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133010123420997 and 133010123421015.

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, 72584668 + ... + 74394584.

It is an arithmetic number, because the mean of its divisors is an integer number (2651077390500).

Almost surely, 2133010123421042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133010123421042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169668952992000).

133010123421042 is an abundant number, since it is smaller than the sum of its proper divisors (206327782562958).

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

133010123421042 is a wasteful number, since it uses less digits than its factorization.

133010123421042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810817 (or 1810811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133010123421042 its reverse (240124321010331), we get a palindrome (373134444431373).

The spelling of 133010123421042 in words is "one hundred thirty-three trillion, ten billion, one hundred twenty-three million, four hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 433 449 866 898 1299 1347 2598 2694 3031 3143 3897 4041 6062 6286 7794 8082 9093 9429 11691 12123 18186 18858 23382 24246 27279 28287 54558 56574 81837 84861 163674 169722 194417 388834 583251 1166502 1360919 1749753 1809917 2721838 3499506 3619834 4082757 5249259 5429751 8165514 10498518 10859502 12248271 12669419 16289253 24496542 25338838 32578506 36744813 38008257 48867759 73489626 76016514 97735518 114024771 228049542 342074313 684148626 783694061 812652733 1567388122 1625305466 2351082183 2437958199 4702164366 4875916398 5485858427 5688569131 7053246549 7313874597 10971716854 11377138262 14106493098 14627749194 16457575281 17065707393 21159739647 21941623791 32915150562 34131414786 42319479294 43883247582 49372725843 51197122179 98745451686 102394244358 148118177529 153591366537 296236355058 307182733074 351878633389 703757266778 1055635900167 2111271800334 2463150433723 3166907700501 4926300867446 6333815401002 7389451301169 9500723101503 14778902602338 19001446203006 22168353903507 44336707807014 66505061710521 133010123421042