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133007522157114 = 231119929852113399
BaseRepresentation
bin11110001111100000111010…
…000111000101001000111010
3122102221101122220112201220120
4132033200322013011020322
5114413143401133011424
61150514451231234110
740005322251224013
oct3617407207051072
9572841586481816
10133007522157114
113942019a838980
1212b018ba078936
13592a72b630317
1424bb8540d400a
151059c6e399a79
hex78f83a1c523a

133007522157114 has 128 divisors (see below), whose sum is σ = 305859352320000. Its totient is φ = 38135552716800.

The previous prime is 133007522157101. The next prime is 133007522157157. The reversal of 133007522157114 is 411751225700331.

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 63 ways as a sum of consecutive naturals, for example, 9926668587 + ... + 9926681985.

It is an arithmetic number, because the mean of its divisors is an integer number (2389526190000).

Almost surely, 2133007522157114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133007522157114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152929676160000).

133007522157114 is an abundant number, since it is smaller than the sum of its proper divisors (172851830162886).

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

133007522157114 is a wasteful number, since it uses less digits than its factorization.

133007522157114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22884.

The product of its (nonzero) digits is 176400, while the sum is 42.

Adding to 133007522157114 its reverse (411751225700331), we get a palindrome (544758747857445).

The spelling of 133007522157114 in words is "one hundred thirty-three trillion, seven billion, five hundred twenty-two million, one hundred fifty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 929 1254 1858 2787 5574 8521 10219 13399 17042 17651 20438 25563 26798 30657 35302 40197 51126 52953 61314 80394 93731 105906 147389 161899 187462 194161 254581 281193 294778 323798 388322 442167 485697 509162 562386 582483 763743 884334 971394 1164966 1527486 1780889 2800391 3561778 5342667 5600782 7916009 8401173 10685334 12447671 15832018 16802346 23748027 24895342 37343013 47496054 74686026 87076099 114172879 136924381 150404171 174152198 228345758 236505749 261228297 273848762 300808342 342518637 410773143 451212513 473011498 522456594 685037274 709517247 821546286 902425026 1255901669 1419034494 1654445881 2169284701 2511803338 2601563239 3308891762 3767705007 4338569402 4963337643 5203126478 6507854103 7535410014 7804689717 9926675286 13015708206 15609379434 23862131711 47724263422 71586395133 106066604591 143172790266 212133209182 318199813773 636399627546 1166732650501 2015265487229 2333465301002 3500197951503 4030530974458 6045796461687 7000395903006 12091592923374 22167920359519 44335840719038 66503761078557 133007522157114