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133521126330 = 235293738910663
BaseRepresentation
bin111110001011001111…
…0101011001110111010
3110202122022112222220010
41330112132223032322
54141422402020310
6141201101042350
712434530563534
oct1742636531672
9422568488803
10133521126330
1151698216499
1221a63b563b6
13c78b52a137
146668da6854
153717045320
hex1f167ab3ba

133521126330 has 128 divisors (see below), whose sum is σ = 341367436800. Its totient is φ = 33359606784.

The previous prime is 133521126307. The next prime is 133521126331. The reversal of 133521126330 is 33621125331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133521126331) by changing a digit.

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, 12516579 + ... + 12527241.

It is an arithmetic number, because the mean of its divisors is an integer number (2666933100).

Almost surely, 2133521126330 is an apocalyptic number.

133521126330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133521126330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170683718400).

133521126330 is an abundant number, since it is smaller than the sum of its proper divisors (207846310470).

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

133521126330 is a wasteful number, since it uses less digits than its factorization.

133521126330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128.

The product of its (nonzero) digits is 9720, while the sum is 30.

Subtracting from 133521126330 its reverse (33621125331), we obtain a palindrome (99900000999).

The spelling of 133521126330 in words is "one hundred thirty-three billion, five hundred twenty-one million, one hundred twenty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 290 370 389 435 555 778 870 1073 1110 1167 1945 2146 2334 3219 3890 5365 5835 6438 10663 10730 11281 11670 14393 16095 21326 22562 28786 31989 32190 33843 43179 53315 56405 63978 67686 71965 86358 106630 112810 143930 159945 169215 215895 309227 319890 338430 394531 417397 431790 618454 789062 834794 927681 1183593 1252191 1546135 1855362 1972655 2086985 2367186 2504382 3092270 3945310 4147907 4173970 4638405 5917965 6260955 8295814 9276810 11441399 11835930 12443721 12521910 20739535 22882798 24887442 34324197 41479070 57206995 62218605 68648394 114413990 120289303 124437210 153472559 171620985 240578606 306945118 343241970 360867909 460417677 601446515 721735818 767362795 920835354 1202893030 1534725590 1804339545 2302088385 3608679090 4450704211 4604176770 8901408422 13352112633 22253521055 26704225266 44507042110 66760563165 133521126330