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133442120130 = 235112335948973
BaseRepresentation
bin111110001000111000…
…1010010100111000010
3110202102210220001202120
41330101301102213002
54141242140321010
6141145155425110
712432551210004
oct1742161224702
9422383801676
10133442120130
1151657663a10
1221a415b5196
13c7780571c7
14665c6bc374
15371013ae70
hex1f11c529c2

133442120130 has 128 divisors (see below), whose sum is σ = 365588951040. Its totient is φ = 30856277760.

The previous prime is 133442120129. The next prime is 133442120173. The reversal of 133442120130 is 31021244331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133442120130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2700324 + ... + 2749296.

It is an arithmetic number, because the mean of its divisors is an integer number (2856163680).

Almost surely, 2133442120130 is an apocalyptic number.

133442120130 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 133442120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182794475520).

133442120130 is an abundant number, since it is smaller than the sum of its proper divisors (232146830910).

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

133442120130 is a wasteful number, since it uses less digits than its factorization.

133442120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49376.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133442120130 its reverse (31021244331), we get a palindrome (164463364461).

The spelling of 133442120130 in words is "one hundred thirty-three billion, four hundred forty-two million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 359 506 690 718 759 1077 1265 1518 1795 2154 2530 3590 3795 3949 5385 7590 7898 8257 10770 11847 16514 19745 23694 24771 39490 41285 48973 49542 59235 82570 90827 97946 118470 123855 146919 181654 244865 247710 272481 293838 454135 489730 538703 544962 734595 908270 1077406 1126379 1362405 1469190 1616109 2252758 2693515 2724810 3232218 3379137 5387030 5631895 6758274 8080545 11263790 12390169 16161090 16895685 17581307 24780338 33791370 35162614 37170507 52743921 61950845 74341014 87906535 105487842 123901690 175813070 185852535 193394377 263719605 371705070 386788754 404370061 527439210 580183131 808740122 966971885 1160366262 1213110183 1933943770 2021850305 2426220366 2900915655 4043700610 4448070671 5801831310 6065550915 8896141342 12131101830 13344212013 22240353355 26688424026 44480706710 66721060065 133442120130