Search a number
-
+
133133322010230 = 232519131324743809
BaseRepresentation
bin11110010001010110000100…
…010111011011111001110110
3122110101102101010011102011200
4132101112010113123321312
5114422224020413311410
61151052334230513330
740020364554306123
oct3621260427337166
9573342333142150
10133133322010230
1139469585550533
1212b22168205846
1359395592a7329
1424c398982974a
15105d1836003c0
hex7915845dbe76

133133322010230 has 96 divisors (see below), whose sum is σ = 349070627243520. Its totient is φ = 35203510517760.

The previous prime is 133133322010217. The next prime is 133133322010237. The reversal of 133133322010230 is 32010223331331.

133133322010230 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 333 + 220 + 102 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133133322010194 and 133133322010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133322010237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6991435 + ... + 17752374.

It is an arithmetic number, because the mean of its divisors is an integer number (3636152367120).

Almost surely, 2133133322010230 is an apocalyptic number.

133133322010230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133133322010230 is an abundant number, since it is smaller than the sum of its proper divisors (215937305233290).

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

133133322010230 is a wasteful number, since it uses less digits than its factorization.

133133322010230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24744326 (or 24744323 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133133322010230 its reverse (32010223331331), we get a palindrome (165143545341561).

The spelling of 133133322010230 in words is "one hundred thirty-three trillion, one hundred thirty-three billion, three hundred twenty-two million, ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 313 382 573 626 939 955 1146 1565 1719 1878 1910 2817 2865 3130 3438 4695 5634 5730 8595 9390 14085 17190 28170 59783 119566 179349 298915 358698 538047 597830 896745 1076094 1793490 2690235 5380470 24743809 49487618 74231427 123719045 148462854 222694281 247438090 371157135 445388562 742314270 1113471405 2226942810 4726067519 7744812217 9452135038 14178202557 15489624434 23234436651 23630337595 28356405114 38724061085 42534607671 46468873302 47260675190 69703309953 70891012785 77448122170 85069215342 116172183255 139406619906 141782025570 212673038355 232344366510 348516549765 425346076710 697033099530 1479259133447 2958518266894 4437777400341 7396295667235 8875554800682 13313332201023 14792591334470 22188887001705 26626664402046 44377774003410 66566661005115 133133322010230