Search a number
-
+
133330101121320 = 233515432969242533
BaseRepresentation
bin11110010100001101010101…
…010100001011000100101000
3122111002020021222202222201020
4132110031111110023010220
5114433440021341340240
61151323000342052440
740040532125202345
oct3624152524130450
9574066258688636
10133330101121320
1139534a841a1174
1212b5432511a120
135951c89222a7c
1424cd2d5c457cc
15106334ddec0d0
hex79435550b128

133330101121320 has 128 divisors (see below), whose sum is σ = 400385992723200. Its totient is φ = 35519537055744.

The previous prime is 133330101121309. The next prime is 133330101121333. The reversal of 133330101121320 is 23121101033331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549618774 + ... + 549861306.

It is an arithmetic number, because the mean of its divisors is an integer number (3128015568150).

Almost surely, 2133330101121320 is an apocalyptic number.

133330101121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133330101121320 is an abundant number, since it is smaller than the sum of its proper divisors (267055891601880).

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

133330101121320 is a wasteful number, since it uses less digits than its factorization.

133330101121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247059 (or 247055 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133330101121320 its reverse (23121101033331), we get a palindrome (156451202154651).

The spelling of 133330101121320 in words is "one hundred thirty-three trillion, three hundred thirty billion, one hundred one million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1543 2969 3086 4629 5938 6172 7715 8907 9258 11876 12344 14845 15430 17814 18516 23145 23752 29690 30860 35628 37032 44535 46290 59380 61720 71256 89070 92580 118760 178140 185160 242533 356280 485066 727599 970132 1212665 1455198 1940264 2425330 2910396 3637995 4581167 4850660 5820792 7275990 9162334 9701320 13743501 14551980 18324668 22905835 27487002 29103960 36649336 45811670 54974004 68717505 91623340 109948008 137435010 183246680 274870020 374228419 549740040 720080477 748456838 1122685257 1440160954 1496913676 1871142095 2160241431 2245370514 2880321908 2993827352 3600402385 3742284190 4320482862 4490741028 5613426285 5760643816 7200804770 7484568380 8640965724 8981482056 10801207155 11226852570 14401609540 14969136760 17281931448 21602414310 22453705140 28803219080 43204828620 44907410280 86409657240 1111084176011 2222168352022 3333252528033 4444336704044 5555420880055 6666505056066 8888673408088 11110841760110 13333010112132 16666262640165 22221683520220 26666020224264 33332525280330 44443367040440 66665050560660 133330101121320