Search a number
-
+
133001003104000 = 28539194522613
BaseRepresentation
bin11110001111011010110101…
…100010110111011100000000
3122102220202211120210112012221
4132033122311202313130000
5114413042023243312000
61150511452313300424
740005001562205163
oct3617326542673400
9572822746715187
10133001003104000
1139418454a17879
1212b0059aa04714
135929c2cb6b045
1424bb3d63adada
1510599dbdd361a
hex78f6b58b7700

133001003104000 has 144 divisors (see below), whose sum is σ = 331682721814080. Its totient is φ = 53142500044800.

The previous prime is 133001003103979. The next prime is 133001003104003. The reversal of 133001003104000 is 401300100331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133001003104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27146694 + ... + 31669306.

It is an arithmetic number, because the mean of its divisors is an integer number (2303352234820).

Almost surely, 2133001003104000 is an apocalyptic number.

133001003104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133001003104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165841360907040).

133001003104000 is an abundant number, since it is smaller than the sum of its proper divisors (198681718710080).

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

133001003104000 is an frugal number, since it uses more digits than its factorization.

133001003104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523563 (or 4523539 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133001003104000 its reverse (401300100331), we get a palindrome (133402303204331).

The spelling of 133001003104000 in words is "one hundred thirty-three trillion, one billion, three million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 919 1000 1280 1600 1838 2000 3200 3676 4000 4595 6400 7352 8000 9190 14704 16000 18380 22975 29408 32000 36760 45950 58816 73520 91900 114875 117632 147040 183800 229750 235264 294080 367600 459500 588160 735200 919000 1176320 1470400 1838000 2940800 3676000 4522613 5881600 7352000 9045226 14704000 18090452 22613065 29408000 36180904 45226130 72361808 90452260 113065325 144723616 180904520 226130650 289447232 361809040 452261300 565326625 578894464 723618080 904522600 1130653250 1157788928 1447236160 1809045200 2261306500 2894472320 3618090400 4156281347 4522613000 5788944640 7236180800 8312562694 9045226000 14472361600 16625125388 18090452000 20781406735 28944723200 33250250776 36180904000 41562813470 66500501552 72361808000 83125626940 103907033675 133001003104 144723616000 166251253880 207814067350 266002006208 332502507760 415628134700 519535168375 532004012416 665005015520 831256269400 1039070336750 1064008024832 1330010031040 1662512538800 2078140673500 2660020062080 3325025077600 4156281347000 5320040124160 6650050155200 8312562694000 13300100310400 16625125388000 26600200620800 33250250776000 66500501552000 133001003104000