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133142401200 = 24352195839579
BaseRepresentation
bin111101111111111100…
…1111101000010110000
3110201122220220202200110
41323333321331002300
54140133423314300
6141055331421320
712422251510614
oct1737771750260
9421586822613
10133142401200
1151513461716
1221979154840
13c72ac27323
14663097d344
1536e3b85550
hex1effe7d0b0

133142401200 has 120 divisors (see below), whose sum is σ = 448946910400. Its totient is φ = 33635969280.

The previous prime is 133142401169. The next prime is 133142401211. The reversal of 133142401200 is 2104241331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1331424012003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2896990 + ... + 2942589.

Almost surely, 2133142401200 is an apocalyptic number.

133142401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133142401200 is an abundant number, since it is smaller than the sum of its proper divisors (315804509200).

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

133142401200 is a wasteful number, since it uses less digits than its factorization.

133142401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839619 (or 5839608 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 133142401200 its reverse (2104241331), we get a palindrome (135246642531).

The spelling of 133142401200 in words is "one hundred thirty-three billion, one hundred forty-two million, four hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 5839579 11679158 17518737 23358316 29197895 35037474 46716632 58395790 70074948 87593685 93433264 110952001 116791580 140149896 145989475 175187370 221904002 233583160 280299792 291978950 332856003 350374740 437968425 443808004 467166320 554760005 583957900 665712006 700749480 875936850 887616008 1109520010 1167915800 1331424012 1401498960 1664280015 1751873700 1775232016 2219040020 2335831600 2662848024 2773800025 3328560030 3503747400 4438080040 5325696048 5547600050 6657120060 7007494800 8321400075 8876160080 11095200100 13314240120 16642800150 22190400200 26628480240 33285600300 44380800400 66571200600 133142401200