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133211132112120 = 233510138693284057
BaseRepresentation
bin11110010010011110100010…
…001101011010110011111000
3122110122212012211121010201020
4132102132202031122303320
5114430012344310041440
61151152203235222440
740026121015254126
oct3622364215326370
9573585184533636
10133211132112120
11394995842a7767
1212b35262747a20
1359439a980683a
1424c764b7d6916
1510601d96ea3d0
hex7927a235acf8

133211132112120 has 128 divisors (see below), whose sum is σ = 403602014053440. Its totient is φ = 35170223206400.

The previous prime is 133211132112089. The next prime is 133211132112143. The reversal of 133211132112120 is 21211231112331.

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

It is a congruent number.

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, 468817132 + ... + 469101188.

Almost surely, 2133211132112120 is an apocalyptic number.

133211132112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133211132112120 is an abundant number, since it is smaller than the sum of its proper divisors (270390881941320).

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

133211132112120 is a wasteful number, since it uses less digits than its factorization.

133211132112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322865 (or 322861 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 133211132112120 its reverse (21211231112331), we get a palindrome (154422363224451).

The spelling of 133211132112120 in words is "one hundred thirty-three trillion, two hundred eleven billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 38693 77386 116079 154772 193465 232158 284057 309544 386930 464316 568114 580395 773860 852171 928632 1136228 1160790 1420285 1547720 1704342 2272456 2321580 2840570 3408684 3907993 4260855 4643160 5681140 6817368 7815986 8521710 11362280 11723979 15631972 17043420 19539965 23447958 28689757 31263944 34086840 39079930 46895916 57379514 58619895 78159860 86069271 93791832 114759028 117239790 143448785 156319720 172138542 229518056 234479580 286897570 344277084 430346355 468959160 573795140 688554168 860692710 1147590280 1721385420 3442770840 10991017501 21982035002 32973052503 43964070004 54955087505 65946105006 87928140008 109910175010 131892210012 164865262515 219820350020 263784420024 329730525030 439640700040 659461050060 1110092767601 1318922100120 2220185535202 3330278302803 4440371070404 5550463838005 6660556605606 8880742140808 11100927676010 13321113211212 16651391514015 22201855352020 26642226422424 33302783028030 44403710704040 66605566056060 133211132112120