Search a number
-
+
133122104144000 = 275331268391339
BaseRepresentation
bin11110010001001011100111…
…101110101011000010000000
3122110100100102022202202122122
4132101023213232223002000
5114422033032130102000
61151043241141023412
740016516561104556
oct3621134756530200
9573310368682578
10133122104144000
1139464849337604
1212b1bb573b4b68
13593848c1ab56a
1424c3203a45bd6
15105cc28878085
hex7912e7bab080

133122104144000 has 128 divisors (see below), whose sum is σ = 341651440166400. Its totient is φ = 51531136896000.

The previous prime is 133122104143993. The next prime is 133122104144011. The reversal of 133122104144000 is 441401221331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1331221041440002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133699670 + ... + 134691669.

It is an arithmetic number, because the mean of its divisors is an integer number (2669151876300).

Almost surely, 2133122104144000 is an apocalyptic number.

133122104144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122104144000 is an abundant number, since it is smaller than the sum of its proper divisors (208529336022400).

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

133122104144000 is an equidigital number, since it uses as much as digits as its factorization.

133122104144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268391399 (or 268391377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 133122104144000 its reverse (441401221331), we get a palindrome (133563505365331).

The spelling of 133122104144000 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, one hundred four million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 640 775 800 992 1000 1240 1550 1600 1984 2000 2480 3100 3200 3875 3968 4000 4960 6200 7750 8000 9920 12400 15500 16000 19840 24800 31000 49600 62000 99200 124000 248000 496000 268391339 536782678 1073565356 1341956695 2147130712 2683913390 4294261424 5367826780 6709783475 8320131509 8588522848 10735653560 13419566950 16640263018 17177045696 21471307120 26839133900 33280526036 33548917375 34354091392 41600657545 42942614240 53678267800 66561052072 67097834750 83201315090 85885228480 107356535600 133122104144 134195669500 166402630180 171770456960 208003287725 214713071200 266244208288 268391339000 332805260360 416006575450 429426142400 532488416576 536782678000 665610520720 832013150900 858852284800 1040016438625 1064976833152 1073565356000 1331221041440 1664026301800 2080032877250 2147130712000 2662442082880 3328052603600 4160065754500 4294261424000 5324884165760 6656105207200 8320131509000 13312210414400 16640263018000 26624420828800 33280526036000 66561052072000 133122104144000