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133412111340 = 223523349277007
BaseRepresentation
bin111110000111111111…
…0110100001111101100
3110202100201102110102220
41330033332310033230
54141212000030330
6141142204315340
712432035143554
oct1741776641754
9422321373386
10133412111340
1151641727962
1221a33542b50
13c771a7b221
14665870a164
15370c6ae710
hex1f0ffb43ec

133412111340 has 96 divisors (see below), whose sum is σ = 390913689600. Its totient is φ = 33932126976.

The previous prime is 133412111333. The next prime is 133412111341. The reversal of 133412111340 is 43111214331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133412111340.

It is not an unprimeable number, because it can be changed into a prime (133412111341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343117 + ... + 620123.

It is an arithmetic number, because the mean of its divisors is an integer number (4072017600).

Almost surely, 2133412111340 is an apocalyptic number.

133412111340 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 133412111340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195456844800).

133412111340 is an abundant number, since it is smaller than the sum of its proper divisors (257501578260).

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

133412111340 is a wasteful number, since it uses less digits than its factorization.

133412111340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277391 (or 277389 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 133412111340 its reverse (43111214331), we get a palindrome (176523325671).

The spelling of 133412111340 in words is "one hundred thirty-three billion, four hundred twelve million, one hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 349 460 690 698 1047 1380 1396 1745 2094 3490 4188 5235 6980 8027 10470 16054 20940 24081 32108 40135 48162 80270 96324 120405 160540 240810 277007 481620 554014 831021 1108028 1385035 1662042 2770070 3324084 4155105 5540140 6371161 8310210 12742322 16620420 19113483 25484644 31855805 38226966 63711610 76453932 95567415 96675443 127423220 191134830 193350886 290026329 382269660 386701772 483377215 580052658 966754430 1160105316 1450131645 1933508860 2223535189 2900263290 4447070378 5800526580 6670605567 8894140756 11117675945 13341211134 22235351890 26682422268 33353027835 44470703780 66706055670 133412111340