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133122131016 = 23372432632537
BaseRepresentation
bin111101111111010110…
…0101000010001001000
3110201121111202221012220
41323332230220101020
54140113231143031
6141053325134040
712421614305100
oct1737654502110
9421544687186
10133122131016
1151502a773a6
12219723ba320
13c72697ac34
14662bdc4200
1536e1ece596
hex1efeb28448

133122131016 has 96 divisors (see below), whose sum is σ = 396144318240. Its totient is φ = 37150348032.

The previous prime is 133122130987. The next prime is 133122131017. The reversal of 133122131016 is 610131221331.

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

It is not an unprimeable number, because it can be changed into a prime (133122131017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265701 + ... + 1366836.

It is an arithmetic number, because the mean of its divisors is an integer number (4126503315).

Almost surely, 2133122131016 is an apocalyptic number.

It is an amenable number.

133122131016 is an abundant number, since it is smaller than the sum of its proper divisors (263022187224).

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

133122131016 is a wasteful number, since it uses less digits than its factorization.

133122131016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632603 (or 2632592 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 133122131016 its reverse (610131221331), we get a palindrome (743253352347).

The spelling of 133122131016 in words is "one hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2408 3612 4214 6321 7224 8428 12642 16856 25284 50568 2632537 5265074 7897611 10530148 15795222 18427759 21060296 31590444 36855518 55283277 63180888 73711036 110566554 113199091 128994313 147422072 221133108 226398182 257988626 339597273 386982939 442266216 452796364 515977252 679194546 773965878 792393637 905592728 1031954504 1358389092 1547931756 1584787274 2377180911 2716778184 3095863512 3169574548 4754361822 5546755459 6339149096 9508723644 11093510918 16640266377 19017447288 22187021836 33280532754 44374043672 66561065508 133122131016