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133021113144 = 233291567121967
BaseRepresentation
bin111101111100010101…
…1010001101100111000
3110201100110200200202020
41323320223101230320
54134411401110034
6141035320034440
712416246543253
oct1737053215470
9421313620666
10133021113144
1151460a50157
1221944602a20
13c70ba6c04a
14661c80a09a
1536d81c8249
hex1ef8ad1b38

133021113144 has 64 divisors (see below), whose sum is σ = 344242483200. Its totient is φ = 42783721344.

The previous prime is 133021113143. The next prime is 133021113151. The reversal of 133021113144 is 441311120331.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133021113143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029649 + ... + 1151615.

It is an arithmetic number, because the mean of its divisors is an integer number (5378788800).

Almost surely, 2133021113144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133021113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172121241600).

133021113144 is an abundant number, since it is smaller than the sum of its proper divisors (211221370056).

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

133021113144 is a wasteful number, since it uses less digits than its factorization.

133021113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123572 (or 123568 counting only the distinct ones).

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

Adding to 133021113144 its reverse (441311120331), we get a palindrome (574332233475).

The spelling of 133021113144 in words is "one hundred thirty-three billion, twenty-one million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1567 3134 4701 6268 9402 12536 18804 37608 45443 90886 121967 136329 181772 243934 272658 363544 365901 487868 545316 731802 975736 1090632 1463604 2927208 3537043 7074086 10611129 14148172 21222258 28296344 42444516 84889032 191122289 382244578 573366867 764489156 1146733734 1528978312 2293467468 4586934936 5542546381 11085092762 16627639143 22170185524 33255278286 44340371048 66510556572 133021113144