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1133313200032 = 251383251130769
BaseRepresentation
bin10000011111011110101…
…110110000111110100000
311000100021112201200010011
4100133132232300332200
5122032011134400112
62224345323014304
7144610362153466
oct20373656607640
94010245650104
101133313200032
113a76a9835272
1216378836a394
1382b426c4960
143cbd1966836
151e7303d8aa7
hex107debb0fa0

1133313200032 has 96 divisors (see below), whose sum is σ = 2441498915520. Its totient is φ = 514702848000.

The previous prime is 1133313200009. The next prime is 1133313200053. The reversal of 1133313200032 is 2300023133311.

It is a junction number, because it is equal to n+sod(n) for n = 1133313199976 and 1133313200012.

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, 8601144 + ... + 8731912.

It is an arithmetic number, because the mean of its divisors is an integer number (25432280370).

Almost surely, 21133313200032 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 1133313200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220749457760).

1133313200032 is an abundant number, since it is smaller than the sum of its proper divisors (1308185715488).

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

1133313200032 is a wasteful number, since it uses less digits than its factorization.

1133313200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131126 (or 131118 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1133313200032 its reverse (2300023133311), we get a palindrome (3433336333343).

The spelling of 1133313200032 in words is "one trillion, one hundred thirty-three billion, three hundred thirteen million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 251 332 416 502 664 1004 1079 1328 2008 2158 2656 3263 4016 4316 6526 8032 8632 13052 17264 20833 26104 34528 41666 52208 83332 104416 130769 166664 261538 270829 333328 523076 541658 666656 1046152 1083316 1699997 2092304 2166632 3399994 4184608 4333264 6799988 8666528 10853827 13599976 21707654 27199952 32823019 43415308 54399904 65646038 86830616 131292076 141099751 173661232 262584152 282199502 347322464 426699247 525168304 564399004 853398494 1050336608 1128798008 1706796988 2257596016 2724310577 3413593976 4515192032 5448621154 6827187952 10897242308 13654375904 21794484616 35416037501 43588969232 70832075002 87177938464 141664150004 283328300008 566656600016 1133313200032