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1132033032042 = 23113110111348479
BaseRepresentation
bin10000011110010010011…
…011010011111101101010
311000012222022212101202220
4100132102123103331222
5122021400424011132
62224014312334510
7144533556002343
oct20362233237552
94005868771686
101132033032042
113a71021530a0
1216348b6a4436
138299a4117c3
143cb0d9290ca
151e6a7d14a2c
hex107926d3f6a

1132033032042 has 128 divisors (see below), whose sum is σ = 2597646827520. Its totient is φ = 325772160000.

The previous prime is 1132033031963. The next prime is 1132033032049. The reversal of 1132033032042 is 2402303302311.

It is not an unprimeable number, because it can be changed into a prime (1132033032049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23326759 + ... + 23375237.

It is an arithmetic number, because the mean of its divisors is an integer number (20294115840).

Almost surely, 21132033032042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132033032042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298823413760).

1132033032042 is an abundant number, since it is smaller than the sum of its proper divisors (1465613795478).

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

1132033032042 is a wasteful number, since it uses less digits than its factorization.

1132033032042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48740.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1132033032042 its reverse (2402303302311), we get a palindrome (3534336334353).

The spelling of 1132033032042 in words is "one trillion, one hundred thirty-two billion, thirty-three million, thirty-two thousand, forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 113 186 202 226 303 339 341 606 678 682 1023 1111 1243 2046 2222 2486 3131 3333 3503 3729 6262 6666 7006 7458 9393 10509 11413 18786 21018 22826 34239 34441 38533 48479 68478 68882 77066 96958 103323 115599 125543 145437 206646 231198 251086 290874 353803 376629 533269 707606 753258 1061409 1066538 1502849 1599807 2122818 3005698 3199614 3891833 4508547 4896379 5478127 7783666 9017094 9792758 10956254 11675499 14689137 16434381 16531339 23350998 29378274 32868762 33062678 49594017 53860169 60259397 99188034 107720338 120518794 151787749 161580507 169821937 180778191 303575498 323161014 339643874 361556382 455363247 509465811 553290827 910726494 1018931622 1106581654 1659872481 1669665239 1868041307 3319744962 3339330478 3736082614 5008995717 5604123921 6086199097 10017991434 11208247842 12172398194 17152015637 18258597291 34304031274 36517194582 51456046911 102912093822 188672172007 377344344014 566016516021 1132033032042