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1121132100032 = 2678959347417
BaseRepresentation
bin10000010100001000101…
…011100011100111000000
310222011211121211200021022
4100110020223203213000
5121332034304200112
62215012503445012
7143666461420430
oct20241053434700
93864747750238
101121132100032
113a251892a57a
12161348a56768
1381950b92689
143c397c862c0
151e26ace3d72
hex10508ae39c0

1121132100032 has 112 divisors (see below), whose sum is σ = 2575525740480. Its totient is φ = 474275315712.

The previous prime is 1121132100031. The next prime is 1121132100083. The reversal of 1121132100032 is 2300012311211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121132100031) 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, 23620388 + ... + 23667804.

It is an arithmetic number, because the mean of its divisors is an integer number (22995765540).

Almost surely, 21121132100032 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 1121132100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287762870240).

1121132100032 is an abundant number, since it is smaller than the sum of its proper divisors (1454393640448).

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

1121132100032 is an equidigital number, since it uses as much as digits as its factorization.

1121132100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48118 (or 48108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1121132100032 its reverse (2300012311211), we get a palindrome (3421144411243).

The spelling of 1121132100032 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 593 623 712 1186 1246 1424 2372 2492 2848 4151 4744 4984 5696 8302 9488 9968 16604 18976 19936 33208 37952 39872 47417 52777 66416 94834 105554 132832 189668 211108 265664 331919 369439 379336 422216 663838 738878 758672 844432 1327676 1477756 1517344 1688864 2655352 2955512 3034688 3377728 4220113 5310704 5911024 8440226 10621408 11822048 16880452 21242816 23644096 28118281 29540791 33760904 56236562 59081582 67521808 112473124 118163164 135043616 196827967 224946248 236326328 270087232 393655934 449892496 472652656 787311868 899784992 945305312 1574623736 1799569984 1890610624 2502527009 3149247472 5005054018 6298494944 10010108036 12596989888 17517689063 20020216072 35035378126 40040432144 70070756252 80080864288 140141512504 160161728576 280283025008 560566050016 1121132100032