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1132113223232 = 26291777343261
BaseRepresentation
bin10000011110010111001…
…101001101111001000000
311000020011220202112101222
4100132113031031321000
5122022031441120412
62224030255214212
7144535551423035
oct20362715157100
94006156675358
101132113223232
113a7143444a02
121634b2517368
13829b0c0ac04
143cb1a44138c
151e6aeda5072
hex1079734de40

1132113223232 has 56 divisors (see below), whose sum is σ = 2325318575160. Its totient is φ = 546228264960.

The previous prime is 1132113223159. The next prime is 1132113223301. The reversal of 1132113223232 is 2323223112311.

It can be written as a sum of positive squares in 4 ways, for example, as 60523872256 + 1071589350976 = 246016^2 + 1035176^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3126482 + ... + 3469742.

It is an arithmetic number, because the mean of its divisors is an integer number (41523545985).

Almost surely, 21132113223232 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 1132113223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162659287580).

1132113223232 is an abundant number, since it is smaller than the sum of its proper divisors (1193205351928).

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

1132113223232 is a wasteful number, since it uses less digits than its factorization.

1132113223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345079 (or 345069 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

Adding to 1132113223232 its reverse (2323223112311), we get a palindrome (3455336335543).

The spelling of 1132113223232 in words is "one trillion, one hundred thirty-two billion, one hundred thirteen million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1777 1856 3554 7108 14216 28432 51533 56864 103066 113728 206132 343261 412264 686522 824528 1373044 1649056 2746088 3298112 5492176 9954569 10984352 19909138 21968704 39818276 79636552 159273104 318546208 609974797 637092416 1219949594 2439899188 4879798376 9759596752 17689269113 19519193504 35378538226 39038387008 70757076452 141514152904 283028305808 566056611616 1132113223232