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1131131224032 = 253103924112379
BaseRepresentation
bin10000011101011100101…
…011001011111111100000
311000010122110221210202020
4100131130223023333200
5122013024043132112
62223345015421440
7144502325523435
oct20353453137740
94003573853666
101131131224032
113a678a0a6417
12163279684880
13828856341b4
143ca65c5bb8c
151e653a7c48c
hex1075cacbfe0

1131131224032 has 96 divisors (see below), whose sum is σ = 2998613479680. Its totient is φ = 373312558080.

The previous prime is 1131131224021. The next prime is 1131131224123. The reversal of 1131131224032 is 2304221311311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1131131223993 and 1131131224011.

It is a congruent number.

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, 91368819 + ... + 91381197.

It is an arithmetic number, because the mean of its divisors is an integer number (31235557080).

Almost surely, 21131131224032 is an apocalyptic number.

1131131224032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131131224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499306739840).

1131131224032 is an abundant number, since it is smaller than the sum of its proper divisors (1867482255648).

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

1131131224032 is a wasteful number, since it uses less digits than its factorization.

1131131224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21736 (or 21728 counting only the distinct ones).

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

Adding to 1131131224032 its reverse (2304221311311), we get a palindrome (3435352535343).

The spelling of 1131131224032 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9241 9888 12379 18482 24758 27723 36964 37137 49516 55446 73928 74274 99032 110892 147856 148548 198064 221784 295712 297096 396128 443568 594192 887136 951823 1188384 1275037 1903646 2550074 2855469 3807292 3825111 5100148 5710938 7614584 7650222 10200296 11421876 15229168 15300444 20400592 22843752 30458336 30600888 40801184 45687504 61201776 91375008 114394339 122403552 228788678 343183017 457577356 686366034 915154712 1372732068 1830309424 2745464136 3660618848 5490928272 10981856544 11782616917 23565233834 35347850751 47130467668 70695701502 94260935336 141391403004 188521870672 282782806008 377043741344 565565612016 1131131224032