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1131320000232 = 2332611511705871
BaseRepresentation
bin10000011101100111111…
…011010011111011101000
311000011010122011122000100
4100131213323103323220
5122013420410001412
62223415441505400
7144510110223402
oct20354773237350
94004118148010
101131320000232
113a6876712804
12163310942260
13828b578b8a6
143ca82d5bb72
151e66541aedc
hex10767ed3ee8

1131320000232 has 96 divisors (see below), whose sum is σ = 3134846856960. Its totient is φ = 368467920000.

The previous prime is 1131320000203. The next prime is 1131320000243. The reversal of 1131320000232 is 2320000231311.

1131320000232 is a `hidden beast` number, since 113 + 1 + 320 + 0 + 0 + 0 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189744 + ... + 1516127.

It is an arithmetic number, because the mean of its divisors is an integer number (32654654760).

Almost surely, 21131320000232 is an apocalyptic number.

1131320000232 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 1131320000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567423428480).

1131320000232 is an abundant number, since it is smaller than the sum of its proper divisors (2003526856728).

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

1131320000232 is a wasteful number, since it uses less digits than its factorization.

1131320000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706095 (or 1706088 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1131320000232 its reverse (2320000231311), we get a palindrome (3451320231543).

The spelling of 1131320000232 in words is "one trillion, one hundred thirty-one billion, three hundred twenty million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 151 183 244 302 366 453 488 549 604 732 906 1098 1208 1359 1464 1812 2196 2718 3624 4392 5436 9211 10872 18422 27633 36844 55266 73688 82899 110532 165798 221064 331596 663192 1705871 3411742 5117613 6823484 10235226 13646968 15352839 20470452 30705678 40940904 61411356 104058131 122822712 208116262 257586521 312174393 416232524 515173042 624348786 772759563 832465048 936523179 1030346084 1248697572 1545519126 1873046358 2060692168 2318278689 2497395144 3091038252 3746092716 4636557378 6182076504 7492185432 9273114756 15712777781 18546229512 31425555562 47138333343 62851111124 94276666686 125702222248 141415000029 188553333372 282830000058 377106666744 565660000116 1131320000232