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1112132000320 = 26511817938629
BaseRepresentation
bin10000001011110000001…
…110111001101001000000
310221022121101120020110221
4100023300032321221000
5121210121243002240
62210523440232424
7143230445012605
oct20136016715100
93838541506427
101112132000320
1139971a580440
1215b65690b714
1380b483a8ba3
143bb828466ac
151dde0ae7a4a
hex102f03b9a40

1112132000320 has 112 divisors (see below), whose sum is σ = 2889443649600. Its totient is φ = 404351723520.

The previous prime is 1112132000279. The next prime is 1112132000321. The reversal of 1112132000320 is 230002312111.

It is a super-2 number, since 2×11121320003202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1112132000294 and 1112132000303.

It is not an unprimeable number, because it can be changed into a prime (1112132000321) 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, 28770766 + ... + 28809394.

Almost surely, 21112132000320 is an apocalyptic number.

1112132000320 is a gapful number since it is divisible by the number (10) 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 1112132000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444721824800).

1112132000320 is an abundant number, since it is smaller than the sum of its proper divisors (1777311649280).

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

1112132000320 is a wasteful number, since it uses less digits than its factorization.

1112132000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46836 (or 46826 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1112132000320 its reverse (230002312111), we get a palindrome (1342134312431).

The spelling of 1112132000320 in words is "one trillion, one hundred twelve billion, one hundred thirty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 8179 16358 32716 38629 40895 65432 77258 81790 89969 130864 154516 163580 179938 193145 261728 309032 327160 359876 386290 424919 449845 523456 618064 654320 719752 772580 849838 899690 1236128 1308640 1439504 1545160 1699676 1799380 2124595 2472256 2617280 2879008 3090320 3399352 3598760 4249190 5758016 6180640 6798704 7197520 8498380 12361280 13597408 14395040 16996760 27194816 28790080 33993520 67987040 135974080 315946591 631893182 1263786364 1579732955 2527572728 3159465910 3475412501 5055145456 6318931820 6950825002 10110290912 12637863640 13901650004 17377062505 20220581824 25275727280 27803300008 34754125010 50551454560 55606600016 69508250020 101102909120 111213200032 139016500040 222426400064 278033000080 556066000160 1112132000320