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1320011112 = 233737732909
BaseRepresentation
bin100111010101101…
…1100010101101000
310101222211111211110
41032223130111220
510200410323422
6334552230320
744465623620
oct11653342550
93358744743
101320011112
11618125982
1230a09b3a0
13180623484
14c744d880
157ad4460c
hex4eadc568

1320011112 has 128 divisors (see below), whose sum is σ = 3927801600. Its totient is φ = 361801728.

The previous prime is 1320011107. The next prime is 1320011191. The reversal of 1320011112 is 2111100231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452314 + ... + 455222.

It is an arithmetic number, because the mean of its divisors is an integer number (30685950).

Almost surely, 21320011112 is an apocalyptic number.

1320011112 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 1320011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963900800).

1320011112 is an abundant number, since it is smaller than the sum of its proper divisors (2607790488).

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

1320011112 is a wasteful number, since it uses less digits than its factorization.

1320011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1320011112 is about 36331.9571727150. The cubic root of 1320011112 is about 1096.9643886178.

Adding to 1320011112 its reverse (2111100231), we get a palindrome (3431111343).

The spelling of 1320011112 in words is "one billion, three hundred twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 73 74 84 111 146 148 168 219 222 259 292 296 438 444 511 518 584 777 876 888 1022 1036 1533 1554 1752 2044 2072 2701 2909 3066 3108 4088 5402 5818 6132 6216 8103 8727 10804 11636 12264 16206 17454 18907 20363 21608 23272 32412 34908 37814 40726 56721 61089 64824 69816 75628 81452 107633 113442 122178 151256 162904 212357 215266 226884 244356 322899 424714 430532 453768 488712 637071 645798 753431 849428 861064 1274142 1291596 1486499 1506862 1698856 2260293 2548284 2583192 2972998 3013724 4459497 4520586 5096568 5945996 6027448 7857209 8918994 9041172 11891992 15714418 17837988 18082344 23571627 31428836 35675976 47143254 55000463 62857672 94286508 110000926 165001389 188573016 220001852 330002778 440003704 660005556 1320011112