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1130320320012 = 223413293991309
BaseRepresentation
bin10000011100101100010…
…101110101011000001100
311000001112222002121120000
4100130230111311120030
5122004344000220022
62223132331124300
7144443251123662
oct20345425653014
94001488077500
101130320320012
113a6403398204
12163091ba3690
1382786634130
143c9ca294c32
151e60779e6ac
hex1072c57560c

1130320320012 has 120 divisors (see below), whose sum is σ = 3183296701200. Its totient is φ = 347668723584.

The previous prime is 1130320319963. The next prime is 1130320320029. The reversal of 1130320320012 is 2100230230311.

1130320320012 is a `hidden beast` number, since 1 + 13 + 0 + 320 + 320 + 0 + 12 = 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 39 ways as a sum of consecutive naturals, for example, 12333414 + ... + 12424722.

It is an arithmetic number, because the mean of its divisors is an integer number (26527472510).

Almost surely, 21130320320012 is an apocalyptic number.

1130320320012 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 1130320320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591648350600).

1130320320012 is an abundant number, since it is smaller than the sum of its proper divisors (2052976381188).

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

1130320320012 is a wasteful number, since it uses less digits than its factorization.

1130320320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94277 (or 94266 counting only the distinct ones).

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

Adding to 1130320320012 its reverse (2100230230311), we get a palindrome (3230550550323).

The spelling of 1130320320012 in words is "one trillion, one hundred thirty billion, three hundred twenty million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2939 4212 5878 8817 11756 17634 26451 35268 38207 52902 76414 79353 91309 105804 114621 152828 158706 182618 229242 238059 273927 317412 343863 365236 458484 476118 547854 687726 821781 952236 1031589 1095708 1187017 1375452 1643562 2063178 2374034 2465343 3094767 3287124 3561051 4126356 4748068 4930686 6189534 7122102 7396029 9861372 10683153 12379068 14244204 14792058 21366306 29584116 32049459 42732612 64098918 96148377 128197836 192296754 268357151 384593508 536714302 805071453 1073428604 1610142906 2415214359 3220285812 3488642963 4830428718 6977285926 7245643077 9660857436 10465928889 13954571852 14491286154 20931857778 21736929231 28982572308 31397786667 41863715556 43473858462 62795573334 86947716924 94193360001 125591146668 188386720002 282580080003 376773440004 565160160006 1130320320012