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1312146612 = 22327191791531
BaseRepresentation
bin100111000110101…
…1100010010110100
310101110000221202200
41032031130102310
510141402142422
6334111504500
744342030220
oct11615342264
93343027680
101312146612
11613744197
12307528130
1317bacb91a
14c63a3780
157a2de2ac
hex4e35c4b4

1312146612 has 144 divisors (see below), whose sum is σ = 4015065600. Its totient is φ = 352952640.

The previous prime is 1312146587. The next prime is 1312146613. The reversal of 1312146612 is 2166412131.

It is a happy number.

1312146612 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 46 + 612 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312146613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856287 + ... + 857817.

It is an arithmetic number, because the mean of its divisors is an integer number (27882400).

Almost surely, 21312146612 is an apocalyptic number.

1312146612 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 1312146612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007532800).

1312146612 is an abundant number, since it is smaller than the sum of its proper divisors (2702918988).

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

1312146612 is a wasteful number, since it uses less digits than its factorization.

1312146612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1741 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1312146612 is about 36223.5643193764. The cubic root of 1312146612 is about 1094.7815114207.

Adding to 1312146612 its reverse (2166412131), we get a palindrome (3478558743).

The spelling of 1312146612 in words is "one billion, three hundred twelve million, one hundred forty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 179 228 252 266 342 358 399 532 537 684 716 798 1074 1197 1253 1531 1596 1611 2148 2394 2506 3062 3222 3401 3759 4593 4788 5012 6124 6444 6802 7518 9186 10203 10717 11277 13604 13779 15036 18372 20406 21434 22554 23807 27558 29089 30609 32151 40812 42868 45108 47614 55116 58178 61218 64302 71421 87267 95228 96453 116356 122436 128604 142842 174534 192906 203623 214263 261801 274049 285684 349068 385812 407246 428526 523602 548098 610869 814492 822147 857052 1047204 1096196 1221738 1644294 1832607 1918343 2443476 2466441 3288588 3665214 3836686 4932882 5206931 5755029 7330428 7673372 9865764 10413862 11510058 15620793 17265087 20827724 23020116 31241586 34530174 36448517 46862379 62483172 69060348 72897034 93724758 109345551 145794068 187449516 218691102 328036653 437382204 656073306 1312146612