Search a number
-
+
13011222312 = 23321136134547
BaseRepresentation
bin11000001111000011…
…10111111100101000
31020120202220120120200
430013201313330220
5203121333103222
65551031352200
7640300364514
oct140741677450
936522816520
1013011222312
11557754a9a0
122631522660
1312c4800a1a
148b604b144
1551241beac
hex307877f28

13011222312 has 96 divisors (see below), whose sum is σ = 38461344480. Its totient is φ = 3940836480.

The previous prime is 13011222293. The next prime is 13011222317. The reversal of 13011222312 is 21322211031.

13011222312 is a `hidden beast` number, since 130 + 1 + 1 + 222 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13011222317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859223 + ... + 2863769.

It is an arithmetic number, because the mean of its divisors is an integer number (400639005).

Almost surely, 213011222312 is an apocalyptic number.

13011222312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13011222312 is an abundant number, since it is smaller than the sum of its proper divisors (25450122168).

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

13011222312 is a wasteful number, since it uses less digits than its factorization.

13011222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13011222312 its reverse (21322211031), we get a palindrome (34333433343).

The spelling of 13011222312 in words is "thirteen billion, eleven million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 3613 4547 7226 9094 10839 13641 14452 18188 21678 27282 28904 32517 36376 39743 40923 43356 50017 54564 65034 79486 81846 86712 100034 109128 119229 130068 150051 158972 163692 200068 238458 260136 300102 317944 327384 357687 400136 450153 476916 600204 715374 900306 953832 1200408 1430748 1800612 2861496 3601224 16428311 32856622 49284933 65713244 98569866 131426488 147854799 180711421 197139732 295709598 361422842 394279464 542134263 591419196 722845684 1084268526 1182838392 1445691368 1626402789 2168537052 3252805578 4337074104 6505611156 13011222312