Search a number
-
+
10112022012012 = 223173115710184659
BaseRepresentation
bin1001001100100110001101…
…1110101110000001101100
31022210200220012102002020020
42103021203132232001230
52311133410113341022
633301222045322140
72062366221625434
oct223114336560154
938720805362206
1010112022012012
113249536895738
12117393b866350
1358473753892b
1426d5d2a9b2c4
151280847ea35c
hex932637ae06c

10112022012012 has 96 divisors (see below), whose sum is σ = 25952795043840. Its totient is φ = 3050508764160.

The previous prime is 10112022011977. The next prime is 10112022012047. The reversal of 10112022012012 is 21021022021101.

It is an interprime number because it is at equal distance from previous prime (10112022011977) and next prime (10112022012047).

It is a junction number, because it is equal to n+sod(n) for n = 10112022011982 and 10112022012000.

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, 4099462 + ... + 6085197.

It is an arithmetic number, because the mean of its divisors is an integer number (270341615040).

Almost surely, 210112022012012 is an apocalyptic number.

10112022012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112022012012 is an abundant number, since it is smaller than the sum of its proper divisors (15840773031828).

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

10112022012012 is a wasteful number, since it uses less digits than its factorization.

10112022012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184871 (or 10184869 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10112022012012 its reverse (21021022021101), we get a palindrome (31133044033113).

The spelling of 10112022012012 in words is "ten trillion, one hundred twelve billion, twenty-two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 157 186 204 314 372 471 527 628 942 1054 1581 1884 2108 2669 3162 4867 5338 6324 8007 9734 10676 14601 16014 19468 29202 32028 58404 82739 165478 248217 330956 496434 992868 10184659 20369318 30553977 40738636 61107954 122215908 173139203 315724429 346278406 519417609 631448858 692556812 947173287 1038835218 1262897716 1598991463 1894346574 2077670436 3197982926 3788693148 4796974389 5367315293 6395965852 9593948778 10734630586 16101945879 19187897556 21469261172 27182854871 32203891758 49568735353 54365709742 64407783516 81548564613 99137470706 108731419484 148706206059 163097129226 198274941412 297412412118 326194258452 594824824236 842668501001 1685337002002 2528005503003 3370674004004 5056011006006 10112022012012