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10012223212224 = 263478313367597
BaseRepresentation
bin1001000110110010011100…
…0000100000101011000000
31022110011022001100202210020
42101230213000200223000
52303020013120242344
633143315110533440
72052234140053452
oct221544700405300
938404261322706
1010012223212224
113210183a92302
121158529367280
135781c161388c
142688466522d2
151256930a5719
hex91b27020ac0

10012223212224 has 112 divisors (see below), whose sum is σ = 27380262809088. Its totient is φ = 3227044615168.

The previous prime is 10012223212181. The next prime is 10012223212301. The reversal of 10012223212224 is 42221232221001.

It is a super-2 number, since 2×100122232122242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10012223212194 and 10012223212203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5934807 + ... + 7432790.

It is an arithmetic number, because the mean of its divisors is an integer number (244466632224).

Almost surely, 210012223212224 is an apocalyptic number.

It is an amenable number.

10012223212224 is an abundant number, since it is smaller than the sum of its proper divisors (17368039596864).

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

10012223212224 is a wasteful number, since it uses less digits than its factorization.

10012223212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367742 (or 13367732 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10012223212224 its reverse (42221232221001), we get a palindrome (52233455433225).

The spelling of 10012223212224 in words is "ten trillion, twelve billion, two hundred twenty-three million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 83 94 96 141 166 188 192 249 282 332 376 498 564 664 752 996 1128 1328 1504 1992 2256 2656 3008 3901 3984 4512 5312 7802 7968 9024 11703 15604 15936 23406 31208 46812 62416 93624 124832 187248 249664 374496 748992 13367597 26735194 40102791 53470388 80205582 106940776 160411164 213881552 320822328 427763104 628277059 641644656 855526208 1109510551 1256554118 1283289312 1884831177 2219021102 2513108236 2566578624 3328531653 3769662354 4438042204 5026216472 6657063306 7539324708 8876084408 10052432944 13314126612 15078649416 17752168816 20104865888 26628253224 30157298832 35504337632 40209731776 52146995897 53256506448 60314597664 71008675264 104293991794 106513012896 120629195328 156440987691 208587983588 213026025792 312881975382 417175967176 625763950764 834351934352 1251527901528 1668703868704 2503055803056 3337407737408 5006111606112 10012223212224