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10222112222010 = 23251317948809207
BaseRepresentation
bin1001010011000000010101…
…0111100010101100111010
31100012020001120120012110100
42110300011113202230322
52314434341212101020
633423550140500230
72103344320155003
oct224600527425472
940166046505410
1010222112222010
11329119a94a967
12119114484a676
13591c3062c220
14274a77c441aa
1512ad797b1a90
hex94c055e2b3a

10222112222010 has 96 divisors (see below), whose sum is σ = 28781813773440. Its totient is φ = 2502155136384.

The previous prime is 10222112221991. The next prime is 10222112222011. The reversal of 10222112222010 is 1022221122201.

It is a happy number.

10222112222010 is a `hidden beast` number, since 10 + 22 + 211 + 222 + 201 + 0 = 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 (10222112222011) 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, 24195174 + ... + 24614033.

It is an arithmetic number, because the mean of its divisors is an integer number (299810560140).

Almost surely, 210222112222010 is an apocalyptic number.

10222112222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10222112222010 is an abundant number, since it is smaller than the sum of its proper divisors (18559701551430).

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

10222112222010 is a wasteful number, since it uses less digits than its factorization.

10222112222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48809412 (or 48809409 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222112222010 its reverse (1022221122201), we get a palindrome (11244333344211).

The spelling of 10222112222010 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 179 195 234 358 390 537 585 895 1074 1170 1611 1790 2327 2685 3222 4654 5370 6981 8055 11635 13962 16110 20943 23270 34905 41886 69810 104715 209430 48809207 97618414 146427621 244046035 292855242 439282863 488092070 634519691 732138105 878565726 1269039382 1464276210 1903559073 2196414315 3172598455 3807118146 4392828630 5710677219 6345196910 8736848053 9517795365 11421354438 17473696106 19035590730 26210544159 28553386095 43684240265 52421088318 57106772190 78631632477 87368480530 113579024689 131052720795 157263264954 227158049378 262105441590 340737074067 393158162385 567895123445 681474148134 786316324770 1022211222201 1135790246890 1703685370335 2044422444402 3407370740670 5111056111005 10222112222010