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10012122212220 = 22325611237737147
BaseRepresentation
bin1001000110110010000011…
…1111001110011101111100
31022110011001000022102211100
42101230200333032131330
52303014311241242340
633143301102053100
72052231502425012
oct221544077163574
938404030272740
1010012122212220
113210131a78527
1211584bb57a190
135781a670cb6b
142688370808b2
151256892a4830
hex91b20fce77c

10012122212220 has 144 divisors (see below), whose sum is σ = 30892970410848. Its totient is φ = 2624003873280.

The previous prime is 10012122212203. The next prime is 10012122212231. The reversal of 10012122212220 is 2221222121001.

It is a happy number.

10012122212220 is a `hidden beast` number, since 10 + 0 + 1 + 212 + 221 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10012122212193 and 10012122212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13213687 + ... + 13950833.

It is an arithmetic number, because the mean of its divisors is an integer number (214534516742).

Almost surely, 210012122212220 is an apocalyptic number.

10012122212220 is a gapful number since it is divisible by the number (10) 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 10012122212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446485205424).

10012122212220 is an abundant number, since it is smaller than the sum of its proper divisors (20880848198628).

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

10012122212220 is a wasteful number, since it uses less digits than its factorization.

10012122212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738460 (or 738455 counting only the distinct ones).

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

Adding to 10012122212220 its reverse (2221222121001), we get a palindrome (12233344333221).

The spelling of 10012122212220 in words is "ten trillion, twelve billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1237 1830 2196 2474 2745 3660 3711 4948 5490 6185 7422 10980 11133 12370 14844 18555 22266 24740 37110 44532 55665 74220 75457 111330 150914 222660 226371 301828 377285 452742 679113 737147 754570 905484 1131855 1358226 1474294 1509140 2211441 2263710 2716452 2948588 3395565 3685735 4422882 4527420 6634323 6791130 7371470 8845764 11057205 13268646 13582260 14742940 22114410 26537292 33171615 44228820 44965967 66343230 89931934 132686460 134897901 179863868 224829835 269795802 404693703 449659670 539591604 674489505 809387406 899319340 911850839 1348979010 1618774812 1823701678 2023468515 2697958020 2735552517 3647403356 4046937030 4559254195 5471105034 8093874060 8206657551 9118508390 10942210068 13677762585 16413315102 18237016780 27355525170 32826630204 41033287755 54711050340 55622901179 82066575510 111245802358 164133151020 166868703537 222491604716 278114505895 333737407074 500606110611 556229011790 667474814148 834343517685 1001212221222 1112458023580 1668687035370 2002424442444 2503030553055 3337374070740 5006061106110 10012122212220