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10220010120012 = 22371157171934689
BaseRepresentation
bin1001010010111000100000…
…0100101010001101001100
31100012000122002002100121210
42110232020010222031030
52314421040042320022
633423001405254420
72103241243454520
oct224561004521514
940160562070553
1010220010120012
113290311306590
121190858864410
13591986c866a4
142749189abd80
1512aca4e81a0c
hex94b8812a34c

10220010120012 has 96 divisors (see below), whose sum is σ = 29736154344960. Its totient is φ = 2654082385920.

The previous prime is 10220010119993. The next prime is 10220010120029. The reversal of 10220010120012 is 21002101002201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10220010120012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4315164 + ... + 6249852.

It is an arithmetic number, because the mean of its divisors is an integer number (309751607760).

Almost surely, 210220010120012 is an apocalyptic number.

10220010120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220010120012 is an abundant number, since it is smaller than the sum of its proper divisors (19516144224948).

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

10220010120012 is a wasteful number, since it uses less digits than its factorization.

10220010120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940431 (or 1940429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220010120012 its reverse (21002101002201), we get a palindrome (31222111122213).

The spelling of 10220010120012 in words is "ten trillion, two hundred twenty billion, ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 5717 11434 17151 22868 34302 40019 62887 68604 80038 120057 125774 160076 188661 240114 251548 377322 440209 480228 754644 880418 1320627 1760836 1934689 2641254 3869378 5282508 5804067 7738756 11608134 13542823 21281579 23216268 27085646 40628469 42563158 54171292 63844737 81256938 85126316 127689474 148971053 162513876 255378948 297942106 446913159 595884212 893826318 1787652636 11060617013 22121234026 33181851039 44242468052 66363702078 77424319091 121666787143 132727404156 154848638182 232272957273 243333574286 309697276364 365000361429 464545914546 486667148572 730000722858 851667510001 929091829092 1460001445716 1703335020002 2555002530003 3406670040004 5110005060006 10220010120012