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10220210100012 = 223112112291602389
BaseRepresentation
bin1001010010111001001111…
…1111100001011100101100
31100012001011000101101121110
42110232103333201130230
52314421442241200022
633423033311432020
72103246222326553
oct224562377413454
940161130341543
1010220210100012
113290404185510
1211908b3825610
135919b9534853
14274937386d9a
1512acb77d500c
hex94b93fe172c

10220210100012 has 96 divisors (see below), whose sum is σ = 26252532230400. Its totient is φ = 3068893497600.

The previous prime is 10220210099933. The next prime is 10220210100047. The reversal of 10220210100012 is 21000101202201.

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

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, 5576914 + ... + 7179302.

It is an arithmetic number, because the mean of its divisors is an integer number (273463877400).

Almost surely, 210220210100012 is an apocalyptic number.

10220210100012 is a gapful number since it is divisible by the number (12) 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 10220210100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126266115200).

10220210100012 is an abundant number, since it is smaller than the sum of its proper divisors (16032322130388).

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

10220210100012 is a wasteful number, since it uses less digits than its factorization.

10220210100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602847 (or 1602845 counting only the distinct ones).

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

Adding to 10220210100012 its reverse (21000101202201), we get a palindrome (31220311302213).

The spelling of 10220210100012 in words is "ten trillion, two hundred twenty billion, two hundred ten million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 229 422 458 633 687 844 916 1266 1374 2321 2519 2532 2748 4642 5038 6963 7557 9284 10076 13926 15114 27852 30228 48319 96638 144957 193276 289914 531509 579828 1063018 1594527 1602389 2126036 3189054 3204778 4807167 6378108 6409556 9614334 17626279 19228668 35252558 52878837 70505116 105757674 211515348 338104079 366947081 676208158 733894162 1014312237 1100841243 1352416316 1467788324 2028624474 2201682486 3719144869 4036417891 4057248948 4403364972 7438289738 8072835782 11157434607 12109253673 14876579476 16145671564 22314869214 24218507346 44629738428 48437014692 77425834091 154851668182 232277502273 309703336364 464555004546 851684175001 929110009092 1703368350002 2555052525003 3406736700004 5110105050006 10220210100012