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10220100220212 = 22314474993117881
BaseRepresentation
bin1001010010111000110101…
…1100010111010100110100
31100012000212100121220212020
42110232031130113110310
52314421231124021322
633423014344353140
72103243416345361
oct224561534272464
940160770556766
1010220100220212
113290358156163
121190882a757b0
1359199c84210c
14274926943468
1512acacd2d05c
hex94b8d717534

10220100220212 has 48 divisors (see below), whose sum is σ = 23868362593152. Its totient is φ = 3403635056640.

The previous prime is 10220100220207. The next prime is 10220100220273. The reversal of 10220100220212 is 21202200102201.

10220100220212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102201002202122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220100220191 and 10220100220200.

It is a congruent number.

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, 86639512 + ... + 86757392.

It is an arithmetic number, because the mean of its divisors is an integer number (497257554024).

Almost surely, 210220100220212 is an apocalyptic number.

10220100220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220100220212 is an abundant number, since it is smaller than the sum of its proper divisors (13648262372940).

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

10220100220212 is a wasteful number, since it uses less digits than its factorization.

10220100220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124328 (or 124326 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220100220212 its reverse (21202200102201), we get a palindrome (31422300322413).

The spelling of 10220100220212 in words is "ten trillion, two hundred twenty billion, one hundred million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 1447 2894 4341 4993 5788 8682 9986 14979 17364 19972 29958 59916 117881 235762 353643 471524 707286 1414572 7224871 14449742 21674613 28899484 43349226 86698452 170573807 341147614 511721421 588579833 682295228 1023442842 1177159666 1765739499 2046885684 2354319332 3531478998 7062957996 851675018351 1703350036702 2555025055053 3406700073404 5110050110106 10220100220212