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10220210000210 = 2572292069334757
BaseRepresentation
bin1001010010111001001111…
…1111001001000101010010
31100012001011000012022201002
42110232103333021011102
52314421442230001320
633423033305342002
72103246221432600
oct224562377110522
940161130168632
1010220210000210
113290404117531
1211908b3797902
135919b94cb2b2
1427493735c870
1512acb77b5675
hex94b93fc9152

10220210000210 has 96 divisors (see below), whose sum is σ = 22139501560560. Its totient is φ = 3382981099008.

The previous prime is 10220210000207. The next prime is 10220210000237. The reversal of 10220210000210 is 1200001202201.

It is a happy number.

10220210000210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5494068787249 + 4726141212961 = 2343943^2 + 2173969^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220210000191 and 10220210000200.

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, 294030152 + ... + 294064908.

Almost surely, 210220210000210 is an apocalyptic number.

10220210000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220210000210 is an abundant number, since it is smaller than the sum of its proper divisors (11919291560350).

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

10220210000210 is a wasteful number, since it uses less digits than its factorization.

10220210000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55500 (or 55493 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10220210000210 its reverse (1200001202201), we get a palindrome (11420211202411).

The spelling of 10220210000210 in words is "ten trillion, two hundred twenty billion, two hundred ten million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 406 490 1015 1421 2030 2842 7105 14210 20693 34757 41386 69514 103465 144851 173785 206930 243299 289702 347570 486598 600097 724255 1007953 1013957 1200194 1216495 1448510 1703093 2015906 2027914 2432990 3000485 3406186 4200679 5039765 5069785 6000970 7055671 8401358 8515465 10079530 10139570 14111342 17030930 21003395 29404753 35278355 42006790 49389697 58809506 70556710 98779394 147023765 246948485 294047530 493896970 719226601 1438453202 3596133005 5034586207 7192266010 10069172414 20857571429 25172931035 35242103449 41715142858 50345862070 70484206898 104287857145 146003000003 176210517245 208575714290 292006000006 352421034490 730015000015 1022021000021 1460030000030 2044042000042 5110105000105 10220210000210