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10210011220020 = 22351936724403679
BaseRepresentation
bin1001010010010011010000…
…0101111000100000110100
31100011001211020101121102110
42110210310011320200310
52314240100333020040
633414225302211020
72102435411303553
oct224446405704064
940131736347373
1010210011220020
113287050182a77
12118a928123a70
13590a52592b11
1427424aa53d9a
1512a8bc23e980
hex94934178834

10210011220020 has 96 divisors (see below), whose sum is σ = 30174662246400. Its totient is φ = 2572342890624.

The previous prime is 10210011219953. The next prime is 10210011220037. The reversal of 10210011220020 is 2002211001201.

It is a super-2 number, since 2×102100112200202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10210011219978 and 10210011220005.

It is a congruent number.

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, 11783460 + ... + 12620219.

It is an arithmetic number, because the mean of its divisors is an integer number (314319398400).

Almost surely, 210210011220020 is an apocalyptic number.

10210011220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210011220020 is an abundant number, since it is smaller than the sum of its proper divisors (19964651026380).

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

10210011220020 is a wasteful number, since it uses less digits than its factorization.

10210011220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24404077 (or 24404075 counting only the distinct ones).

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

Adding to 10210011220020 its reverse (2002211001201), we get a palindrome (12212222221221).

The spelling of 10210011220020 in words is "ten trillion, two hundred ten billion, eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 367 380 570 734 1101 1140 1468 1835 2202 3670 4404 5505 6973 7340 11010 13946 20919 22020 27892 34865 41838 69730 83676 104595 139460 209190 418380 24403679 48807358 73211037 97614716 122018395 146422074 244036790 292844148 366055185 463669901 488073580 732110370 927339802 1391009703 1464220740 1854679604 2318349505 2782019406 4636699010 5564038812 6955048515 8956150193 9273398020 13910097030 17912300386 26868450579 27820194060 35824600772 44780750965 53736901158 89561501930 107473802316 134342252895 170166853667 179123003860 268684505790 340333707334 510500561001 537369011580 680667414668 850834268335 1021001122002 1701668536670 2042002244004 2552502805005 3403337073340 5105005610010 10210011220020