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102211020020 = 22579109593491
BaseRepresentation
bin101111100110001000…
…0000110010011110100
3100202211021001210112002
41133030100012103310
53133312010120040
6114542144514432
710245612223004
oct1371420062364
9322737053462
10102211020020
113a39050217a
121798631ba18
13983b8cc005
144d3896a004
1529d33d1a15
hex17cc4064f4

102211020020 has 48 divisors (see below), whose sum is σ = 219354643200. Its totient is φ = 39996478080.

The previous prime is 102211019959. The next prime is 102211020029. The reversal of 102211020020 is 20020112201.

It is a happy number.

It is a super-2 number, since 2×1022110200202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211019983 and 102211020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211020029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124526 + ... + 468965.

It is an arithmetic number, because the mean of its divisors is an integer number (4569888400).

Almost surely, 2102211020020 is an apocalyptic number.

102211020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211020020 is an abundant number, since it is smaller than the sum of its proper divisors (117143623180).

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

102211020020 is a wasteful number, since it uses less digits than its factorization.

102211020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593688 (or 593686 counting only the distinct ones).

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

Adding to 102211020020 its reverse (20020112201), we get a palindrome (122231132221).

The spelling of 102211020020 in words is "one hundred two billion, two hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 79 109 158 218 316 395 436 545 790 1090 1580 2180 8611 17222 34444 43055 86110 172220 593491 1186982 2373964 2967455 5934910 11869820 46885789 64690519 93771578 129381038 187543156 234428945 258762076 323452595 468857890 646905190 937715780 1293810380 5110551001 10221102002 20442204004 25552755005 51105510010 102211020020