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102221220020 = 22525373201437
BaseRepresentation
bin101111100110011011…
…1000000100010110100
3100202211222021000021212
41133030313000202310
53133322113020040
6114543151300552
710246065014423
oct1371467004264
9322758230255
10102221220020
113a396239627
121798981a758
139840a6090a
144d3a0632ba
1529d4248d65
hex17ccdc08b4

102221220020 has 24 divisors (see below), whose sum is σ = 214674088104. Its totient is φ = 40886673536.

The previous prime is 102221220001. The next prime is 102221220029. The reversal of 102221220020 is 20022122201.

It can be written as a sum of positive squares in 4 ways, for example, as 2752891024 + 99468328996 = 52468^2 + 315386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102221219977 and 102221220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221220029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406742 + ... + 608178.

It is an arithmetic number, because the mean of its divisors is an integer number (8944753671).

Almost surely, 2102221220020 is an apocalyptic number.

102221220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221220020 is an abundant number, since it is smaller than the sum of its proper divisors (112452868084).

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

102221220020 is a wasteful number, since it uses less digits than its factorization.

102221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226819 (or 226817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102221220020 its reverse (20022122201), we get a palindrome (122243342221).

The spelling of 102221220020 in words is "one hundred two billion, two hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 25373 50746 101492 126865 201437 253730 402874 507460 805748 1007185 2014370 4028740 5111061001 10222122002 20444244004 25555305005 51110610010 102221220020