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102220202220 = 22356167416851
BaseRepresentation
bin101111100110011001…
…1001000000011101100
3100202211220100022010120
41133030303020003230
53133321332432340
6114543113404540
710246053245163
oct1371463100354
9322756308116
10102220202220
113a395703974
1217989409750
139840795576
144d39c7a3da
1529d40e74d0
hex17cccc80ec

102220202220 has 96 divisors (see below), whose sum is σ = 295251269376. Its totient is φ = 26411616000.

The previous prime is 102220202209. The next prime is 102220202257. The reversal of 102220202220 is 22202022201.

102220202220 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102220202220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36795 + ... + 453645.

It is an arithmetic number, because the mean of its divisors is an integer number (3075534056).

Almost surely, 2102220202220 is an apocalyptic number.

102220202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147625634688).

102220202220 is an abundant number, since it is smaller than the sum of its proper divisors (193031067156).

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

102220202220 is a wasteful number, since it uses less digits than its factorization.

102220202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416991 (or 416989 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 102220202220 its reverse (22202022201), we get a palindrome (124422224421).

The spelling of 102220202220 in words is "one hundred two billion, two hundred twenty million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 67 122 134 183 201 244 268 305 335 366 402 610 670 732 804 915 1005 1220 1340 1830 2010 3660 4020 4087 8174 12261 16348 20435 24522 40870 49044 61305 81740 122610 245220 416851 833702 1250553 1667404 2084255 2501106 4168510 5002212 6252765 8337020 12505530 25011060 25427911 27929017 50855822 55858034 76283733 83787051 101711644 111716068 127139555 139645085 152567466 167574102 254279110 279290170 305134932 335148204 381418665 418935255 508558220 558580340 762837330 837870510 1525674660 1675741020 1703670037 3407340074 5111010111 6814680148 8518350185 10222020222 17036700370 20444040444 25555050555 34073400740 51110101110 102220202220