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102220202100 = 22352834105229
BaseRepresentation
bin101111100110011001…
…1001000000001110100
3100202211220100021222010
41133030303020001310
53133321332431400
6114543113404220
710246053244632
oct1371463100164
9322756307863
10102220202100
113a395703875
1217989409670
1398407954b3
144d39c7a352
1529d40e7450
hex17cccc8074

102220202100 has 72 divisors (see below), whose sum is σ = 299320529760. Its totient is φ = 26930295680.

The previous prime is 102220202069. The next prime is 102220202171. The reversal of 102220202100 is 1202022201.

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

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 23 ways as a sum of consecutive naturals, for example, 2027715 + ... + 2077514.

It is an arithmetic number, because the mean of its divisors is an integer number (4157229580).

Almost surely, 2102220202100 is an apocalyptic number.

102220202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220202100 is an abundant number, since it is smaller than the sum of its proper divisors (197100327660).

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

102220202100 is a wasteful number, since it uses less digits than its factorization.

102220202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105329 (or 4105322 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102220202100 its reverse (1202022201), we get a palindrome (103422224301).

The spelling of 102220202100 in words is "one hundred two billion, two hundred twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 4105229 8210458 12315687 16420916 20526145 24631374 41052290 49262748 61578435 82104580 102630725 123156870 205261450 246313740 307892175 340734007 410522900 615784350 681468014 1022202021 1231568700 1362936028 1703670035 2044404042 3407340070 4088808084 5111010105 6814680140 8518350175 10222020210 17036700350 20444040420 25555050525 34073400700 51110101050 102220202100