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102010111220 = 225109337313873
BaseRepresentation
bin101111100000001000…
…1101100010011110100
3100202022021000120110102
41133000101230103310
53132404042024340
6114510210413232
710240622432033
oct1370021542364
9322267016412
10102010111220
113a298059446
121792ab91218
1398090b7174
144d19dcc71a
1529c0948215
hex17c046c4f4

102010111220 has 48 divisors (see below), whose sum is σ = 216266247120. Its totient is φ = 40414795776.

The previous prime is 102010111193. The next prime is 102010111261. The reversal of 102010111220 is 22111010201.

It can be written as a sum of positive squares in 8 ways, for example, as 12228378724 + 89781732496 = 110582^2 + 299636^2 .

It is a super-2 number, since 2×1020101112202 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7346204 + ... + 7360076.

It is an arithmetic number, because the mean of its divisors is an integer number (4505546815).

Almost surely, 2102010111220 is an apocalyptic number.

102010111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010111220 is an abundant number, since it is smaller than the sum of its proper divisors (114256135900).

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

102010111220 is a wasteful number, since it uses less digits than its factorization.

102010111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17364 (or 17362 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102010111220 its reverse (22111010201), we get a palindrome (124121121421).

The spelling of 102010111220 in words is "one hundred two billion, ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 3373 6746 13492 13873 16865 27746 33730 55492 67460 69365 138730 277460 367657 735314 1470628 1512157 1838285 3024314 3676570 6048628 7353140 7560785 15121570 30243140 46793629 93587258 187174516 233968145 467936290 935872580 5100505561 10201011122 20402022244 25502527805 51005055610 102010111220