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102022100012220 = 22352063824221199
BaseRepresentation
bin10111001100100111011111…
…000001111100110010111100
3111101020012212120020022200220
4113030213133001330302330
5101333012230100342340
61000552150011421340
730326565513511653
oct2714473701746274
9441205776208626
10102022100012220
112a564369823273
12b538696a54850
1344c084817850b
141b29c7883819a
15bbdc67a83ed0
hex5cc9df07ccbc

102022100012220 has 48 divisors (see below), whose sum is σ = 285800349542400. Its totient is φ = 27192705764416.

The previous prime is 102022100012191. The next prime is 102022100012227. The reversal of 102022100012220 is 22210001220201.

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 102022100012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022100012227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411986820 + ... + 412234379.

It is an arithmetic number, because the mean of its divisors is an integer number (5954173948800).

Almost surely, 2102022100012220 is an apocalyptic number.

102022100012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022100012220 is an abundant number, since it is smaller than the sum of its proper divisors (183778249530180).

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

102022100012220 is a wasteful number, since it uses less digits than its factorization.

102022100012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824223274 (or 824223272 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102022100012220 its reverse (22210001220201), we get a palindrome (124232101232421).

The spelling of 102022100012220 in words is "one hundred two trillion, twenty-two billion, one hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2063 4126 6189 8252 10315 12378 20630 24756 30945 41260 61890 123780 824221199 1648442398 2472663597 3296884796 4121105995 4945327194 8242211990 9890654388 12363317985 16484423980 24726635970 49453271940 1700368333537 3400736667074 5101105000611 6801473334148 8501841667685 10202210001222 17003683335370 20404420002444 25505525003055 34007366670740 51011050006110 102022100012220