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102022102201020 = 223512794093324811
BaseRepresentation
bin10111001100100111011111…
…001010010011001010111100
3111101020012212201100112011120
4113030213133022103022330
5101333012231130413040
61000552150130350540
730326565541226211
oct2714473712231274
9441205781315146
10102022102201020
112a56436aa887a1
12b53869772b450
1344c0848763871
141b29c78c47b08
15bbdc67d677d0
hex5cc9df2932bc

102022102201020 has 96 divisors (see below), whose sum is σ = 285955961733120. Its totient is φ = 27177897288960.

The previous prime is 102022102201013. The next prime is 102022102201031. The reversal of 102022102201020 is 20102201220201.

It is a super-3 number, since 3×1020221022010203 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

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, 313934415 + ... + 314259225.

It is an arithmetic number, because the mean of its divisors is an integer number (2978707934720).

Almost surely, 2102022102201020 is an apocalyptic number.

102022102201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022102201020 is an abundant number, since it is smaller than the sum of its proper divisors (183933859532100).

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

102022102201020 is a wasteful number, since it uses less digits than its factorization.

102022102201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330195 (or 330193 counting only the distinct ones).

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

Adding to 102022102201020 its reverse (20102201220201), we get a palindrome (122124303421221).

The spelling of 102022102201020 in words is "one hundred two trillion, twenty-two billion, one hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1279 2558 3837 4093 5116 6395 7674 8186 12279 12790 15348 16372 19185 20465 24558 25580 38370 40930 49116 61395 76740 81860 122790 245580 324811 649622 974433 1299244 1624055 1948866 3248110 3897732 4872165 5234947 6496220 9744330 10469894 15704841 19488660 20939788 26174735 31409682 52349470 62819364 78524205 104698940 157048410 314096820 415433269 830866538 1246299807 1329451423 1661733076 2077166345 2492599614 2658902846 3988354269 4154332690 4985199228 5317805692 6231499035 6647257115 7976708538 8308665380 12462998070 13294514230 15953417076 19941771345 24925996140 26589028460 39883542690 79767085380 1700368370017 3400736740034 5101105110051 6801473480068 8501841850085 10202210220102 17003683700170 20404420440204 25505525550255 34007367400340 51011051100510 102022102201020