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10212102120020 = 2258370186310169
BaseRepresentation
bin1001010010011011000010…
…1110000010001001010100
31100011021012221210100000012
42110212300232002021110
52314303341120320040
633415212553335352
72102541260540123
oct224466056021124
940137187710005
1010212102120020
113287a234660a9
12118b210407558
13590cc6815958
142743a8611aba
1512a990aaa865
hex949b0b82254

10212102120020 has 96 divisors (see below), whose sum is σ = 21762079073280. Its totient is φ = 4024803507200.

The previous prime is 10212102120001. The next prime is 10212102120041. The reversal of 10212102120020 is 2002120121201.

It is a junction number, because it is equal to n+sod(n) for n = 10212102119977 and 10212102120004.

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 31 ways as a sum of consecutive naturals, for example, 1004233496 + ... + 1004243664.

It is an arithmetic number, because the mean of its divisors is an integer number (226688323680).

Almost surely, 210212102120020 is an apocalyptic number.

10212102120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212102120020 is an abundant number, since it is smaller than the sum of its proper divisors (11549976953260).

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

10212102120020 is a wasteful number, since it uses less digits than its factorization.

10212102120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10212102120020 its reverse (2002120121201), we get a palindrome (12214222241221).

The spelling of 10212102120020 in words is "ten trillion, two hundred twelve billion, one hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 83 166 332 415 701 830 863 1402 1660 1726 2804 3452 3505 4315 7010 8630 10169 14020 17260 20338 40676 50845 58183 71629 101690 116366 143258 203380 232732 286516 290915 358145 581830 604963 716290 844027 1163660 1209926 1432580 1688054 2419852 3024815 3376108 4220135 6049630 7128469 8440270 8775847 12099260 14256938 16880540 17551694 28513876 35103388 35642345 43879235 50211929 71284690 87758470 100423858 142569380 175516940 200847716 251059645 502119290 591662927 728395301 1004238580 1183325854 1456790602 2366651708 2913581204 2958314635 3641976505 5916629270 6151868747 7283953010 11833258540 12303737494 14567906020 24607474988 30759343735 61518687470 123037374940 510605106001 1021210212002 2042420424004 2553025530005 5106051060010 10212102120020