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12101011020 = 2232579603977
BaseRepresentation
bin10110100010100011…
…01100011001001100
31011020100012001102100
423101101230121030
5144240324323040
65320434355100
7605605616340
oct132121543114
934210161370
1012101011020
11514a78375a
12241872ba90
1311ab070567
1482b1d3620
154ac574b30
hex2d146c64c

12101011020 has 72 divisors (see below), whose sum is σ = 41950175904. Its totient is φ = 2765945088.

The previous prime is 12101011019. The next prime is 12101011033. The reversal of 12101011020 is 2011010121.

It is a happy number.

It is a super-2 number, since 2×121010110202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12101010993 and 12101011011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4800729 + ... + 4803248.

It is an arithmetic number, because the mean of its divisors is an integer number (582641332).

Almost surely, 212101011020 is an apocalyptic number.

12101011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101011020 is an abundant number, since it is smaller than the sum of its proper divisors (29849164884).

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

12101011020 is a wasteful number, since it uses less digits than its factorization.

12101011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9603999 (or 9603994 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12101011020 its reverse (2011010121), we get a palindrome (14112021141).

It can be divided in two parts, 1210101 and 1020, that added together give a palindrome (1211121).

The spelling of 12101011020 in words is "twelve billion, one hundred one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9603977 19207954 28811931 38415908 48019885 57623862 67227839 86435793 96039770 115247724 134455678 144059655 172871586 192079540 201683517 268911356 288119310 336139195 345743172 403367034 432178965 576238620 605050551 672278390 806734068 864357930 1008417585 1210101102 1344556780 1728715860 2016835170 2420202204 3025252755 4033670340 6050505510 12101011020