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12201101020 = 2251935216067
BaseRepresentation
bin10110101110011111…
…00000011011011100
31011111022112011002101
423113033200123130
5144441440213040
65334411534444
7611232435043
oct132717403334
934438464071
1012201101020
1151a1226869
12244615a424
1311c5a16004
1483a60955a
154b624609a
hex2d73e06dc

12201101020 has 48 divisors (see below), whose sum is σ = 25808757408. Its totient is φ = 4845035520.

The previous prime is 12201100987. The next prime is 12201101027. The reversal of 12201101020 is 2010110221.

It is a super-2 number, since 2×122011010202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12201100988 and 12201101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008027 + ... + 2014093.

It is an arithmetic number, because the mean of its divisors is an integer number (537682446).

Almost surely, 212201101020 is an apocalyptic number.

12201101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201101020 is an abundant number, since it is smaller than the sum of its proper divisors (13607656388).

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

12201101020 is a wasteful number, since it uses less digits than its factorization.

12201101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12201101020 its reverse (2010110221), we get a palindrome (14211211241).

The spelling of 12201101020 in words is "twelve billion, two hundred one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 521 772 965 1042 1930 2084 2605 3860 5210 6067 10420 12134 24268 30335 60670 100553 121340 201106 402212 502765 1005530 1170931 2011060 2341862 3160907 4683724 5854655 6321814 11709310 12643628 15804535 23418620 31609070 63218140 610055051 1220110102 2440220204 3050275255 6100550510 12201101020