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10211210020 = 22511535471601
BaseRepresentation
bin10011000001010001…
…01011001100100100
3222100122012012210201
421200220223030210
5131403032210040
64405125400244
7511020565414
oct114050531444
928318165721
1010211210020
11436aa64250
121b8b869084
13c6969b00b
146cc222644
153eb6cda9a
hex260a2b324

10211210020 has 96 divisors (see below), whose sum is σ = 23892817536. Its totient is φ = 3634176000.

The previous prime is 10211210003. The next prime is 10211210027. The reversal of 10211210020 is 2001211201.

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 = 10211209979 and 10211210006.

It is not an unprimeable number, because it can be changed into a prime (10211210027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6377220 + ... + 6378820.

It is an arithmetic number, because the mean of its divisors is an integer number (248883516).

Almost surely, 210211210020 is an apocalyptic number.

10211210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946408768).

10211210020 is an abundant number, since it is smaller than the sum of its proper divisors (13681607516).

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

10211210020 is a wasteful number, since it uses less digits than its factorization.

10211210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2219 counting only the distinct ones).

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

Adding to 10211210020 its reverse (2001211201), we get a palindrome (12212421221).

The spelling of 10211210020 in words is "ten billion, two hundred eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 547 583 1060 1094 1166 1601 2188 2332 2735 2915 3202 5470 5830 6017 6404 8005 10940 11660 12034 16010 17611 24068 28991 30085 32020 35222 57982 60170 70444 84853 88055 115964 120340 144955 169706 176110 289910 318901 339412 352220 424265 579820 637802 848530 875747 933383 1275604 1594505 1697060 1751494 1866766 3189010 3502988 3733532 4378735 4666915 6378020 8757470 9333830 9633217 17514940 18667660 19266434 38532868 46414591 48166085 92829182 96332170 185658364 192664340 232072955 464145910 510560501 928291820 1021121002 2042242004 2552802505 5105605010 10211210020