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20121011020 = 22511194813639
BaseRepresentation
bin10010101111010011…
…100100001101001100
31220221021020021011101
4102233103210031030
5312201434323040
613124331032444
71311421525465
oct225723441514
956837207141
1020121011020
118595871430
123a9659b724
131b88796aa6
14d8c3c5d6c
157cb6c109a
hex4af4e434c

20121011020 has 48 divisors (see below), whose sum is σ = 48521491200. Its totient is φ = 6931638720.

The previous prime is 20121011017. The next prime is 20121011021. The reversal of 20121011020 is 2011012102.

It is a super-2 number, since 2×201210110202 (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 = 20121010988 and 20121011006.

It is not an unprimeable number, because it can be changed into a prime (20121011021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2402640 + ... + 2410999.

It is an arithmetic number, because the mean of its divisors is an integer number (1010864400).

Almost surely, 220121011020 is an apocalyptic number.

20121011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121011020 is an abundant number, since it is smaller than the sum of its proper divisors (28400480180).

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

20121011020 is a wasteful number, since it uses less digits than its factorization.

20121011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813678 (or 4813676 counting only the distinct ones).

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

Adding to 20121011020 its reverse (2011012102), we get a palindrome (22132023122).

The spelling of 20121011020 in words is "twenty billion, one hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 4813639 9627278 19254556 24068195 48136390 52950029 91459141 96272780 105900058 182918282 211800116 264750145 365836564 457295705 529500290 914591410 1006050551 1059000580 1829182820 2012101102 4024202204 5030252755 10060505510 20121011020