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10232130220 = 225133710110531
BaseRepresentation
bin10011000011110000…
…11110101010101100
3222102002120001220221
421201320132222230
5131423411131340
64411154021124
7511363446304
oct114170365254
928362501827
1010232130220
114380852974
121b968777a4
13c70b14230
146d0d0a604
153ed46244a
hex261e1eaac

10232130220 has 96 divisors (see below), whose sum is σ = 24003354816. Its totient is φ = 3639168000.

The previous prime is 10232130203. The next prime is 10232130241. The reversal of 10232130220 is 2203123201.

10232130220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10232130194 and 10232130203.

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, 966355 + ... + 976885.

It is an arithmetic number, because the mean of its divisors is an integer number (250034946).

Almost surely, 210232130220 is an apocalyptic number.

10232130220 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 10232130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001677408).

10232130220 is an abundant number, since it is smaller than the sum of its proper divisors (13771224596).

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

10232130220 is a wasteful number, since it uses less digits than its factorization.

10232130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10232130220 its reverse (2203123201), we get a palindrome (12435253421).

The spelling of 10232130220 in words is "ten billion, two hundred thirty-two million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 101 130 148 185 202 260 370 404 481 505 740 962 1010 1313 1924 2020 2405 2626 3737 4810 5252 6565 7474 9620 10531 13130 14948 18685 21062 26260 37370 42124 48581 52655 74740 97162 105310 136903 194324 210620 242905 273806 389647 485810 547612 684515 779294 971620 1063631 1369030 1558588 1948235 2127262 2738060 3896470 4254524 5065411 5318155 7792940 10130822 10636310 13827203 20261644 21272620 25327055 27654406 39354347 50654110 55308812 69136015 78708694 101308220 138272030 157417388 196771735 276544060 393543470 511606511 787086940 1023213022 2046426044 2558032555 5116065110 10232130220