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10232321140 = 22529371573037
BaseRepresentation
bin10011000011110010…
…01101010001110100
3222102002220202211001
421201321031101310
5131423433234030
64411202053044
7511365203026
oct114171152164
928362822731
1010232321140
114380973358
121b9694a184
13c70b800c2
146d0d5a016
153ed49dcca
hex261e4d474

10232321140 has 96 divisors (see below), whose sum is σ = 22982591520. Its totient is φ = 3819239424.

The previous prime is 10232321117. The next prime is 10232321171. The reversal of 10232321140 is 4112323201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 195888016 + 10036433124 = 13996^2 + 100182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3367702 + ... + 3370738.

It is an arithmetic number, because the mean of its divisors is an integer number (239401995).

Almost surely, 210232321140 is an apocalyptic number.

10232321140 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 10232321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491295760).

10232321140 is an abundant number, since it is smaller than the sum of its proper divisors (12750270380).

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

10232321140 is a wasteful number, since it uses less digits than its factorization.

10232321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10232321140 its reverse (4112323201), we get a palindrome (14344644341).

The spelling of 10232321140 in words is "ten billion, two hundred thirty-two million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 157 185 290 314 370 580 628 740 785 1073 1570 2146 3037 3140 4292 4553 5365 5809 6074 9106 10730 11618 12148 15185 18212 21460 22765 23236 29045 30370 45530 58090 60740 88073 91060 112369 116180 168461 176146 224738 336922 352292 440365 449476 476809 561845 673844 842305 880730 953618 1123690 1684610 1761460 1907236 2247380 2384045 3258701 3369220 4768090 6517402 9536180 13034804 13827461 16293505 17641933 27654922 32587010 35283866 55309844 65174020 69137305 70567732 88209665 138274610 176419330 276549220 352838660 511616057 1023232114 2046464228 2558080285 5116160570 10232321140