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10132041204 = 22321273596173
BaseRepresentation
bin10010110111110101…
…01010110111110100
3222011010020000121100
421123322222313310
5131222300304304
64353220450100
7506036633505
oct113372526764
928133200540
1010132041204
11432a30057a
121b69249930
13c5616c06c
146c18d4bac
153e4791439
hex25beaadf4

10132041204 has 72 divisors (see below), whose sum is σ = 25889310720. Its totient is φ = 3340878912.

The previous prime is 10132041203. The next prime is 10132041221. The reversal of 10132041204 is 40214023101.

10132041204 is a `hidden beast` number, since 101 + 320 + 41 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132041203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638262 + ... + 1644434.

It is an arithmetic number, because the mean of its divisors is an integer number (359573760).

Almost surely, 210132041204 is an apocalyptic number.

It is an amenable number.

10132041204 is an abundant number, since it is smaller than the sum of its proper divisors (15757269516).

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

10132041204 is a wasteful number, since it uses less digits than its factorization.

10132041204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10132041204 its reverse (40214023101), we get a palindrome (50346064305).

The spelling of 10132041204 in words is "ten billion, one hundred thirty-two million, forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 359 381 508 718 762 1077 1143 1436 1524 2154 2286 3231 4308 4572 6173 6462 12346 12924 18519 24692 37038 45593 55557 74076 91186 111114 136779 182372 222228 273558 410337 547116 783971 820674 1567942 1641348 2216107 2351913 3135884 4432214 4703826 6648321 7055739 8864428 9407652 13296642 14111478 19944963 26593284 28222956 39889926 79779852 281445589 562891178 844336767 1125782356 1688673534 2533010301 3377347068 5066020602 10132041204