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10203132321 = 3229374324571
BaseRepresentation
bin10011000000010011…
…10111000110100001
3222100001222211021200
421200021313012201
5131344000213241
64404240311413
7510562123314
oct114011670641
928301884250
1010203132321
114366447368
121b89012569
13c67b00405
146cb11c97b
153eab354b6
hex2602771a1

10203132321 has 48 divisors (see below), whose sum is σ = 16022909760. Its totient is φ = 6241173120.

The previous prime is 10203132299. The next prime is 10203132383. The reversal of 10203132321 is 12323130201.

10203132321 is a `hidden beast` number, since 10 + 20 + 313 + 2 + 321 = 666.

It is not a de Polignac number, because 10203132321 - 219 = 10202608033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10203132294 and 10203132303.

It is not an unprimeable number, because it can be changed into a prime (10203132521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402966 + ... + 427536.

It is an arithmetic number, because the mean of its divisors is an integer number (333810620).

Almost surely, 210203132321 is an apocalyptic number.

It is an amenable number.

10203132321 is a deficient number, since it is larger than the sum of its proper divisors (5819777439).

10203132321 is a wasteful number, since it uses less digits than its factorization.

10203132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24686 (or 24683 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10203132321 its reverse (12323130201), we get a palindrome (22526262522).

The spelling of 10203132321 in words is "ten billion, two hundred three million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 29 37 43 87 111 129 261 333 387 1073 1247 1591 3219 3741 4773 9657 11223 14319 24571 46139 73713 138417 221139 415251 712559 909127 1056553 2137677 2727381 3169659 6413031 8182143 9508977 26364683 30640037 39092461 79094049 91920111 117277383 237282147 275760333 351832149 1133681369 3401044107 10203132321