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10203312024321 = 3132343829731883
BaseRepresentation
bin1001010001111010010011…
…0010011110101100000001
31100010102112100200012120020
42110132210302132230001
52314132340334234241
633411200431204053
72102110404134013
oct224364462365401
940112470605506
1010203312024321
1132842227020a9
121189578676629
135902256a9ab0
14273bb303a1b3
1512a629042b66
hex947a4c9eb01

10203312024321 has 64 divisors (see below), whose sum is σ = 15645814474752. Its totient is φ = 5865398364672.

The previous prime is 10203312024307. The next prime is 10203312024383. The reversal of 10203312024321 is 12342021330201.

It is not a de Polignac number, because 10203312024321 - 229 = 10202775153409 is a prime.

It is a super-2 number, since 2×102033120243212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10203312024291 and 10203312024300.

It is not an unprimeable number, because it can be changed into a prime (10203312024221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320007646 + ... + 320039528.

It is an arithmetic number, because the mean of its divisors is an integer number (244465851168).

Almost surely, 210203312024321 is an apocalyptic number.

It is an amenable number.

10203312024321 is a deficient number, since it is larger than the sum of its proper divisors (5442502450431).

10203312024321 is a wasteful number, since it uses less digits than its factorization.

10203312024321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40262.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10203312024321 its reverse (12342021330201), we get a palindrome (22545333354522).

The spelling of 10203312024321 in words is "ten trillion, two hundred three billion, three hundred twelve million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 13 23 39 43 69 129 299 559 897 989 1677 2967 8297 12857 24891 31883 38571 95649 107861 190831 323583 356771 414479 572493 733309 1070313 1243437 1370969 2199927 2480803 4112907 4638023 7442409 8205733 9533017 13914069 17822597 24617199 28599051 31532287 53467791 94596861 106674529 264533251 320023587 409919731 793599753 1229759193 3438932263 6084264773 10316796789 11374929793 18252794319 34124789379 79095442049 147874087309 237286326147 261623385239 443622261927 784870155717 3401104008107 10203312024321