Search a number
-
+
10458221631 = 3111324378139
BaseRepresentation
bin10011011110101101…
…11100110000111111
3222222211222201000220
421233112330300333
5132404301043011
64445431552423
7520110263034
oct115726746077
928884881026
1010458221631
114487436780
12203a52b713
13ca8905430
14712d6138b
15413222506
hex26f5bcc3f

10458221631 has 16 divisors (see below), whose sum is σ = 16382110080. Its totient is φ = 5850753120.

The previous prime is 10458221611. The next prime is 10458221633. The reversal of 10458221631 is 13612285401.

It is not a de Polignac number, because 10458221631 - 27 = 10458221503 is a prime.

It is a super-2 number, since 2×104582216312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10458221592 and 10458221601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10458221633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12188641 + ... + 12189498.

It is an arithmetic number, because the mean of its divisors is an integer number (1023881880).

Almost surely, 210458221631 is an apocalyptic number.

10458221631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10458221631 is a deficient number, since it is larger than the sum of its proper divisors (5923888449).

10458221631 is a wasteful number, since it uses less digits than its factorization.

10458221631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24378166.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10458221631 in words is "ten billion, four hundred fifty-eight million, two hundred twenty-one thousand, six hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 24378139 73134417 268159529 316915807 804478587 950747421 3486073877 10458221631