Search a number
-
+
10302231031113 = 377322388334129
BaseRepresentation
bin1001010111101010110011…
…0100100010110101001001
31100110212212012020101220110
42111322230310202311021
52322242432120443423
633524440220544533
72112211613620560
oct225725464426511
940425765211813
1010302231031113
113312173924a8a
1211a47843b2149
1359965b261b88
142788b86a8bd7
1512ceb83ed193
hex95eacd22d49

10302231031113 has 64 divisors (see below), whose sum is σ = 16003621437440. Its totient is φ = 5773592659968.

The previous prime is 10302231031097. The next prime is 10302231031151. The reversal of 10302231031113 is 31113013220301.

It is a happy number.

10302231031113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10302231031113 - 24 = 10302231031097 is a prime.

It is a super-2 number, since 2×103022310311132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10302231031113.

It is not an unprimeable number, because it can be changed into a prime (10302231032113) 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, 301844433 + ... + 301878561.

It is an arithmetic number, because the mean of its divisors is an integer number (250056584960).

Almost surely, 210302231031113 is an apocalyptic number.

It is an amenable number.

10302231031113 is a deficient number, since it is larger than the sum of its proper divisors (5701390406327).

10302231031113 is a wasteful number, since it uses less digits than its factorization.

10302231031113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35318.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10302231031113 its reverse (31113013220301), we get a palindrome (41415244251414).

The spelling of 10302231031113 in words is "ten trillion, three hundred two billion, two hundred thirty-one million, thirty-one thousand, one hundred thirteen".

Divisors: 1 3 7 21 73 219 223 511 669 883 1533 1561 2649 4683 6181 16279 18543 34129 48837 64459 102387 113953 193377 196909 238903 341859 451213 590727 716709 1353639 1378363 2491417 4135089 7474251 7610767 14374357 17439919 22832301 30135907 43123071 52319757 53275369 90407721 100620499 159826107 210951349 301861497 555585991 632854047 1666757973 2199921211 3889101937 6599763633 6720307261 11667305811 15399448477 20160921783 46198345431 47042150827 141126452481 490582430053 1471747290159 3434077010371 10302231031113