Search a number
-
+
10110000998864 = 2413731315082691
BaseRepresentation
bin1001001100011110101100…
…0001001010100111010000
31022210111200100111222101102
42103013223001022213100
52311120240223430424
633300245332123532
72062265151405014
oct223075301124720
938714610458342
1010110000998864
113248699aa6638
121173476a665a8
135844a4914c70
1426d4804d2544
15127eb71867ae
hex931eb04a9d0

10110000998864 has 80 divisors (see below), whose sum is σ = 21547117187904. Its totient is φ = 4567101926400.

The previous prime is 10110000998863. The next prime is 10110000998947. The reversal of 10110000998864 is 46889900001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110000998863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552242 + ... + 4530449.

Almost surely, 210110000998864 is an apocalyptic number.

It is an amenable number.

10110000998864 is an abundant number, since it is smaller than the sum of its proper divisors (11437116189040).

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

10110000998864 is a wasteful number, since it uses less digits than its factorization.

10110000998864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082916 (or 5082910 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 47.

Adding to 10110000998864 its reverse (46889900001101), we get a palindrome (56999900999965).

The spelling of 10110000998864 in words is "ten trillion, one hundred ten billion, nine hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 73 104 131 146 208 262 292 524 584 949 1048 1168 1703 1898 2096 3406 3796 6812 7592 9563 13624 15184 19126 27248 38252 76504 124319 153008 248638 497276 994552 1989104 5082691 10165382 20330764 40661528 66074983 81323056 132149966 264299932 371036443 528599864 665832521 742072886 1057199728 1331665042 1484145772 2663330084 2968291544 4823473759 5326660168 5936583088 8655822773 9646947518 10653320336 17311645546 19293895036 34623291092 38587790072 48605774033 69246582184 77175580144 97211548066 138493164368 194423096132 388846192264 631875062429 777692384528 1263750124858 2527500249716 5055000499432 10110000998864