Search a number
-
+
10413105054 = 23112359233499
BaseRepresentation
bin10011011001010101…
…10101111110011110
3222212201002112201120
421230222311332132
5132311223330204
64441140551410
7516021634602
oct115452657636
928781075646
1010413105054
114463a20a50
1220273b2566
13c9c469a31
1470ad79502
1540e2ae6d9
hex26cab5f9e

10413105054 has 128 divisors (see below), whose sum is σ = 24261120000. Its totient is φ = 2948478720.

The previous prime is 10413105041. The next prime is 10413105067. The reversal of 10413105054 is 45050131401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10413105041) and next prime (10413105067).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20867697 + ... + 20868195.

It is an arithmetic number, because the mean of its divisors is an integer number (189540000).

Almost surely, 210413105054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413105054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130560000).

10413105054 is an abundant number, since it is smaller than the sum of its proper divisors (13848014946).

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

10413105054 is a wasteful number, since it uses less digits than its factorization.

10413105054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10413105054 its reverse (45050131401), we get a palindrome (55463236455).

The spelling of 10413105054 in words is "ten billion, four hundred thirteen million, one hundred five thousand, fifty-four".

Divisors: 1 2 3 6 11 22 23 33 46 59 66 69 118 138 177 233 253 354 466 499 506 649 699 759 998 1298 1357 1398 1497 1518 1947 2563 2714 2994 3894 4071 5126 5359 5489 7689 8142 10718 10978 11477 13747 14927 15378 16077 16467 22954 27494 29441 29854 32154 32934 34431 41241 44781 58882 58949 68862 82482 88323 89562 116267 117898 126247 151217 176646 176847 232534 252494 302434 316181 323851 348801 353694 378741 453651 632362 647702 677143 697602 757482 907302 948543 971553 1278937 1354286 1897086 1943106 2031429 2557874 2674141 3477991 3836811 4062858 5348282 6859753 6955982 7448573 7673622 8022423 10433973 13719506 14897146 16044846 20579259 20867946 22345719 29415551 41158518 44691438 58831102 75457283 88246653 150914566 157774319 176493306 226371849 315548638 452743698 473322957 946645914 1735517509 3471035018 5206552527 10413105054