Search a number
-
+
99243110001105 = 32571723805773637
BaseRepresentation
bin10110100100001011010110…
…010100010110100111010001
3111000101112210222020202021200
4112210023112110112213101
5101001444342130013410
6551023353315141413
726622035532251520
oct2644132624264721
9430345728222250
1099243110001105
1129692848373374
12b169b908a4869
13434b77b669085
141a7156c0d64b7
15b7181b0363c0
hex5a42d65169d1

99243110001105 has 96 divisors (see below), whose sum is σ = 217210788048384. Its totient is φ = 40843054061568.

The previous prime is 99243110001047. The next prime is 99243110001131. The reversal of 99243110001105 is 50110001134299.

99243110001105 is a `hidden beast` number, since 9 + 9 + 2 + 431 + 100 + 0 + 110 + 5 = 666.

It is not a de Polignac number, because 99243110001105 - 210 = 99243110000081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 99243110001105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402763654 + ... + 403009983.

It is an arithmetic number, because the mean of its divisors is an integer number (2262612375504).

Almost surely, 299243110001105 is an apocalyptic number.

It is an amenable number.

99243110001105 is an abundant number, since it is smaller than the sum of its proper divisors (117967678047279).

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

99243110001105 is a wasteful number, since it uses less digits than its factorization.

99243110001105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805773695 (or 805773692 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 99243110001105 in words is "ninety-nine trillion, two hundred forty-three billion, one hundred ten million, one thousand, one hundred five".

Divisors: 1 3 5 7 9 15 17 21 23 35 45 51 63 69 85 105 115 119 153 161 207 255 315 345 357 391 483 595 765 805 1035 1071 1173 1449 1785 1955 2415 2737 3519 5355 5865 7245 8211 13685 17595 24633 41055 123165 805773637 2417320911 4028868185 5640415459 7251962733 12086604555 13698151829 16921246377 18532793651 28202077295 36259813665 41094455487 50763739131 55598380953 68490759145 84606231885 92663968255 95887062803 123283366461 129729555557 166795142859 205472277435 253818695655 277991904765 287661188409 315057492067 389188666671 479435314015 616416832305 648647777785 833975714295 862983565227 945172476201 1167566000013 1438305942045 1575287460335 1945943333355 2205402444469 2835517428603 4314917826135 4725862381005 5837830000065 6616207333407 11027012222345 14177587143015 19848622000221 33081036667035 99243110001105