Search a number
-
+
11313220102002 = 2337213328891799
BaseRepresentation
bin1010010010100001000001…
…1101110010011101110010
31111001112101202112110201000
42210220100131302131302
52440323433321231002
640021115505222430
72245232066133300
oct244502035623562
944045352473630
1011313220102002
113671a008a3545
1213286b2631a16
13640aa80c9610
142b17c4379270
1514943979561c
hexa4a10772772

11313220102002 has 96 divisors (see below), whose sum is σ = 31494678768000. Its totient is φ = 2983706391456.

The previous prime is 11313220101961. The next prime is 11313220102039. The reversal of 11313220102002 is 20020102231311.

11313220102002 is a `hidden beast` number, since 1 + 131 + 322 + 0 + 10 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164411502 + ... + 164480297.

It is an arithmetic number, because the mean of its divisors is an integer number (328069570500).

Almost surely, 211313220102002 is an apocalyptic number.

11313220102002 is an abundant number, since it is smaller than the sum of its proper divisors (20181458665998).

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

11313220102002 is a wasteful number, since it uses less digits than its factorization.

11313220102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328891837 (or 328891824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11313220102002 its reverse (20020102231311), we get a palindrome (31333322333313).

The spelling of 11313220102002 in words is "eleven trillion, three hundred thirteen billion, two hundred twenty million, one hundred two thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 702 819 882 1274 1323 1638 1911 2457 2646 3822 4914 5733 11466 17199 34398 328891799 657783598 986675397 1973350794 2302242593 2960026191 4275593387 4604485186 5920052382 6906727779 8551186774 8880078573 12826780161 13813455558 16115698151 17760157146 20720183337 25653560322 29929153709 32231396302 38480340483 41440366674 48347094453 59858307418 62160550011 76960680966 89787461127 96694188906 115441021449 124321100022 145041283359 179574922254 209504075963 230882042898 269362383381 290082566718 419008151926 435123850077 538724766762 628512227889 808087150143 870247700154 1257024455778 1616174300286 1885536683667 3771073367334 5656610051001 11313220102002