Search a number
-
+
11100011013 = 347213435003
BaseRepresentation
bin10100101011001110…
…01011101000000101
31001122120121222120000
422111213023220011
5140213100323023
65033235431513
7542032352100
oct122547135005
931576558500
1011100011013
114786737623
122199455599
13107b873170
147742a5737
1544e747243
hex2959cba05

11100011013 has 120 divisors (see below), whose sum is σ = 21259754208. Its totient is φ = 5717646144.

The previous prime is 11100011011. The next prime is 11100011053. The reversal of 11100011013 is 31011000111.

It is not a de Polignac number, because 11100011013 - 21 = 11100011011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11100010986 and 11100011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100011011) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2216170 + ... + 2221172.

Almost surely, 211100011013 is an apocalyptic number.

11100011013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11100011013 is a deficient number, since it is larger than the sum of its proper divisors (10159743195).

11100011013 is a wasteful number, since it uses less digits than its factorization.

11100011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11100011013 its reverse (31011000111), we get a palindrome (42111011124).

The spelling of 11100011013 in words is "eleven billion, one hundred million, eleven thousand, thirteen".

Divisors: 1 3 7 9 13 21 27 39 43 49 63 81 91 117 129 147 189 273 301 351 387 441 559 567 637 819 903 1053 1161 1323 1677 1911 2107 2457 2709 3483 3913 3969 5003 5031 5733 6321 7371 8127 11739 15009 15093 17199 18963 24381 27391 35021 35217 45027 45279 51597 56889 65039 82173 105063 105651 135081 170667 195117 215129 245147 246519 315189 316953 405243 455273 585351 645387 735441 739557 945567 1365819 1505903 1756053 1936161 2206323 2218671 2796677 2836701 3186911 4097457 4517709 5268159 5808483 6618969 8390031 9560733 10541321 12292371 13553127 17425449 19576739 19856907 25170093 28682199 31623963 36877113 40659381 58730217 75510279 86046597 94871889 121978143 137037173 176190651 226530837 258139791 284615667 411111519 528571953 853847001 1233334557 1585715859 3700003671 11100011013