Search a number
-
+
11016345330 = 2335272914951
BaseRepresentation
bin10100100001010000…
…00001011011110010
31001102202012022211000
422100220001123302
5140030141022310
65021050302430
7536665250604
oct122050013362
931382168730
1011016345330
114743492331
122175427a16
13106742b443
14767127174
1544721c4c0
hex290a016f2

11016345330 has 64 divisors (see below), whose sum is σ = 29389651200. Its totient is φ = 2936419200.

The previous prime is 11016345299. The next prime is 11016345343. The reversal of 11016345330 is 3354361011.

11016345330 is a `hidden beast` number, since 110 + 16 + 3 + 4 + 533 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11016345294 and 11016345303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729355 + ... + 744305.

It is an arithmetic number, because the mean of its divisors is an integer number (459213300).

Almost surely, 211016345330 is an apocalyptic number.

11016345330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11016345330 is an abundant number, since it is smaller than the sum of its proper divisors (18373305870).

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

11016345330 is a wasteful number, since it uses less digits than its factorization.

11016345330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17696 (or 17690 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 11016345330 in words is "eleven billion, sixteen million, three hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2729 5458 8187 13645 14951 16374 24561 27290 29902 40935 44853 49122 73683 74755 81870 89706 122805 134559 147366 149510 224265 245610 269118 368415 403677 448530 672795 736830 807354 1345590 2018385 4036770 40801279 81602558 122403837 204006395 244807674 367211511 408012790 612019185 734423022 1101634533 1224038370 1836057555 2203269066 3672115110 5508172665 11016345330