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221101000011 = 32233789324361
BaseRepresentation
bin1100110111101010100…
…1011000010101001011
3210010200220112112211100
43031322221120111023
512110303324000021
6245323345432443
721655042330323
oct3157251302513
9703626475740
10221101000011
118584a828891
1236a2633b723
1317b07b379b8
14a9b66c6283
155b40bc2626
hex337aa5854b

221101000011 has 48 divisors (see below), whose sum is σ = 346107228480. Its totient is φ = 135639567360.

The previous prime is 221100999991. The next prime is 221101000033. The reversal of 221101000011 is 110000101122.

It is a happy number.

It is not a de Polignac number, because 221101000011 - 26 = 221100999947 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 = 221100999957 and 221101000002.

It is not an unprimeable number, because it can be changed into a prime (221101007011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519471 + ... + 843831.

It is an arithmetic number, because the mean of its divisors is an integer number (7210567260).

Almost surely, 2221101000011 is an apocalyptic number.

221101000011 is a deficient number, since it is larger than the sum of its proper divisors (125006228469).

221101000011 is a wasteful number, since it uses less digits than its factorization.

221101000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324516 (or 324513 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221101000011 its reverse (110000101122), we get a palindrome (331101101133).

It can be divided in two parts, 22110 and 1000011, that added together give a square (1022121 = 10112).

The spelling of 221101000011 in words is "two hundred twenty-one billion, one hundred one million, eleven", and thus it is an aban number.

Divisors: 1 3 9 23 37 69 89 111 207 267 333 801 851 2047 2553 3293 6141 7659 9879 18423 29637 75739 227217 324361 681651 973083 2919249 7460303 12001357 22380909 28868129 36004071 67142727 86604387 108012213 259813161 276031211 663966967 828093633 1068120773 1991900901 2484280899 3204362319 5975702703 9613086957 24566777779 73700333337 221101000011