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11030021541 = 32711118113477
BaseRepresentation
bin10100100010111000…
…01100010110100101
31001110200221011001100
422101130030112211
5140042141142131
65022255350313
7540222431130
oct122134142645
931420834040
1011030021541
114750183490
122179b22399
13106a209386
14768c87217
1544851e7e6
hex29170c5a5

11030021541 has 48 divisors (see below), whose sum is σ = 19881883008. Its totient is φ = 5724604800.

The previous prime is 11030021537. The next prime is 11030021551. The reversal of 11030021541 is 14512003011.

11030021541 is a `hidden beast` number, since 1 + 103 + 0 + 0 + 21 + 541 = 666.

It is not a de Polignac number, because 11030021541 - 22 = 11030021537 is a prime.

It is a super-2 number, since 2×110300215412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030021551) 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, 811695 + ... + 825171.

It is an arithmetic number, because the mean of its divisors is an integer number (414205896).

Almost surely, 211030021541 is an apocalyptic number.

11030021541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11030021541 is a deficient number, since it is larger than the sum of its proper divisors (8851861467).

11030021541 is a wasteful number, since it uses less digits than its factorization.

11030021541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14682 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11030021541 its reverse (14512003011), we get a palindrome (25542024552).

It can be divided in two parts, 110300 and 21541, that added together give a triangular number (131841 = T513).

The spelling of 11030021541 in words is "eleven billion, thirty million, twenty-one thousand, five hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1181 3543 8267 10629 12991 13477 24801 38973 40431 74403 90937 94339 116919 121293 148247 272811 283017 444741 818433 849051 1037729 1334223 3113187 9339561 15916337 47749011 111414359 143247033 175079707 334243077 525239121 1002729231 1225557949 1575717363 3676673847 11030021541