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21101524444 = 22721121368443
BaseRepresentation
bin10011101001101111…
…111011010111011100
32000110121020111201101
4103221233323113130
5321203442240234
613405514522444
71344625666300
oct235157732734
960417214641
1021101524444
118a49295700
12410aa36424
131cb3970450
1410426ddd00
15837803814
hex4e9bfb5dc

21101524444 has 108 divisors (see below), whose sum is σ = 50849648472. Its totient is φ = 7588848960.

The previous prime is 21101524439. The next prime is 21101524459. The reversal of 21101524444 is 44442510112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 274087 + ... + 342529.

Almost surely, 221101524444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101524444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25424824236).

21101524444 is an abundant number, since it is smaller than the sum of its proper divisors (29748124028).

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

21101524444 is a wasteful number, since it uses less digits than its factorization.

21101524444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68496 (or 68476 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

It can be divided in two parts, 2110152 and 4444, that added together give a triangular number (2114596 = T2056).

The spelling of 21101524444 in words is "twenty-one billion, one hundred one million, five hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 242 286 308 364 484 539 572 637 847 1001 1078 1274 1573 1694 2002 2156 2548 3146 3388 4004 5929 6292 7007 11011 11858 14014 22022 23716 28028 44044 68443 77077 136886 154154 273772 308308 479101 752873 889759 958202 1505746 1779518 1916404 3011492 3353707 3559036 5270111 6228313 6707414 8281603 9787349 10540222 12456626 13414828 16563206 19574698 21080444 24913252 33126412 36890777 39149396 43598191 57971221 68511443 73781554 87196382 107660839 115942442 137022886 147563108 174392764 215321678 231884884 274045772 405798547 430643356 479580101 753625873 811597094 959160202 1507251746 1623194188 1918320404 3014503492 5275381111 10550762222 21101524444