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11220210072 = 233510215653
BaseRepresentation
bin10100111001100011…
…01101000110011000
31001221221210201200000
422130301231012120
5140434333210242
65053212013000
7545022132501
oct123461550630
931857721600
1011220210072
114838574995
122211761160
13109a739876
14786233ba8
1545a08ba4c
hex29cc6d198

11220210072 has 96 divisors (see below), whose sum is σ = 31549998480. Its totient is φ = 3735745920.

The previous prime is 11220210041. The next prime is 11220210073. The reversal of 11220210072 is 27001202211.

It is a happy number.

It is a super-2 number, since 2×112202100722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220210073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981998 + ... + 1987650.

Almost surely, 211220210072 is an apocalyptic number.

11220210072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15774999240).

11220210072 is an abundant number, since it is smaller than the sum of its proper divisors (20329788408).

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

11220210072 is a wasteful number, since it uses less digits than its factorization.

11220210072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 11220210072 its reverse (27001202211), we get a palindrome (38221412283).

The spelling of 11220210072 in words is "eleven billion, two hundred twenty million, two hundred ten thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1021 1944 2042 3063 4084 5653 6126 8168 9189 11306 12252 16959 18378 22612 24504 27567 33918 36756 45224 50877 55134 67836 73512 82701 101754 110268 135672 152631 165402 203508 220536 248103 305262 330804 407016 457893 496206 610524 661608 915786 992412 1221048 1373679 1831572 1984824 2747358 3663144 5494716 5771713 10989432 11543426 17315139 23086852 34630278 46173704 51945417 69260556 103890834 138521112 155836251 207781668 311672502 415563336 467508753 623345004 935017506 1246690008 1402526259 1870035012 2805052518 3740070024 5610105036 11220210072