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21002000022 = 232173172683
BaseRepresentation
bin10011100011110100…
…010001011010010110
32000012122222010212200
4103203310101122112
5321003003000042
613352001425330
71342310024523
oct234364213226
960178863780
1021002000022
1189a8099513
1240a163b246
131c99165263
1410333d414a
1582dbe4c4c
hex4e3d11696

21002000022 has 72 divisors (see below), whose sum is σ = 48404295576. Its totient is φ = 6558461184.

The previous prime is 21002000021. The next prime is 21002000053. The reversal of 21002000022 is 22000020012.

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 = 21001999968 and 21002000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30749293 + ... + 30749975.

It is an arithmetic number, because the mean of its divisors is an integer number (672281883).

Almost surely, 221002000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24202147788).

21002000022 is an abundant number, since it is smaller than the sum of its proper divisors (27402295554).

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

21002000022 is a wasteful number, since it uses less digits than its factorization.

21002000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 21002000022 its reverse (22000020012), we get a palindrome (43002020034).

The spelling of 21002000022 in words is "twenty-one billion, two million, twenty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 317 634 683 951 1366 1902 2049 2853 4098 5389 5706 6147 10778 11611 12294 16167 23222 32334 34833 48501 69666 97002 100489 104499 200978 208998 216511 301467 433022 602934 649533 904401 1299066 1708313 1808802 1948599 3416626 3680687 3897198 5124939 7361374 10249878 11042061 15374817 22084122 30749634 33126183 66252366 68633987 137267974 205901961 411803922 617705883 1166777779 1235411766 2333555558 3500333337 7000666674 10501000011 21002000022