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21210011300 = 22522973100189
BaseRepresentation
bin10011110000001101…
…110001011010100100
32000202011101012201002
4103300031301122210
5321414230330200
613424352052432
71350414056432
oct236015613244
960664335632
1021210011300
118aa4553465
12413b234118
132000295b5a
141052c9dd52
158420d2bd5
hex4f03716a4

21210011300 has 72 divisors (see below), whose sum is σ = 48265530600. Its totient is φ = 8079160320.

The previous prime is 21210011297. The next prime is 21210011371. The reversal of 21210011300 is 311001212.

It can be written as a sum of positive squares in 12 ways, for example, as 8029593664 + 13180417636 = 89608^2 + 114806^2 .

It is a super-2 number, since 2×212100113002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161606 + ... + 261794.

Almost surely, 221210011300 is an apocalyptic number.

21210011300 is a gapful number since it is divisible by the number (20) 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 21210011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24132765300).

21210011300 is an abundant number, since it is smaller than the sum of its proper divisors (27055519300).

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

21210011300 is a wasteful number, since it uses less digits than its factorization.

21210011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100305 (or 100298 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21210011300 its reverse (311001212), we get a palindrome (21521012512).

The spelling of 21210011300 in words is "twenty-one billion, two hundred ten million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 73 100 116 145 146 290 292 365 580 725 730 1450 1460 1825 2117 2900 3650 4234 7300 8468 10585 21170 42340 52925 100189 105850 200378 211700 400756 500945 1001890 2003780 2504725 2905481 5009450 5810962 7313797 10018900 11621924 14527405 14627594 29054810 29255188 36568985 58109620 72637025 73137970 145274050 146275940 182844925 212100113 290548100 365689850 424200226 731379700 848400452 1060500565 2121001130 4242002260 5302502825 10605005650 21210011300