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21301303100 = 22527116014603
BaseRepresentation
bin10011110101101010…
…000001011100111100
32000222112011022111212
4103311222001130330
5322111113144400
613441412503552
71352603042330
oct236552013474
960875138455
1021301303100
119041037330
12416591abb8
13201617aa7c
1410610657c0
1584a117335
hex4f5a8173c

21301303100 has 144 divisors (see below), whose sum is σ = 57738137856. Its totient is φ = 6626880000.

The previous prime is 21301303061. The next prime is 21301303109. The reversal of 21301303100 is 130310312.

It is a super-2 number, since 2×213013031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301303109) 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, 4625399 + ... + 4630001.

Almost surely, 221301303100 is an apocalyptic number.

21301303100 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 21301303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28869068928).

21301303100 is an abundant number, since it is smaller than the sum of its proper divisors (36436834756).

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

21301303100 is a wasteful number, since it uses less digits than its factorization.

21301303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 21301303100 its reverse (130310312), we get a palindrome (21431613412).

The spelling of 21301303100 in words is "twenty-one billion, three hundred one million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 601 700 770 1100 1202 1540 1925 2404 3005 3850 4207 4603 6010 6611 7700 8414 9206 12020 13222 15025 16828 18412 21035 23015 26444 30050 32221 33055 42070 46030 46277 50633 60100 64442 66110 84140 92060 92554 101266 105175 115075 128884 132220 161105 165275 185108 202532 210350 230150 231385 253165 322210 330550 354431 420700 460300 462770 506330 644420 661100 708862 805525 925540 1012660 1156925 1265825 1417724 1611050 1772155 2313850 2531650 2766403 3222100 3544310 4627700 5063300 5532806 7088620 8860775 11065612 13832015 17721550 19364821 27664030 30430433 35443100 38729642 55328060 60860866 69160075 77459284 96824105 121721732 138320150 152152165 193648210 213013031 276640300 304304330 387296420 426026062 484120525 608608660 760760825 852052124 968241050 1065065155 1521521650 1936482100 2130130310 3043043300 4260260620 5325325775 10650651550 21301303100