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21261211620 = 223511109129527
BaseRepresentation
bin10011110011010001…
…000101011111100100
32000212201201110100020
4103303101011133210
5322020332232440
613433421315140
71351605213465
oct236321053744
960781643306
1021261211620
119020443a80
124154405ab0
13200aa816bc
1410599cad6c
158468483d0
hex4f34457e4

21261211620 has 96 divisors (see below), whose sum is σ = 65005065216. Its totient is φ = 5149334400.

The previous prime is 21261211607. The next prime is 21261211681. The reversal of 21261211620 is 2611216212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705297 + ... + 734823.

It is an arithmetic number, because the mean of its divisors is an integer number (677136096).

Almost surely, 221261211620 is an apocalyptic number.

21261211620 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 21261211620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32502532608).

21261211620 is an abundant number, since it is smaller than the sum of its proper divisors (43743853596).

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

21261211620 is a wasteful number, since it uses less digits than its factorization.

21261211620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30641 (or 30639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 21261211620 its reverse (2611216212), we get a palindrome (23872427832).

The spelling of 21261211620 in words is "twenty-one billion, two hundred sixty-one million, two hundred eleven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1091 2182 3273 4364 5455 6546 10910 12001 13092 16365 21820 24002 29527 32730 36003 48004 59054 60005 65460 72006 88581 118108 120010 144012 147635 177162 180015 240020 295270 324797 354324 360030 442905 590540 649594 720060 885810 974391 1299188 1623985 1771620 1948782 3247970 3897564 4871955 6495940 9743910 19487820 32213957 64427914 96641871 128855828 161069785 193283742 322139570 354353527 386567484 483209355 644279140 708707054 966418710 1063060581 1417414108 1771767635 1932837420 2126121162 3543535270 4252242324 5315302905 7087070540 10630605810 21261211620