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21211112010 = 235111011275011
BaseRepresentation
bin10011110000010001…
…111110001001001010
32000202020110010121010
4103300101332021022
5321420021041020
613424431424350
71350426322464
oct236021761112
960666403533
1021211112010
118aa5135440
12413b6850b6
13200058cb6a
1410530a9134
1584224dde0
hex4f047e24a

21211112010 has 128 divisors (see below), whose sum is σ = 56537284608. Its totient is φ = 5050080000.

The previous prime is 21211111979. The next prime is 21211112017. The reversal of 21211112010 is 1021111212.

It is a super-2 number, since 2×212111120102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21211112017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4230405 + ... + 4235415.

It is an arithmetic number, because the mean of its divisors is an integer number (441697536).

Almost surely, 221211112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28268642304).

21211112010 is an abundant number, since it is smaller than the sum of its proper divisors (35326172598).

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

21211112010 is a wasteful number, since it uses less digits than its factorization.

21211112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211112010 its reverse (1021111212), we get a palindrome (22232223222).

The spelling of 21211112010 in words is "twenty-one billion, two hundred eleven million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 127 165 202 254 303 330 381 505 606 635 762 1010 1111 1270 1397 1515 1905 2222 2794 3030 3333 3810 4191 5011 5555 6666 6985 8382 10022 11110 12827 13970 15033 16665 20955 25055 25654 30066 33330 38481 41910 50110 55121 64135 75165 76962 110242 128270 141097 150330 165363 192405 275605 282194 330726 384810 423291 506111 551210 636397 705485 826815 846582 1012222 1272794 1410970 1518333 1653630 1909191 2116455 2530555 3036666 3181985 3818382 4232910 5061110 5567221 6363970 7000367 7591665 9545955 11134442 14000734 15183330 16701663 19091910 21001101 27836105 33403326 35001835 42002202 55672210 64276097 70003670 83508315 105005505 128552194 167016630 192828291 210011010 321380485 385656582 642760970 707037067 964141455 1414074134 1928282910 2121111201 3535185335 4242222402 7070370670 10605556005 21211112010