Search a number
-
+
21312031200 = 2535222739119
BaseRepresentation
bin10011110110010010…
…111100100111100000
32001000021100100200220
4103312102330213200
5322121334444300
613442434443040
71353063163515
oct236622744740
961007310626
1021312031200
1190470a4529
124169433480
132018465b65
14106265930c
1584b035da0
hex4f64bc9e0

21312031200 has 144 divisors (see below), whose sum is σ = 69678040320. Its totient is φ = 5658027520.

The previous prime is 21312031171. The next prime is 21312031201. The reversal of 21312031200 is 213021312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21312031200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312031201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525241 + ... + 564359.

It is an arithmetic number, because the mean of its divisors is an integer number (483875280).

Almost surely, 221312031200 is an apocalyptic number.

21312031200 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 21312031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34839020160).

21312031200 is an abundant number, since it is smaller than the sum of its proper divisors (48366009120).

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

21312031200 is a wasteful number, since it uses less digits than its factorization.

21312031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39369 (or 39356 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21312031200 its reverse (213021312), we get a palindrome (21525052512).

The spelling of 21312031200 in words is "twenty-one billion, three hundred twelve million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 227 240 300 400 454 480 600 681 800 908 1135 1200 1362 1816 2270 2400 2724 3405 3632 4540 5448 5675 6810 7264 9080 10896 11350 13620 17025 18160 21792 22700 27240 34050 36320 39119 45400 54480 68100 78238 90800 108960 117357 136200 156476 181600 195595 234714 272400 312952 391190 469428 544800 586785 625904 782380 938856 977975 1173570 1251808 1564760 1877712 1955950 2347140 2933925 3129520 3755424 3911900 4694280 5867850 6259040 7823800 8880013 9388560 11735700 15647600 17760026 18777120 23471400 26640039 31295200 35520052 44400065 46942800 53280078 71040104 88800130 93885600 106560156 133200195 142080208 177600260 213120312 222000325 266400390 284160416 355200520 426240624 444000650 532800780 666000975 710401040 852481248 888001300 1065601560 1332001950 1420802080 1776002600 2131203120 2664003900 3552005200 4262406240 5328007800 7104010400 10656015600 21312031200