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21421311340 = 225111322693301
BaseRepresentation
bin10011111100110011…
…110100010101101100
32001021212222100212111
4103330303310111230
5322332323430330
613501341013404
71355561066512
oct237463642554
961255870774
1021421311340
1190a28542a0
124199b54264
132034ca8670
141072d844b2
1585592032a
hex4fccf456c

21421311340 has 96 divisors (see below), whose sum is σ = 52888530240. Its totient is φ = 7185024000.

The previous prime is 21421311323. The next prime is 21421311383. The reversal of 21421311340 is 4311312412.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 6487690 + ... + 6490990.

It is an arithmetic number, because the mean of its divisors is an integer number (550922190).

Almost surely, 221421311340 is an apocalyptic number.

21421311340 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 21421311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26444265120).

21421311340 is an abundant number, since it is smaller than the sum of its proper divisors (31467218900).

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

21421311340 is a wasteful number, since it uses less digits than its factorization.

21421311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21421311340 its reverse (4311312412), we get a palindrome (25732623752).

The spelling of 21421311340 in words is "twenty-one billion, four hundred twenty-one million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2269 2860 3301 4538 6602 9076 11345 13204 16505 22690 24959 29497 33010 36311 42913 45380 49918 58994 66020 72622 85826 99836 117988 124795 145244 147485 171652 181555 214565 249590 294970 324467 363110 429130 472043 499180 589940 648934 726220 858260 944086 1297868 1622335 1888172 2360215 3244670 4720430 6489340 7489969 9440860 14979938 29959876 37449845 74899690 82389659 97369597 149799380 164779318 194739194 329558636 389478388 411948295 486847985 823896590 973695970 1071065567 1647793180 1947391940 2142131134 4284262268 5355327835 10710655670 21421311340