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21433131420 = 223573267033
BaseRepresentation
bin10011111101100000…
…111010000110011100
32001022201012212222020
4103331200322012130
5322343340201140
613502442220140
71356063416421
oct237540720634
961281185866
1021433131420
1190a9497958
1241a1ab4650
1320375867ac
14107477dd48
158569a76d0
hex4fd83a19c

21433131420 has 72 divisors (see below), whose sum is σ = 60847029936. Its totient is φ = 5637123072.

The previous prime is 21433131359. The next prime is 21433131427. The reversal of 21433131420 is 2413133412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21433131427) 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, 286224 + ... + 353256.

It is an arithmetic number, because the mean of its divisors is an integer number (845097638).

Almost surely, 221433131420 is an apocalyptic number.

21433131420 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 21433131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30423514968).

21433131420 is an abundant number, since it is smaller than the sum of its proper divisors (39413898516).

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

21433131420 is a wasteful number, since it uses less digits than its factorization.

21433131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67191 (or 67116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21433131420 its reverse (2413133412), we get a palindrome (23846264832).

The spelling of 21433131420 in words is "twenty-one billion, four hundred thirty-three million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 5329 10658 15987 21316 26645 31974 53290 63948 67033 79935 106580 134066 159870 201099 268132 319740 335165 402198 670330 804396 1005495 1340660 2010990 4021980 4893409 9786818 14680227 19573636 24467045 29360454 48934090 58720908 73401135 97868180 146802270 293604540 357218857 714437714 1071656571 1428875428 1786094285 2143313142 3572188570 4286626284 5358282855 7144377140 10716565710 21433131420