Search a number
-
+
21433124120 = 2357319793709
BaseRepresentation
bin10011111101100000…
…111000010100011000
32001022201012111221212
4103331200320110120
5322343334432440
613502442122252
71356063356222
oct237540702430
961281174855
1021433124120
1190a9492421
1241a1ab0388
132037583385
14107477b412
158569a5465
hex4fd838518

21433124120 has 64 divisors (see below), whose sum is σ = 48923028000. Its totient is φ = 8449256448.

The previous prime is 21433124071. The next prime is 21433124129. The reversal of 21433124120 is 2142133412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21433124129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5776826 + ... + 5780534.

Almost surely, 221433124120 is an apocalyptic number.

21433124120 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 21433124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24461514000).

21433124120 is an abundant number, since it is smaller than the sum of its proper divisors (27489903880).

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

21433124120 is a wasteful number, since it uses less digits than its factorization.

21433124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21433124120 its reverse (2142133412), we get a palindrome (23575257532).

The spelling of 21433124120 in words is "twenty-one billion, four hundred thirty-three million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 1979 2920 3709 3958 7418 7916 9895 14836 15832 18545 19790 29672 37090 39580 74180 79160 144467 148360 270757 288934 541514 577868 722335 1083028 1155736 1353785 1444670 2166056 2707570 2889340 5415140 5778680 7340111 10830280 14680222 29360444 36700555 58720888 73401110 146802220 293604440 535828103 1071656206 2143312412 2679140515 4286624824 5358281030 10716562060 21433124120