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21331434020 = 22513311331797
BaseRepresentation
bin10011110111011100…
…111101101000100100
32001001121212010100212
4103313130331220210
5322141321342040
613444410354552
71353420124511
oct236734755044
961047763325
1021331434020
119057047116
124173a2ba58
13201c49a510
14106506a308
1584cab9d65
hex4f773da24

21331434020 has 96 divisors (see below), whose sum is σ = 48604098816. Its totient is φ = 7817356800.

The previous prime is 21331434001. The next prime is 21331434031. The reversal of 21331434020 is 2043413312.

It is a super-2 number, since 2×213314340202 (a number of 21 digits) contains 22 as substring.

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, 26764262 + ... + 26765058.

It is an arithmetic number, because the mean of its divisors is an integer number (506292696).

Almost surely, 221331434020 is an apocalyptic number.

21331434020 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 21331434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24302049408).

21331434020 is an abundant number, since it is smaller than the sum of its proper divisors (27272664796).

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

21331434020 is a wasteful number, since it uses less digits than its factorization.

21331434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 21331434020 its reverse (2043413312), we get a palindrome (23374847332).

The spelling of 21331434020 in words is "twenty-one billion, three hundred thirty-one million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 311 331 622 662 797 1244 1324 1555 1594 1655 3110 3188 3310 3985 4043 4303 6220 6620 7970 8086 8606 10361 15940 16172 17212 20215 20722 21515 40430 41444 43030 51805 80860 86060 102941 103610 205882 207220 247867 263807 411764 495734 514705 527614 991468 1029410 1055228 1239335 1319035 1338233 2058820 2478670 2638070 2676466 3222271 3429491 4957340 5276140 5352932 6444542 6691165 6858982 12889084 13382330 13717964 16111355 17147455 26764660 32222710 34294910 64445420 68589820 82043977 164087954 328175908 410219885 820439770 1066571701 1640879540 2133143402 4266286804 5332858505 10665717010 21331434020