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3120022221024 = 25371784158379
BaseRepresentation
bin101101011001101111110…
…100001111000011100000
3102001021022201020211110110
4231121233310033003200
5402104301142033044
610345152440131320
7441262026205602
oct55315764170340
912037281224413
103120022221024
11aa3215228885
12424821166b40
131982a84c75b7
14ab01d185172
155625b6386b9
hex2d66fd0f0e0

3120022221024 has 96 divisors (see below), whose sum is σ = 8306612778240. Its totient is φ = 1025211084800.

The previous prime is 3120022221013. The next prime is 3120022221059. The reversal of 3120022221024 is 4201222200213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53415067 + ... + 53473445.

It is an arithmetic number, because the mean of its divisors is an integer number (86527216440).

Almost surely, 23120022221024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120022221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153306389120).

3120022221024 is an abundant number, since it is smaller than the sum of its proper divisors (5186590557216).

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

3120022221024 is a wasteful number, since it uses less digits than its factorization.

3120022221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66304 (or 66296 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 3120022221024 its reverse (4201222200213), we get a palindrome (7321244421237).

The spelling of 3120022221024 in words is "three trillion, one hundred twenty billion, twenty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 7841 15682 23523 31364 47046 58379 62728 94092 116758 125456 175137 188184 233516 250912 350274 376368 467032 556711 700548 752736 934064 1113422 1401096 1670133 1868128 2226844 2802192 3340266 4144909 4453688 5604384 6680532 8289818 8907376 12434727 13361064 16579636 17814752 24869454 26722128 33159272 49738908 53444256 66318544 99477816 132637088 198955632 397911264 457749739 915499478 1373249217 1830998956 2746498434 3661997912 5492996868 7323995824 10985993736 14647991648 21971987472 32500231469 43943974944 65000462938 97500694407 130000925876 195001388814 260001851752 390002777628 520003703504 780005555256 1040007407008 1560011110512 3120022221024