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2122015104 = 27331155819
BaseRepresentation
bin111111001111011…
…0110000110000000
312110212221112111000
41332132312012000
513321213440404
6550322052000
7103404554646
oct17636660600
95425845430
102122015104
119999053a0
124b27aa000
1327a828551
14161b7b196
15c6465339
hex7e7b6180

2122015104 has 128 divisors (see below), whose sum is σ = 6832368000. Its totient is φ = 643023360.

The previous prime is 2122015087. The next prime is 2122015111. The reversal of 2122015104 is 4015102212.

2122015104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10107 + ... + 65925.

It is an arithmetic number, because the mean of its divisors is an integer number (53377875).

Almost surely, 22122015104 is an apocalyptic number.

2122015104 is a gapful number since it is divisible by the number (24) 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 2122015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416184000).

2122015104 is an abundant number, since it is smaller than the sum of its proper divisors (4710352896).

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

2122015104 is a wasteful number, since it uses less digits than its factorization.

2122015104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55853 (or 55835 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2122015104 is about 46065.3351664785. The cubic root of 2122015104 is about 1285.0385518369.

Adding to 2122015104 its reverse (4015102212), we get a palindrome (6137117316).

The spelling of 2122015104 in words is "two billion, one hundred twenty-two million, fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 55819 111638 167457 223276 334914 446552 502371 614009 669828 893104 1004742 1228018 1339656 1507113 1786208 1842027 2009484 2456036 2679312 3014226 3572416 3684054 4018968 4912072 5358624 5526081 6028452 7144832 7368108 8037936 9824144 10717248 11052162 12056904 14736216 16075872 16578243 19648288 21434496 22104324 24113808 29472432 32151744 33156486 39296576 44208648 48227616 58944864 64303488 66312972 78593152 88417296 96455232 117889728 132625944 176834592 192910464 235779456 265251888 353669184 530503776 707338368 1061007552 2122015104