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2120114520 = 233352238803
BaseRepresentation
bin111111001011110…
…0110000101011000
312110202100222101000
41332113212011120
513320222131040
6550213225000
7103352450616
oct17627460530
95422328330
102120114520
11998827467
124b2032160
1327a311444
141618046b6
15c61dc130
hex7e5e6158

2120114520 has 128 divisors (see below), whose sum is σ = 7099545600. Its totient is φ = 562764672.

The previous prime is 2120114519. The next prime is 2120114531. The reversal of 2120114520 is 254110212.

2120114520 is a `hidden beast` number, since 212 + 0 + 1 + 1 + 452 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2120114493 and 2120114502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236439 + ... + 245241.

It is an arithmetic number, because the mean of its divisors is an integer number (55465200).

Almost surely, 22120114520 is an apocalyptic number.

2120114520 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 2120114520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549772800).

2120114520 is an abundant number, since it is smaller than the sum of its proper divisors (4979431080).

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

2120114520 is a wasteful number, since it uses less digits than its factorization.

2120114520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9036 counting only the distinct ones).

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

The square root of 2120114520 is about 46044.7013238223. The cubic root of 2120114520 is about 1284.6547887453.

Adding to 2120114520 its reverse (254110212), we get a palindrome (2374224732).

It can be divided in two parts, 21201 and 14520, that added together give a square (35721 = 1892).

The spelling of 2120114520 in words is "two billion, one hundred twenty million, one hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 223 270 360 446 540 669 892 1080 1115 1338 1784 2007 2230 2676 3345 4014 4460 5352 6021 6690 8028 8803 8920 10035 12042 13380 16056 17606 20070 24084 26409 26760 30105 35212 40140 44015 48168 52818 60210 70424 79227 80280 88030 105636 120420 132045 158454 176060 211272 237681 240840 264090 316908 352120 396135 475362 528180 633816 792270 950724 1056360 1188405 1584540 1901448 1963069 2376810 3169080 3926138 4753620 5889207 7852276 9507240 9815345 11778414 15704552 17667621 19630690 23556828 29446035 35335242 39261380 47113656 53002863 58892070 70670484 78522760 88338105 106005726 117784140 141340968 176676210 212011452 235568280 265014315 353352420 424022904 530028630 706704840 1060057260 2120114520