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2301012120 = 2335112237817
BaseRepresentation
bin1000100100100110…
…1010100010011000
312221100202112020010
42021021222202120
514203024341440
61020154401520
7111010165101
oct21111524230
95840675203
102301012120
11a80952510
125427302a0
132a893aa44
1417b8533a8
15d7021580
hex8926a898

2301012120 has 128 divisors (see below), whose sum is σ = 7565322240. Its totient is φ = 555248640.

The previous prime is 2301012083. The next prime is 2301012137. The reversal of 2301012120 is 212101032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2301012096 and 2301012105.

It is a congruent number.

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, 290452 + ... + 298268.

It is an arithmetic number, because the mean of its divisors is an integer number (59104080).

Almost surely, 22301012120 is an apocalyptic number.

2301012120 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 2301012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782661120).

2301012120 is an abundant number, since it is smaller than the sum of its proper divisors (5264310120).

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

2301012120 is a wasteful number, since it uses less digits than its factorization.

2301012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8065 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2301012120 is about 47968.8661529538. The cubic root of 2301012120 is about 1320.1997172558.

Adding to 2301012120 its reverse (212101032), we get a palindrome (2513113152).

It can be divided in two parts, 230101 and 2120, that added together give a triangular number (232221 = T681).

The spelling of 2301012120 in words is "two billion, three hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 223 264 330 440 446 660 669 892 1115 1320 1338 1784 2230 2453 2676 3345 4460 4906 5352 6690 7359 7817 8920 9812 12265 13380 14718 15634 19624 23451 24530 26760 29436 31268 36795 39085 46902 49060 58872 62536 73590 78170 85987 93804 98120 117255 147180 156340 171974 187608 234510 257961 294360 312680 343948 429935 469020 515922 687896 859870 938040 1031844 1289805 1719740 1743191 2063688 2579610 3439480 3486382 5159220 5229573 6972764 8715955 10318440 10459146 13945528 17431910 19175101 20918292 26147865 34863820 38350202 41836584 52295730 57525303 69727640 76700404 95875505 104591460 115050606 153400808 191751010 209182920 230101212 287626515 383502020 460202424 575253030 767004040 1150506060 2301012120