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2123012130320 = 245891240924029
BaseRepresentation
bin11110111001001101011…
…000100100011000010000
321111221212100212112110202
4132321031120210120100
5234240412101132240
64303144233514332
7306245135234354
oct36711530443020
97457770775422
102123012130320
11749401001004
122a35545729a8
131252787bc373
1474a7bc79464
153a357621315
hex1ee4d624610

2123012130320 has 80 divisors (see below), whose sum is σ = 4992073902000. Its totient is φ = 839560617984.

The previous prime is 2123012130319. The next prime is 2123012130457. The reversal of 2123012130320 is 230312103212.

It can be written as a sum of positive squares in 8 ways, for example, as 58755820816 + 2064256309504 = 242396^2 + 1436752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2123012130292 and 2123012130301.

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, 88340066 + ... + 88364094.

It is an arithmetic number, because the mean of its divisors is an integer number (62400923775).

Almost surely, 22123012130320 is an apocalyptic number.

2123012130320 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 2123012130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496036951000).

2123012130320 is an abundant number, since it is smaller than the sum of its proper divisors (2869061771680).

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

2123012130320 is a wasteful number, since it uses less digits than its factorization.

2123012130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36540 (or 36534 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2123012130320 its reverse (230312103212), we get a palindrome (2353324233532).

The spelling of 2123012130320 in words is "two trillion, one hundred twenty-three billion, twelve million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 12409 24029 24818 48058 49636 62045 96116 99272 120145 124090 192232 198544 240290 248180 384464 480580 496360 961160 992720 1104401 1922320 2138581 2208802 4277162 4417604 5522005 8554324 8835208 10692905 11044010 17108648 17670416 21385810 22088020 34217296 42771620 44176040 85543240 88352080 171086480 298175861 596351722 1192703444 1490879305 2385406888 2981758610 4770813776 5963517220 11927034440 23854068880 26537651629 53075303258 106150606516 132688258145 212301213032 265376516290 424602426064 530753032580 1061506065160 2123012130320