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2300220023130 = 2335431021119403
BaseRepresentation
bin100001011110001111110…
…011000010000101011010
322010220021021210012201000
4201132033303002011122
5300141322311220010
64520412334005430
7325120411411311
oct41361763020532
98126237705630
102300220023130
11807577266787
1231196b046876
13138ba9b3b083
147d48cd07278
153ec79b4d7c0
hex2178fcc215a

2300220023130 has 128 divisors (see below), whose sum is σ = 6277507568640. Its totient is φ = 599037526080.

The previous prime is 2300220023119. The next prime is 2300220023131. The reversal of 2300220023130 is 313200220032.

It is a happy number.

2300220023130 is a `hidden beast` number, since 230 + 0 + 2 + 200 + 231 + 3 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2300220023131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118540009 + ... + 118559411.

It is an arithmetic number, because the mean of its divisors is an integer number (49043027880).

Almost surely, 22300220023130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300220023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138753784320).

2300220023130 is an abundant number, since it is smaller than the sum of its proper divisors (3977287545510).

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

2300220023130 is a wasteful number, since it uses less digits than its factorization.

2300220023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29673 (or 29667 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2300220023130 its reverse (313200220032), we get a palindrome (2613420243162).

The spelling of 2300220023130 in words is "two trillion, three hundred billion, two hundred twenty million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 10211 11610 19403 20422 30633 38806 51055 58209 61266 91899 97015 102110 116418 153165 174627 183798 194030 275697 291045 306330 349254 439073 459495 523881 551394 582090 834329 873135 878146 918990 1047762 1317219 1378485 1668658 1746270 2195365 2502987 2619405 2634438 2756970 3951657 4171645 4390730 5005974 5238810 6586095 7508961 7903314 8343290 11854971 12514935 13172190 15017922 19758285 22526883 23709942 25029870 37544805 39516570 45053766 59274855 75089610 112634415 118549710 198124033 225268830 396248066 594372099 990620165 1188744198 1783116297 1981240330 2971860495 3566232594 5349348891 5943720990 8519333419 8915581485 10698697782 17038666838 17831162970 25558000257 26746744455 42596667095 51116000514 53493488910 76674000771 85193334190 127790001285 153348001542 230022002313 255580002570 383370003855 460044004626 766740007710 1150110011565 2300220023130