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2301233120130 = 2357107138174159
BaseRepresentation
bin100001011111001100001…
…011101100001110000010
322010222212220002212112010
4201133030023230032002
5300200411134321010
64521101044113350
7325154462531010
oct41371413541602
98128786085463
102301233120130
11807a4711552a
12311bb2395856
1313900b9b2659
147d5476a38b0
153ecd8a6a620
hex217cc2ec382

2301233120130 has 128 divisors (see below), whose sum is σ = 6375643176960. Its totient is φ = 520695947520.

The previous prime is 2301233120111. The next prime is 2301233120191. The reversal of 2301233120130 is 310213321032.

It is a super-2 number, since 2×23012331201302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2301233120097 and 2301233120106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30993991 + ... + 31068149.

It is an arithmetic number, because the mean of its divisors is an integer number (49809712320).

Almost surely, 22301233120130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301233120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187821588480).

2301233120130 is an abundant number, since it is smaller than the sum of its proper divisors (4074410056830).

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

2301233120130 is a wasteful number, since it uses less digits than its factorization.

2301233120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75664.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2301233120130 its reverse (310213321032), we get a palindrome (2611446441162).

The spelling of 2301233120130 in words is "two trillion, three hundred one billion, two hundred thirty-three million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1381 1498 1605 2247 2762 3210 3745 4143 4494 6905 7490 8286 9667 11235 13810 19334 20715 22470 29001 41430 48335 58002 74159 96670 145005 147767 148318 222477 290010 295534 370795 443301 444954 519113 738835 741590 886602 1034369 1038226 1112385 1477670 1557339 2068738 2216505 2224770 2595565 3103107 3114678 4433010 5171845 5191130 6206214 7786695 7935013 10343690 15515535 15573390 15870026 23805039 31031070 39675065 47610078 55545091 79350130 102413579 111090182 119025195 166635273 204827158 238050390 277725455 307240737 333270546 512067895 555450910 614481474 716895053 833176365 1024135790 1433790106 1536203685 1666352730 2150685159 3072407370 3584475265 4301370318 7168950530 10753425795 10958252953 21506851590 21916505906 32874758859 54791264765 65749517718 76707770671 109582529530 153415541342 164373794295 230123312013 328747588590 383538853355 460246624026 767077706710 1150616560065 2301233120130