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13022103230130 = 2352359400779829
BaseRepresentation
bin1011110101111111000111…
…0101100101011010110010
31201002220022202121221212110
42331133301311211122302
53201323231411331010
643410134401310150
72512546600064511
oct275376165453262
951086282557773
1013022103230130
114170708873735
121563930035356
13735c96012207
143303b7798678
15178b04da7120
hexbd7f1d656b2

13022103230130 has 128 divisors (see below), whose sum is σ = 33173311795200. Its totient is φ = 3264426201344.

The previous prime is 13022103230119. The next prime is 13022103230141. The reversal of 13022103230130 is 3103230122031.

It is an interprime number because it is at equal distance from previous prime (13022103230119) and next prime (13022103230141).

It is a junction number, because it is equal to n+sod(n) for n = 13022103230097 and 13022103230106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163085056 + ... + 163164884.

It is an arithmetic number, because the mean of its divisors is an integer number (259166498400).

Almost surely, 213022103230130 is an apocalyptic number.

13022103230130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022103230130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16586655897600).

13022103230130 is an abundant number, since it is smaller than the sum of its proper divisors (20151208565070).

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

13022103230130 is a wasteful number, since it uses less digits than its factorization.

13022103230130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83928.

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

Adding to 13022103230130 its reverse (3103230122031), we get a palindrome (16125333352161).

The spelling of 13022103230130 in words is "thirteen trillion, twenty-two billion, one hundred three million, two hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 295 345 354 590 690 885 1357 1770 2714 4007 4071 6785 8014 8142 12021 13570 20035 20355 24042 40070 40710 60105 79829 92161 120210 159658 184322 236413 239487 276483 399145 460805 472826 478974 552966 709239 798290 921610 1182065 1197435 1382415 1418478 1836067 2364130 2394870 2764830 3546195 3672134 4709911 5437499 5508201 7092390 9180335 9419822 10874998 11016402 14129733 16312497 18360670 23549555 27187495 27541005 28259466 32624994 47099110 54374990 55082010 70648665 81562485 108327953 141297330 163124970 216655906 319874803 324983859 541639765 639749606 649967718 959624409 1083279530 1599374015 1624919295 1919248818 3198748030 3249838590 4798122045 7357120469 9596244090 14714240938 18872613377 22071361407 36785602345 37745226754 44142722814 56617840131 73571204690 94363066885 110356807035 113235680262 188726133770 220713614070 283089200655 434070107671 566178401310 868140215342 1302210323013 2170350538355 2604420646026 4340701076710 6511051615065 13022103230130