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13023130213220 = 225311131187156601
BaseRepresentation
bin1011110110000010111100…
…0011001101101101100100
31201002222222100002002211012
42331200233003031231210
53201332332313310340
643410424325201352
72512614210230351
oct275405703155544
951088870062735
1013023130213220
114171095547296
121563b77b60258
137360caa0910a
14330473d2b628
15178b65118565
hexbd82f0cdb64

13023130213220 has 96 divisors (see below), whose sum is σ = 28504791254016. Its totient is φ = 4992357888000.

The previous prime is 13023130213141. The next prime is 13023130213229. The reversal of 13023130213220 is 2231203132031.

It is not an unprimeable number, because it can be changed into a prime (13023130213229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83082920 + ... + 83239520.

It is an arithmetic number, because the mean of its divisors is an integer number (296924908896).

Almost surely, 213023130213220 is an apocalyptic number.

13023130213220 is a gapful number since it is divisible by the number (10) 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 13023130213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252395627008).

13023130213220 is an abundant number, since it is smaller than the sum of its proper divisors (15481661040796).

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

13023130213220 is a wasteful number, since it uses less digits than its factorization.

13023130213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157941 (or 157939 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13023130213220 its reverse (2231203132031), we get a palindrome (15254333345251).

The spelling of 13023130213220 in words is "thirteen trillion, twenty-three billion, one hundred thirty million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 113 124 155 226 310 452 565 620 1130 1187 2260 2374 3503 4748 5935 7006 11870 14012 17515 23740 35030 36797 70060 73594 134131 147188 156601 183985 268262 313202 367970 536524 626404 670655 735940 783005 1341310 1566010 2682620 3132020 4158061 4854631 8316122 9709262 16632244 17695913 19418524 20790305 24273155 35391826 41580610 48546310 70783652 83161220 88479565 97092620 176959130 185885387 353918260 371770774 548573303 743541548 929426935 1097146606 1858853870 2194293212 2742866515 3717707740 5485733030 5762446997 10971466060 11524893994 21005048731 23049787988 28812234985 42010097462 57624469970 84020194924 105025243655 115248939940 210050487310 420100974620 651156510661 1302313021322 2604626042644 3255782553305 6511565106610 13023130213220