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2210013012320 = 25589420136943
BaseRepresentation
bin100000001010001111000…
…010100110000101100000
321211021102121101021010122
4200022033002212011200
5242202101312343240
64411133240415412
7315445116440561
oct40121702460540
97737377337118
102210013012320
11782296804383
122b8394a77568
131305321786b9
1478d72720168
153c74a5304b5
hex2028f0a6160

2210013012320 has 96 divisors (see below), whose sum is σ = 5281220165760. Its totient is φ = 873840844800.

The previous prime is 2210013012223. The next prime is 2210013012329. The reversal of 2210013012320 is 232103100122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210013012329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59803769 + ... + 59840711.

It is an arithmetic number, because the mean of its divisors is an integer number (55012710060).

Almost surely, 22210013012320 is an apocalyptic number.

2210013012320 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 2210013012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640610082880).

2210013012320 is an abundant number, since it is smaller than the sum of its proper divisors (3071207153440).

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

2210013012320 is a wasteful number, since it uses less digits than its factorization.

2210013012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41248 (or 41240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2210013012320 its reverse (232103100122), we get a palindrome (2442116112442).

The spelling of 2210013012320 in words is "two trillion, two hundred ten billion, thirteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 4201 7120 8402 14240 16804 21005 33608 36943 42010 67216 73886 84020 134432 147772 168040 184715 295544 336080 369430 373889 591088 672160 738860 747778 1182176 1477720 1495556 1869445 2955440 2991112 3287927 3738890 5910880 5982224 6575854 7477780 11964448 13151708 14955560 16439635 26303416 29911120 32879270 52606832 59822240 65758540 105213664 131517080 155197543 263034160 310395086 526068320 620790172 775987715 1241580344 1551975430 2483160688 3103950860 4966321376 6207901720 12415803440 13812581327 24831606880 27625162654 55250325308 69062906635 110500650616 138125813270 221001301232 276251626540 442002602464 552503253080 1105006506160 2210013012320