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107305841323230 = 235114144231793117
BaseRepresentation
bin11000011001100000010110…
…100011011110110011011110
3112001221100010120200111110220
4120121200112203132303132
5103031044330334320410
61020115342321142210
731413406531565034
oct3031402643366336
9461840116614426
10107305841323230
1131211173a73380
121005071118a966
1347b4b8881c844
141c6d8b7c92554
15c614103c0070
hex6198168decde

107305841323230 has 128 divisors (see below), whose sum is σ = 287863778313216. Its totient is φ = 25373308646400.

The previous prime is 107305841323201. The next prime is 107305841323243. The reversal of 107305841323230 is 32323148503701.

It is a super-3 number, since 3×1073058413232303 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 58946632 + ... + 60739748.

It is an arithmetic number, because the mean of its divisors is an integer number (2248935768072).

Almost surely, 2107305841323230 is an apocalyptic number.

107305841323230 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 107305841323230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143931889156608).

107305841323230 is an abundant number, since it is smaller than the sum of its proper divisors (180557936989986).

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

107305841323230 is a wasteful number, since it uses less digits than its factorization.

107305841323230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797602.

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 107305841323230 its reverse (32323148503701), we get a palindrome (139628989826931).

The spelling of 107305841323230 in words is "one hundred seven trillion, three hundred five billion, eight hundred forty-one million, three hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4423 4510 6765 8846 13269 13530 22115 26538 44230 48653 66345 97306 132690 145959 181343 243265 291918 362686 486530 544029 729795 906715 1088058 1459590 1793117 1813430 1994773 2720145 3586234 3989546 5379351 5440290 5984319 8965585 9973865 10758702 11968638 17931170 19724287 19947730 26896755 29921595 39448574 53793510 59172861 59843190 73517797 98621435 118345722 147035594 197242870 220553391 295864305 367588985 441106782 591728610 735177970 808695767 1102766955 1617391534 2205533910 2426087301 4043478835 4852174602 7930956491 8086957670 12130436505 15861912982 23792869473 24260873010 39654782455 47585738946 79309564910 87240521401 118964347365 174481042802 237928694730 261721564203 325169216131 436202607005 523443128406 650338432262 872405214010 975507648393 1308607821015 1625846080655 1951015296786 2617215642030 3251692161310 3576861377441 4877538241965 7153722754882 9755076483930 10730584132323 17884306887205 21461168264646 35768613774410 53652920661615 107305841323230