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10113404221110 = 2351929621798411
BaseRepresentation
bin1001001100101011010111…
…0111011011011010110110
31022210211110112021120122210
42103022311313123122312
52311144222440033420
633302011143034250
72062445404332531
oct223126567333266
938724415246583
1010113404221110
11324a086032903
12117406673b986
135848c79c8638
1426d6c449ba18
15128115d289e0
hex932b5ddb6b6

10113404221110 has 128 divisors (see below), whose sum is σ = 26435195251200. Its totient is φ = 2466441169920.

The previous prime is 10113404221093. The next prime is 10113404221127. The reversal of 10113404221110 is 1112240431101.

It is an interprime number because it is at equal distance from previous prime (10113404221093) and next prime (10113404221127).

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, 102717805 + ... + 102816215.

It is an arithmetic number, because the mean of its divisors is an integer number (206524962900).

Almost surely, 210113404221110 is an apocalyptic number.

10113404221110 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 10113404221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217597625600).

10113404221110 is an abundant number, since it is smaller than the sum of its proper divisors (16321791030090).

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

10113404221110 is a wasteful number, since it uses less digits than its factorization.

10113404221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104686.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10113404221110 its reverse (1112240431101), we get a palindrome (11225644652211).

The spelling of 10113404221110 in words is "ten trillion, one hundred thirteen billion, four hundred four million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2755 3306 5510 6217 8265 12434 16530 18651 31085 37302 62170 93255 98411 118123 180293 186510 196822 236246 295233 354369 360586 492055 540879 590466 590615 708738 901465 984110 1081758 1181230 1476165 1771845 1802930 1869809 2704395 2853919 2952330 3425567 3543690 3739618 5408790 5609427 5707838 6851134 8561757 9349045 10276701 11218854 14269595 17123514 17127835 18698090 20553402 28047135 28539190 34255670 42808785 51383505 54224461 56094270 85617570 102767010 108448922 162673383 271122305 325346766 542244610 611821187 813366915 1223642374 1626733830 1835463561 3059105935 3670927122 6118211870 9177317805 11624602553 17742814423 18354635610 23249205106 34873807659 35485628846 53228443269 58123012765 69747615318 88714072115 106456886538 116246025530 174369038295 177428144230 266142216345 337113474037 348738076590 532284432690 674226948074 1011340422111 1685567370185 2022680844222 3371134740370 5056702110555 10113404221110