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10240111420 = 22571121494057
BaseRepresentation
bin10011000100101101…
…11011001100111100
3222102122120120001221
421202112323030330
5131432432031140
64412041043124
7511521340150
oct114226731474
928378516057
1010240111420
114385304300
121b994864a4
13c72679c36
146d1dc7060
153ededc14a
hex2625bb33c

10240111420 has 144 divisors (see below), whose sum is σ = 27201585600. Its totient is φ = 3169520640.

The previous prime is 10240111411. The next prime is 10240111447. The reversal of 10240111420 is 2411104201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10240111394 and 10240111403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2522032 + ... + 2526088.

It is an arithmetic number, because the mean of its divisors is an integer number (188899900).

Almost surely, 210240111420 is an apocalyptic number.

10240111420 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 10240111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600792800).

10240111420 is an abundant number, since it is smaller than the sum of its proper divisors (16961474180).

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

10240111420 is a wasteful number, since it uses less digits than its factorization.

10240111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10240111420 its reverse (2411104201), we get a palindrome (12651215621).

The spelling of 10240111420 in words is "ten billion, two hundred forty million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 149 154 220 242 298 308 385 484 596 605 745 770 847 1043 1210 1490 1540 1639 1694 2086 2420 2980 3278 3388 4057 4172 4235 5215 6556 8114 8195 8470 10430 11473 16228 16390 16940 18029 20285 20860 22946 28399 32780 36058 40570 44627 45892 56798 57365 72116 81140 89254 90145 113596 114730 126203 141995 178508 180290 223135 229460 252406 283990 312389 360580 446270 490897 504812 567980 604493 624778 631015 892540 981794 1208986 1249556 1262030 1561945 1963588 2417972 2454485 2524060 3022465 3123890 3436279 4231451 4908970 6044930 6247780 6649423 6872558 8462902 9817940 12089860 13298846 13745116 16925804 17181395 21157255 26597692 33247115 34362790 42314510 46545961 66494230 68725580 73143653 84629020 93091922 132988460 146287306 186183844 232729805 292574612 365718265 465459610 512005571 731436530 930919220 1024011142 1462873060 2048022284 2560027855 5120055710 10240111420