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113003332322540 = 2251111321647209987
BaseRepresentation
bin11001101100011010100011…
…011110110100010011101100
3112211010000100112011120201112
4121230122203132310103230
5104302421311033310130
61040201003022331152
732542135630200002
oct3154324336642354
9484100315146645
10113003332322540
1133008498118140
1210810977429ab8
134b092262bc83a
141dc9567628a72
15d0e721791495
hex66c6a37b44ec

113003332322540 has 96 divisors (see below), whose sum is σ = 261184646790144. Its totient is φ = 40726398325760.

The previous prime is 113003332322533. The next prime is 113003332322591. The reversal of 113003332322540 is 45223233300311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113003332322497 and 113003332322506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538039427 + ... + 538249413.

It is an arithmetic number, because the mean of its divisors is an integer number (2720673404064).

Almost surely, 2113003332322540 is an apocalyptic number.

113003332322540 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 113003332322540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130592323395072).

113003332322540 is an abundant number, since it is smaller than the sum of its proper divisors (148181314467604).

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

113003332322540 is a wasteful number, since it uses less digits than its factorization.

113003332322540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231767 (or 231765 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 113003332322540 its reverse (45223233300311), we get a palindrome (158226565622851).

The spelling of 113003332322540 in words is "one hundred thirteen trillion, three billion, three hundred thirty-two million, three hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 21647 24860 43294 86588 108235 209987 216470 238117 419974 432940 476234 839948 952468 1049935 1190585 2099870 2309857 2381170 2446111 4199740 4619714 4762340 4892222 9239428 9784444 11549285 12230555 23098570 23728531 24461110 26907221 46197140 47457062 48922220 53814442 94914124 107628884 118642655 134536105 237285310 261013841 269072210 474570620 522027682 538144420 1044055364 1305069205 2610138410 4545588589 5220276820 9091177178 18182354356 22727942945 45455885890 50001474479 90911771780 100002948958 200005897916 250007372395 500014744790 513651510557 1000029489580 1027303021114 2054606042228 2568257552785 5136515105570 5650166616127 10273030211140 11300333232254 22600666464508 28250833080635 56501666161270 113003332322540