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113333011020 = 2232547101132637
BaseRepresentation
bin110100110001100101…
…1001000001001001100
3101211112101001110221200
41221203023020021030
53324101222323040
6124021531425500
711121332461515
oct1514313101114
9354471043850
10113333011020
1144078591679
1219b6abb5290
13a8c1b99888
1456b1b13a0c
152e34a1b630
hex1a632c824c

113333011020 has 144 divisors (see below), whose sum is σ = 354570023808. Its totient is φ = 29286028800.

The previous prime is 113333011009. The next prime is 113333011031. The reversal of 113333011020 is 20110333311.

It is a happy number.

113333011020 is a `hidden beast` number, since 1 + 1 + 333 + 301 + 10 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (113333011009) and next prime (113333011031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113333010984 and 113333011002.

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, 788142 + ... + 920778.

It is an arithmetic number, because the mean of its divisors is an integer number (2462291832).

Almost surely, 2113333011020 is an apocalyptic number.

113333011020 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 113333011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177285011904).

113333011020 is an abundant number, since it is smaller than the sum of its proper divisors (241237012788).

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

113333011020 is a wasteful number, since it uses less digits than its factorization.

113333011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132800 (or 132795 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113333011020 its reverse (20110333311), we get a palindrome (133443344331).

The spelling of 113333011020 in words is "one hundred thirteen billion, three hundred thirty-three million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 101 141 180 188 202 235 282 303 404 423 470 505 564 606 705 846 909 940 1010 1212 1410 1515 1692 1818 2020 2115 2820 3030 3636 4230 4545 4747 6060 8460 9090 9494 14241 18180 18988 23735 28482 42723 47470 56964 71205 85446 94940 132637 142410 170892 213615 265274 284820 397911 427230 530548 663185 795822 854460 1193733 1326370 1591644 1989555 2387466 2652740 3979110 4774932 5968665 6233939 7958220 11937330 12467878 13396337 18701817 23874660 24935756 26792674 31169695 37403634 40189011 53585348 56105451 62339390 66981685 74807268 80378022 93509085 112210902 120567033 124678780 133963370 160756044 187018170 200945055 224421804 241134066 267926740 280527255 374036340 401890110 482268132 561054510 602835165 629627839 803780220 1122109020 1205670330 1259255678 1888883517 2411340660 2518511356 3148139195 3777767034 5666650551 6296278390 7555534068 9444417585 11333301102 12592556780 18888835170 22666602204 28333252755 37777670340 56666505510 113333011020