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113133333012 = 223719178939623
BaseRepresentation
bin110100101011101000…
…1011010101000010100
3101211000110022210012220
41221113101122220110
53323144113124022
6123550035542340
711113356315060
oct1512721325024
9354013283186
10113133333012
1143a858a9627
1219b1415a9b0
13a88c6c5ccb
1456933b6aa0
152e2222785c
hex1a5745aa14

113133333012 has 96 divisors (see below), whose sum is σ = 317752780800. Its totient is φ = 30604666752.

The previous prime is 113133333011. The next prime is 113133333073. The reversal of 113133333012 is 210333331311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113133333011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2835433 + ... + 2875055.

It is an arithmetic number, because the mean of its divisors is an integer number (3309924800).

Almost surely, 2113133333012 is an apocalyptic number.

113133333012 is a gapful number since it is divisible by the number (12) 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 113133333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158876390400).

113133333012 is an abundant number, since it is smaller than the sum of its proper divisors (204619447788).

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

113133333012 is a wasteful number, since it uses less digits than its factorization.

113133333012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41445 (or 41443 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 113133333012 its reverse (210333331311), we get a palindrome (323466664323).

The spelling of 113133333012 in words is "one hundred thirteen billion, one hundred thirty-three million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 1789 3578 5367 7156 10734 12523 21468 25046 33991 37569 39623 50092 67982 75138 79246 101973 118869 135964 150276 158492 203946 237738 237937 277361 407892 475476 475874 554722 713811 752837 832083 951748 1109444 1427622 1505674 1664166 2258511 2855244 3011348 3328332 4517022 5269859 9034044 10539718 15809577 21079436 31619154 63238308 70885547 141771094 212656641 283542188 425313282 496198829 850626564 992397658 1346825393 1488596487 1984795316 2693650786 2977192974 4040476179 5387301572 5954385948 8080952358 9427777751 16161904716 18855555502 28283333253 37711111004 56566666506 113133333012