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33231011130 = 2335475349409
BaseRepresentation
bin11110111100101110…
…001111110100111010
310011202221000021102000
4132330232033310322
51021024114324010
623133251521430
72254331635242
oct367456176472
9104687007360
1033231011130
1113103048569
126534bb9276
1331978a0bc5
1418735c6b22
15ce76007c0
hex7bcb8fd3a

33231011130 has 128 divisors (see below), whose sum is σ = 92210918400. Its totient is φ = 8509243392.

The previous prime is 33231011129. The next prime is 33231011161. The reversal of 33231011130 is 3111013233.

It is a happy number.

33231011130 is a `hidden beast` number, since 332 + 310 + 11 + 13 + 0 = 666.

It is a super-2 number, since 2×332310111302 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647866 + ... + 697274.

It is an arithmetic number, because the mean of its divisors is an integer number (720397800).

Almost surely, 233231011130 is an apocalyptic number.

33231011130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33231011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46105459200).

33231011130 is an abundant number, since it is smaller than the sum of its proper divisors (58979907270).

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

33231011130 is a wasteful number, since it uses less digits than its factorization.

33231011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49525 (or 49519 counting only the distinct ones).

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

Adding to 33231011130 its reverse (3111013233), we get a palindrome (36342024363).

The spelling of 33231011130 in words is "thirty-three billion, two hundred thirty-one million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 53 54 90 94 106 135 141 159 235 265 270 282 318 423 470 477 530 705 795 846 954 1269 1410 1431 1590 2115 2385 2491 2538 2862 4230 4770 4982 6345 7155 7473 12455 12690 14310 14946 22419 24910 37365 44838 49409 67257 74730 98818 112095 134514 148227 224190 247045 296454 336285 444681 494090 672570 741135 889362 1334043 1482270 2223405 2322223 2618677 2668086 4446810 4644446 5237354 6670215 6966669 7856031 11611115 13093385 13340430 13933338 15712062 20900007 23222230 23568093 26186770 34833345 39280155 41800014 47136186 62700021 69666690 70704279 78560310 104500035 117840465 123077819 125400042 141408558 209000070 235680930 246155638 313500105 353521395 369233457 615389095 627000210 707042790 738466914 1107700371 1230778190 1846167285 2215400742 3323101113 3692334570 5538501855 6646202226 11077003710 16615505565 33231011130