Search a number
-
+
33031101120 = 263534407397
BaseRepresentation
bin11110110000110011…
…101001101011000000
310011020222211210102120
4132300303221223000
51020121430213440
623101351044240
72246353504233
oct366063515300
9104228753376
1033031101120
1113010217186
12649a070680
133165348864
141854c2941a
15cd4cb2dd0
hex7b0ce9ac0

33031101120 has 56 divisors (see below), whose sum is σ = 104873749104. Its totient is φ = 8808293376.

The previous prime is 33031101091. The next prime is 33031101127. The reversal of 33031101120 is 2110113033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33031101120.

It is not an unprimeable number, because it can be changed into a prime (33031101127) 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 7 ways as a sum of consecutive naturals, for example, 17202739 + ... + 17204658.

Almost surely, 233031101120 is an apocalyptic number.

33031101120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33031101120 is an abundant number, since it is smaller than the sum of its proper divisors (71842647984).

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

33031101120 is a wasteful number, since it uses less digits than its factorization.

33031101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34407417 (or 34407407 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 33031101120 its reverse (2110113033), we get a palindrome (35141214153).

The spelling of 33031101120 in words is "thirty-three billion, thirty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 34407397 68814794 103222191 137629588 172036985 206444382 275259176 344073970 412888764 516110955 550518352 688147940 825777528 1032221910 1101036704 1376295880 1651555056 2064443820 2202073408 2752591760 3303110112 4128887640 5505183520 6606220224 8257775280 11010367040 16515550560 33031101120