Search a number
-
+
33012030012120 = 23325175394122551
BaseRepresentation
bin1111000000110001101100…
…10100100111101011011000
311022212220211010112222011200
413200120312110213223120
513311332114140341440
6154113303415354200
76645016610146035
oct740306624475330
9138786733488150
1033012030012120
11a578361357a05
123851b52082960
1315560373b1303
14821b0dc7438c
153c3aba71ac30
hex1e0636527ad8

33012030012120 has 96 divisors (see below), whose sum is σ = 113600220945120. Its totient is φ = 8285372236800.

The previous prime is 33012030012107. The next prime is 33012030012139. The reversal of 33012030012120 is 2121003021033.

33012030012120 is a `hidden beast` number, since 3 + 30 + 120 + 300 + 1 + 212 + 0 = 666.

It is a super-2 number, since 2×330120300121202 (a number of 28 digits) contains 22 as substring.

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 = 33012030012093 and 33012030012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2697055156 + ... + 2697067395.

It is an arithmetic number, because the mean of its divisors is an integer number (1183335634845).

Almost surely, 233012030012120 is an apocalyptic number.

33012030012120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33012030012120 is an abundant number, since it is smaller than the sum of its proper divisors (80588190933000).

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

33012030012120 is a wasteful number, since it uses less digits than its factorization.

33012030012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394122585 (or 5394122578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33012030012120 its reverse (2121003021033), we get a palindrome (35133033033153).

The spelling of 33012030012120 in words is "thirty-three trillion, twelve billion, thirty million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 5394122551 10788245102 16182367653 21576490204 26970612755 32364735306 43152980408 48547102959 53941225510 64729470612 80911838265 91700083367 97094205918 107882451020 129458941224 161823676530 183400166734 194188411836 215764902040 242735514795 275100250101 323647353060 366800333468 388376823672 458500416835 485471029590 550200500202 647294706120 733600666936 825300750303 917000833670 970942059180 1100401000404 1375501250505 1650601500606 1834001667340 1941884118360 2200802000808 2751002501010 3301203001212 3668003334680 4126503751515 5502005002020 6602406002424 8253007503030 11004010004040 16506015006060 33012030012120