Search a number
-
+
30033321120 = 25325111896043
BaseRepresentation
bin11011111110001000…
…000001110010100000
32212112001222210100200
4123332020001302200
5443002012233440
621444102145200
72112153005655
oct337610016240
985461883320
1030033321120
1111812032750
1259a2122200
132aa826093a
14164ca3dc2c
15baba0bc30
hex6fe201ca0

30033321120 has 144 divisors (see below), whose sum is σ = 111805922592. Its totient is φ = 7280801280.

The previous prime is 30033321113. The next prime is 30033321187. The reversal of 30033321120 is 2112333003.

30033321120 is a `hidden beast` number, since 300 + 3 + 332 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 30033321093 and 30033321102.

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, 932182 + ... + 963861.

It is an arithmetic number, because the mean of its divisors is an integer number (776430018).

Almost surely, 230033321120 is an apocalyptic number.

30033321120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30033321120 is an abundant number, since it is smaller than the sum of its proper divisors (81772601472).

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

30033321120 is a wasteful number, since it uses less digits than its factorization.

30033321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896075 (or 1896064 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30033321120 its reverse (2112333003), we get a palindrome (32145654123).

It can be divided in two parts, 30033 and 321120, that added together give a palindrome (351153).

The spelling of 30033321120 in words is "thirty billion, thirty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 1896043 3792086 5688129 7584172 9480215 11376258 15168344 17064387 18960430 20856473 22752516 28440645 30336688 34128774 37920860 41712946 45505032 56881290 60673376 62569419 68257548 75841720 83425892 85321935 91010064 104282365 113762580 125138838 136515096 151683440 166851784 170643870 182020128 187708257 208564730 227525160 250277676 273030192 303366880 312847095 333703568 341287740 375416514 417129460 455050320 500555352 546060384 625694190 667407136 682575480 750833028 834258920 910100640 938541285 1001110704 1251388380 1365150960 1501666056 1668517840 1877082570 2002221408 2502776760 2730301920 3003332112 3337035680 3754165140 5005553520 6006664224 7508330280 10011107040 15016660560 30033321120