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30233013120 = 273255248787
BaseRepresentation
bin11100001010000001…
…110010101110000000
32220000222202012021200
4130022001302232000
5443404122404440
621515554221200
72120126241252
oct341201625600
986028665250
1030233013120
1111904825262
125a38b84800
132b0a73a99b
14166b381cd2
15bbe304c30
hex70a072b80

30233013120 has 96 divisors (see below), whose sum is σ = 104398393320. Its totient is φ = 8062135296.

The previous prime is 30233013091. The next prime is 30233013121. The reversal of 30233013120 is 2131033203.

30233013120 is a `hidden beast` number, since 30 + 23 + 301 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 30233013093 and 30233013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30233013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2618634 + ... + 2630153.

Almost surely, 230233013120 is an apocalyptic number.

30233013120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30233013120 is an abundant number, since it is smaller than the sum of its proper divisors (74165380200).

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

30233013120 is a wasteful number, since it uses less digits than its factorization.

30233013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248812 (or 5248797 counting only the distinct ones).

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

Adding to 30233013120 its reverse (2131033203), we get a palindrome (32364046323).

The spelling of 30233013120 in words is "thirty billion, two hundred thirty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 5248787 10497574 15746361 20995148 26243935 31492722 41990296 47239083 52487870 62985444 78731805 83980592 94478166 104975740 125970888 157463610 167961184 188956332 209951480 236195415 251941776 314927220 335922368 377912664 419902960 472390830 503883552 629854440 671844736 755825328 839805920 944781660 1007767104 1259708880 1511650656 1679611840 1889563320 2015534208 2519417760 3023301312 3359223680 3779126640 5038835520 6046602624 7558253280 10077671040 15116506560 30233013120