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30121332120 = 23325117606397
BaseRepresentation
bin11100000011010111…
…110000110110011000
32212202012121012202100
4130003113300312120
5443142030111440
621500524403400
72114302045545
oct340327606630
985665535670
1030121332120
1111857785710
125a076a6560
132ac0567459
14165a5cdbcc
15bb45e4230
hex7035f0d98

30121332120 has 96 divisors (see below), whose sum is σ = 106793827920. Its totient is φ = 7302140160.

The previous prime is 30121332119. The next prime is 30121332121. The reversal of 30121332120 is 2123312103.

30121332120 is a `hidden beast` number, since 301 + 21 + 3 + 321 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (30121332119) and next prime (30121332121).

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 = 30121332093 and 30121332102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121332121) 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 23 ways as a sum of consecutive naturals, for example, 3799239 + ... + 3807158.

Almost surely, 230121332120 is an apocalyptic number.

30121332120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30121332120 is an abundant number, since it is smaller than the sum of its proper divisors (76672495800).

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

30121332120 is a wasteful number, since it uses less digits than its factorization.

30121332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606425 (or 7606418 counting only the distinct ones).

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

Adding to 30121332120 its reverse (2123312103), we get a palindrome (32244644223).

It can be divided in two parts, 301213 and 32120, that added together give a palindrome (333333).

The spelling of 30121332120 in words is "thirty billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 7606397 15212794 22819191 30425588 38031985 45638382 60851176 68457573 76063970 83670367 91276764 114095955 136915146 152127940 167340734 182553528 228191910 251011101 273830292 304255880 334681468 342287865 418351835 456383820 502022202 547660584 669362936 684575730 753033303 836703670 912767640 1004044404 1255055505 1369151460 1506066606 1673407340 2008088808 2510111010 2738302920 3012133212 3346814680 3765166515 5020222020 6024266424 7530333030 10040444040 15060666060 30121332120