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120233400030 = 23352511774139
BaseRepresentation
bin110111111111001111…
…0000001011011011110
3102111100021100120011000
41233332132001123132
53432214222300110
6131122351011130
711454332015652
oct1577636013336
9374307316130
10120233400030
1146a99690007
121b375b09aa6
13b4516670b3
145b68340a62
1531da70b1c0
hex1bfe7816de

120233400030 has 64 divisors (see below), whose sum is σ = 321899961600. Its totient is φ = 31934484000.

The previous prime is 120233400029. The next prime is 120233400047. The reversal of 120233400030 is 30004332021.

120233400030 is a `hidden beast` number, since 1 + 2 + 0 + 233 + 400 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120233399976 and 120233400012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819300 + ... + 954839.

It is an arithmetic number, because the mean of its divisors is an integer number (5029686900).

Almost surely, 2120233400030 is an apocalyptic number.

120233400030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120233400030 is an abundant number, since it is smaller than the sum of its proper divisors (201666561570).

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

120233400030 is a wasteful number, since it uses less digits than its factorization.

120233400030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774406 (or 1774400 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 120233400030 its reverse (30004332021), we get a palindrome (150237732051).

The spelling of 120233400030 in words is "one hundred twenty billion, two hundred thirty-three million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 251 270 502 753 1255 1506 2259 2510 3765 4518 6777 7530 11295 13554 22590 33885 67770 1774139 3548278 5322417 8870695 10644834 15967251 17741390 26612085 31934502 47901753 53224170 79836255 95803506 159672510 239508765 445308889 479017530 890617778 1335926667 2226544445 2671853334 4007780001 4453088890 6679633335 8015560002 12023340003 13359266670 20038900005 24046680006 40077800010 60116700015 120233400030