Search a number
-
+
102233022120 = 23325713999727
BaseRepresentation
bin101111100110110010…
…0000001111010101000
3100202212210110121201200
41133031210001322220
53133333123201440
6114544252244200
710246300231035
oct1371544017250
9322783417650
10102233022120
113a3a196a729
1217991770660
1398433337c8
144d3b85638c
1529d52cac30
hex17cd901ea8

102233022120 has 96 divisors (see below), whose sum is σ = 336937086720. Its totient is φ = 26878158720.

The previous prime is 102233022103. The next prime is 102233022169. The reversal of 102233022120 is 21220332201.

102233022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 102233022093 and 102233022102.

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, 1974304 + ... + 2025423.

It is an arithmetic number, because the mean of its divisors is an integer number (3509761320).

Almost surely, 2102233022120 is an apocalyptic number.

102233022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102233022120 is an abundant number, since it is smaller than the sum of its proper divisors (234704064600).

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

102233022120 is a wasteful number, since it uses less digits than its factorization.

102233022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999815 (or 3999808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102233022120 its reverse (21220332201), we get a palindrome (123453354321).

The spelling of 102233022120 in words is "one hundred two billion, two hundred thirty-three million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 3999727 7999454 11999181 15998908 19998635 23998362 31997816 35997543 39997270 47996724 59995905 71995086 79994540 95993448 119991810 143990172 159989080 179987715 239983620 283980617 287980344 359975430 479967240 567961234 719950860 851941851 1135922468 1419903085 1439901720 1703883702 2271844936 2555825553 2839806170 3407767404 4259709255 5111651106 5679612340 6815534808 8519418510 10223302212 11359224680 12779127765 17038837020 20446604424 25558255530 34077674040 51116511060 102233022120