Search a number
-
+
120242340120 = 23357143145643
BaseRepresentation
bin110111111111100000…
…0001000000100011000
3102111100220011202122110
41233333000020010120
53432224014340440
6131123310352320
711454501012240
oct1577700100430
9374326152573
10120242340120
1146aa3736911
121b378abb6a0
13b4534773a6
145b695cab20
1531db3c5080
hex1bff008118

120242340120 has 64 divisors (see below), whose sum is σ = 412259454720. Its totient is φ = 27483963264.

The previous prime is 120242340091. The next prime is 120242340121. The reversal of 120242340120 is 21043242021.

It is a super-2 number, since 2×1202423401202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120242340121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71571982 + ... + 71573661.

It is an arithmetic number, because the mean of its divisors is an integer number (6441553980).

Almost surely, 2120242340120 is an apocalyptic number.

120242340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120242340120 is an abundant number, since it is smaller than the sum of its proper divisors (292017114600).

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

120242340120 is a wasteful number, since it uses less digits than its factorization.

120242340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143145664 (or 143145660 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 120242340120 its reverse (21043242021), we get a palindrome (141285582141).

The spelling of 120242340120 in words is "one hundred twenty billion, two hundred forty-two million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 143145643 286291286 429436929 572582572 715728215 858873858 1002019501 1145165144 1431456430 1717747716 2004039002 2147184645 2862912860 3006058503 3435495432 4008078004 4294369290 5010097505 5725825720 6012117006 8016156008 8588738580 10020195010 12024234012 15030292515 17177477160 20040390020 24048468024 30060585030 40080780040 60121170060 120242340120