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120231020 = 225713312131
BaseRepresentation
bin1110010101010…
…01010001101100
322101020100221202
413022221101230
5221234343040
615532545032
72656642520
oct712512154
9271210852
10120231020
116195a388
1234322178
131bba8120
1411d79d80
15a84e015
hex72a946c

120231020 has 96 divisors (see below), whose sum is σ = 320925696. Its totient is φ = 36806400.

The previous prime is 120230963. The next prime is 120231043. The reversal of 120231020 is 20132021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120230992 and 120231010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55355 + ... + 57485.

It is an arithmetic number, because the mean of its divisors is an integer number (3342976).

Almost surely, 2120231020 is an apocalyptic number.

120231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160462848).

120231020 is an abundant number, since it is smaller than the sum of its proper divisors (200694676).

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

120231020 is a wasteful number, since it uses less digits than its factorization.

120231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 120231020 is about 10964.9906520708. The cubic root of 120231020 is about 493.5587365807.

Adding to 120231020 its reverse (20132021), we get a palindrome (140363041).

The spelling of 120231020 in words is "one hundred twenty million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 2015 2131 2170 2821 4030 4262 4340 5642 8060 8524 10655 11284 14105 14917 21310 27703 28210 29834 42620 55406 56420 59668 66061 74585 110812 132122 138515 149170 193921 264244 277030 298340 330305 387842 462427 554060 660610 775684 858793 924854 969605 1321220 1717586 1849708 1939210 2312135 3435172 3878420 4293965 4624270 6011551 8587930 9248540 12023102 17175860 24046204 30057755 60115510 120231020