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120131010 = 23251778517
BaseRepresentation
bin1110010100100…
…00110111000010
322101001021202200
413022100313002
5221223143020
615530454030
72656045116
oct712206702
9271037680
10120131010
11618a122a
1234294316
131bb7174c
1411d51746
15a82e590
hex7290dc2

120131010 has 48 divisors (see below), whose sum is σ = 330717816. Its totient is φ = 30150144.

The previous prime is 120130999. The next prime is 120131023. The reversal of 120131010 is 10131021.

It can be written as a sum of positive squares in 4 ways, for example, as 120099681 + 31329 = 10959^2 + 177^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120130983 and 120131001.

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, 37729 + ... + 40788.

Almost surely, 2120131010 is an apocalyptic number.

120131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120131010 is an abundant number, since it is smaller than the sum of its proper divisors (210586806).

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

120131010 is a wasteful number, since it uses less digits than its factorization.

120131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78547 (or 78544 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 120131010 is about 10960.4292799142. The cubic root of 120131010 is about 493.4218487184.

Adding to 120131010 its reverse (10131021), we get a palindrome (130262031).

The spelling of 120131010 in words is "one hundred twenty million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 78517 157034 235551 392585 471102 706653 785170 1177755 1334789 1413306 2355510 2669578 3533265 4004367 6673945 7066530 8008734 12013101 13347890 20021835 24026202 40043670 60065505 120131010