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120120110010 = 23255325182413
BaseRepresentation
bin110111111011110110…
…1110110101110111010
3102111001101011211110100
41233313231312232322
53432001222010020
6131103222500230
711451455042235
oct1576755665672
9374041154410
10120120110010
1146a4074159a
121b343b94676
13b43404c394
145b5729041c
1531d07cda90
hex1bf7b76bba

120120110010 has 48 divisors (see below), whose sum is σ = 318204983304. Its totient is φ = 31427650176.

The previous prime is 120120110009. The next prime is 120120110039. The reversal of 120120110010 is 10011021021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 119956244409 + 163865601 = 346347^2 + 12801^2 .

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 = 120120109974 and 120120110001.

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, 12586437 + ... + 12595976.

Almost surely, 2120120110010 is an apocalyptic number.

120120110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120120110010 is an abundant number, since it is smaller than the sum of its proper divisors (198084873294).

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

120120110010 is a wasteful number, since it uses less digits than its factorization.

120120110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25182479 (or 25182476 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120120110010 its reverse (10011021021), we get a palindrome (130131131031).

The spelling of 120120110010 in words is "one hundred twenty billion, one hundred twenty million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 25182413 50364826 75547239 125912065 151094478 226641717 251824130 377736195 453283434 755472390 1133208585 1334667889 2266417170 2669335778 4004003667 6673339445 8008007334 12012011001 13346678890 20020018335 24024022002 40040036670 60060055005 120120110010