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1211120010 = 232589151201
BaseRepresentation
bin100100000110000…
…0011100110001010
310010101221021022200
41020030003212022
54440021320020
6320102301030
742004231062
oct11014034612
93111837280
101211120010
11571711431
12299727776
13163bb8a79
14b6bc63a2
15714d5590
hex4830398a

1211120010 has 48 divisors (see below), whose sum is σ = 3184314120. Its totient is φ = 319334400.

The previous prime is 1211120003. The next prime is 1211120083. The reversal of 1211120010 is 100211121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 560410929 + 650709081 = 23673^2 + 25509^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1211119974 and 1211120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67591 + ... + 83610.

Almost surely, 21211120010 is an apocalyptic number.

1211120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1211120010 is an abundant number, since it is smaller than the sum of its proper divisors (1973194110).

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

1211120010 is a wasteful number, since it uses less digits than its factorization.

1211120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151303 (or 151300 counting only the distinct ones).

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

The square root of 1211120010 is about 34801.1495499789. The cubic root of 1211120010 is about 1065.9309191659.

Adding to 1211120010 its reverse (100211121), we get a palindrome (1311331131).

The spelling of 1211120010 in words is "one billion, two hundred eleven million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 151201 302402 453603 756005 907206 1360809 1512010 2268015 2721618 4536030 6804045 13456889 13608090 26913778 40370667 67284445 80741334 121112001 134568890 201853335 242224002 403706670 605560005 1211120010