[go: up one dir, main page]

Search a number
-
+
1020112002 = 233713207593
BaseRepresentation
bin111100110011011…
…010110010000010
32122002112001121000
4330303122302002
54042122041002
6245120312430
734164544320
oct7463326202
92562461530
101020112002
11483910278
12245772716
1313345c590
14996a4d10
155e85561c
hex3ccdac82

1020112002 has 64 divisors (see below), whose sum is σ = 2790063360. Its totient is φ = 269039232.

The previous prime is 1020111991. The next prime is 1020112003. The reversal of 1020112002 is 2002110201.

1020112002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1020112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98883 + ... + 108710.

It is an arithmetic number, because the mean of its divisors is an integer number (43594740).

Almost surely, 21020112002 is an apocalyptic number.

1020112002 is an abundant number, since it is smaller than the sum of its proper divisors (1769951358).

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

1020112002 is a wasteful number, since it uses less digits than its factorization.

1020112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207624 (or 207618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020112002 is about 31939.1922565365. The cubic root of 1020112002 is about 1006.6595525766.

Adding to 1020112002 its reverse (2002110201), we get a palindrome (3022222203).

The spelling of 1020112002 in words is "one billion, twenty million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 207593 415186 622779 1245558 1453151 1868337 2698709 2906302 3736674 4359453 5397418 5605011 8096127 8718906 11210022 13078359 16192254 18890963 24288381 26156718 37781926 39235077 48576762 56672889 72865143 78470154 113345778 145730286 170018667 340037334 510056001 1020112002