Search a number
-
+
1022112312 = 233138936809
BaseRepresentation
bin111100111011000…
…011001000111000
32122020021200111120
4330323003020320
54043130043222
6245231225240
734220545164
oct7473031070
92566250446
101022112312
11484a57121
12246378220
131339acbb0
1499a65ca4
155eaed15c
hex3cec3238

1022112312 has 64 divisors (see below), whose sum is σ = 2782836000. Its totient is φ = 310953984.

The previous prime is 1022112307. The next prime is 1022112317. The reversal of 1022112312 is 2132112201.

1022112312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1022112307) and next prime (1022112317).

It is a junction number, because it is equal to n+sod(n) for n = 1022112291 and 1022112300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022112317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9364 + ... + 46172.

Almost surely, 21022112312 is an apocalyptic number.

1022112312 is a gapful number since it is divisible by the number (12) 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 1022112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391418000).

1022112312 is an abundant number, since it is smaller than the sum of its proper divisors (1760723688).

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

1022112312 is a wasteful number, since it uses less digits than its factorization.

1022112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36920 (or 36916 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1022112312 is about 31970.4912692939. The cubic root of 1022112312 is about 1007.3171001267.

Adding to 1022112312 its reverse (2132112201), we get a palindrome (3154224513).

The spelling of 1022112312 in words is "one billion, twenty-two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 356 534 712 1068 1157 2136 2314 3471 4628 6942 9256 13884 27768 36809 73618 110427 147236 220854 294472 441708 478517 883416 957034 1435551 1914068 2871102 3276001 3828136 5742204 6552002 9828003 11484408 13104004 19656006 26208008 39312012 42588013 78624024 85176026 127764039 170352052 255528078 340704104 511056156 1022112312