Search a number
-
+
1013210112 = 21031917359
BaseRepresentation
bin111100011001000…
…101110000000000
32121121112101222110
4330121011300000
54033340210422
6244312335320
734052100225
oct7431056000
92547471873
101013210112
1147aa26832
122433a4540
13131bb3c15
14987c994c
155de4060c
hex3c645c00

1013210112 has 88 divisors (see below), whose sum is σ = 2842873600. Its totient is φ = 319942656.

The previous prime is 1013210069. The next prime is 1013210117. The reversal of 1013210112 is 2110123101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013210117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49689 + ... + 67047.

Almost surely, 21013210112 is an apocalyptic number.

1013210112 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 1013210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421436800).

1013210112 is an abundant number, since it is smaller than the sum of its proper divisors (1829663488).

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

1013210112 is a wasteful number, since it uses less digits than its factorization.

1013210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17401 (or 17383 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1013210112 is about 31830.9615311885. The cubic root of 1013210112 is about 1004.3841220521.

Adding to 1013210112 its reverse (2110123101), we get a palindrome (3123333213).

The spelling of 1013210112 in words is "one billion, thirteen million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 17359 19456 29184 34718 52077 58368 69436 104154 138872 208308 277744 329821 416616 555488 659642 833232 989463 1110976 1319284 1666464 1978926 2221952 2638568 3332928 3957852 4443904 5277136 6665856 7915704 8887808 10554272 13331712 15831408 17775616 21108544 26663424 31662816 42217088 53326848 63325632 84434176 126651264 168868352 253302528 337736704 506605056 1013210112