Search a number
-
+
1013211136 = 213717669
BaseRepresentation
bin111100011001000…
…110000000000000
32121121112110101101
4330121012000000
54033340224021
6244312344144
734052103220
oct7431060000
92547473341
101013211136
1147aa27583
122433a5054
13131bb4522
14987ca080
155de40a91
hex3c646000

1013211136 has 56 divisors (see below), whose sum is σ = 2315900880. Its totient is φ = 434208768.

The previous prime is 1013211131. The next prime is 1013211163. The reversal of 1013211136 is 6311123101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10132111362 = 2053193612228820992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013211131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48510 + ... + 66178.

Almost surely, 21013211136 is an apocalyptic number.

1013211136 is a gapful number since it is divisible by the number (16) 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 1013211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157950440).

1013211136 is an abundant number, since it is smaller than the sum of its proper divisors (1302689744).

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

1013211136 is an frugal number, since it uses more digits than its factorization.

1013211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702 (or 17678 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1013211136 is about 31830.9776161525. The cubic root of 1013211136 is about 1004.3844604120.

Adding to 1013211136 its reverse (6311123101), we get a palindrome (7324334237).

The spelling of 1013211136 in words is "one billion, thirteen million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 17669 28672 35338 57344 70676 123683 141352 247366 282704 494732 565408 989464 1130816 1978928 2261632 3957856 4523264 7915712 9046528 15831424 18093056 31662848 36186112 63325696 72372224 126651392 144744448 253302784 506605568 1013211136