Search a number
-
+
1012011330 = 235112793529
BaseRepresentation
bin111100010100100…
…001000101000010
32121112021111120010
4330110201011002
54033033330310
6244230525350
734035645231
oct7424410502
92545244503
101012011330
1147a288100
12242b06856
13131884395
1498596b18
155dca5320
hex3c521142

1012011330 has 96 divisors (see below), whose sum is σ = 2704262400. Its totient is φ = 242161920.

The previous prime is 1012011313. The next prime is 1012011331. The reversal of 1012011330 is 331102101.

It is not an unprimeable number, because it can be changed into a prime (1012011331) 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 47 ways as a sum of consecutive naturals, for example, 285006 + ... + 288534.

It is an arithmetic number, because the mean of its divisors is an integer number (28169400).

Almost surely, 21012011330 is an apocalyptic number.

1012011330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352131200).

1012011330 is an abundant number, since it is smaller than the sum of its proper divisors (1692251070).

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

1012011330 is a wasteful number, since it uses less digits than its factorization.

1012011330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1012011330 is about 31812.1255184246. The cubic root of 1012011330 is about 1003.9878525591.

Adding to 1012011330 its reverse (331102101), we get a palindrome (1343113431).

The spelling of 1012011330 in words is "one billion, twelve million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 121 158 165 237 242 330 363 395 474 605 726 790 869 1185 1210 1738 1815 2370 2607 3529 3630 4345 5214 7058 8690 9559 10587 13035 17645 19118 21174 26070 28677 35290 38819 47795 52935 57354 77638 95590 105870 116457 143385 194095 232914 278791 286770 388190 427009 557582 582285 836373 854018 1164570 1281027 1393955 1672746 2135045 2562054 2787910 3066701 4181865 4270090 6133402 6405135 8363730 9200103 12810270 15333505 18400206 30667010 33733711 46000515 67467422 92001030 101201133 168668555 202402266 337337110 506005665 1012011330