Search a number
-
+
1014115212 = 22321117971553
BaseRepresentation
bin111100011100100…
…010101110001100
32121200020101112200
4330130202232030
54034103141322
6244344001500
734062560055
oct7434425614
92550211480
101014115212
11480494850
12243760290
1313213cb96
149898372c
155e06d8ac
hex3c722b8c

1014115212 has 144 divisors (see below), whose sum is σ = 2993451552. Its totient is φ = 286064640.

The previous prime is 1014115211. The next prime is 1014115213. The reversal of 1014115212 is 2125114101.

1014115212 is a `hidden beast` number, since 1 + 0 + 141 + 1 + 521 + 2 = 666.

1014115212 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 (1014115211) and next prime (1014115213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1014115211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652228 + ... + 653780.

It is an arithmetic number, because the mean of its divisors is an integer number (20787858).

Almost surely, 21014115212 is an apocalyptic number.

1014115212 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 1014115212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496725776).

1014115212 is an abundant number, since it is smaller than the sum of its proper divisors (1979336340).

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

1014115212 is a wasteful number, since it uses less digits than its factorization.

1014115212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1014115212 is about 31845.1756471840. The cubic root of 1014115212 is about 1004.6831049588.

Adding to 1014115212 its reverse (2125114101), we get a palindrome (3139229313).

The spelling of 1014115212 in words is "one billion, fourteen million, one hundred fifteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 97 99 102 132 153 187 194 198 204 291 306 374 388 396 561 582 612 748 873 1067 1122 1164 1553 1649 1683 1746 2134 2244 3106 3201 3298 3366 3492 4268 4659 4947 6212 6402 6596 6732 9318 9603 9894 12804 13977 14841 17083 18139 18636 19206 19788 26401 27954 29682 34166 36278 38412 51249 52802 54417 55908 59364 68332 72556 79203 102498 105604 108834 150641 153747 158406 163251 204996 217668 237609 290411 301282 307494 316812 326502 451923 475218 580822 602564 614988 653004 871233 903846 950436 1161644 1355769 1657051 1742466 1807692 2560897 2613699 2711538 3314102 3484932 4971153 5121794 5227398 5423076 6628204 7682691 9942306 10243588 10454796 14913459 15365382 19884612 23048073 28169867 29826918 30730764 46096146 56339734 59653836 84509601 92192292 112679468 169019202 253528803 338038404 507057606 1014115212