Search a number
-
+
1021211412 = 2231359181613
BaseRepresentation
bin111100110111100…
…111001100010100
32122011120220200220
4330313213030110
54042412231122
6245200034340
734210103514
oct7467471424
92564526626
101021211412
114844a1281
122460029b0
13133755b10
14998ad844
155e9c125c
hex3cde7314

1021211412 has 96 divisors (see below), whose sum is σ = 2628312960. Its totient is φ = 306685440.

The previous prime is 1021211377. The next prime is 1021211419. The reversal of 1021211412 is 2141121201.

It is a junction number, because it is equal to n+sod(n) for n = 1021211391 and 1021211400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021211419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665618 + ... + 1666230.

It is an arithmetic number, because the mean of its divisors is an integer number (27378260).

Almost surely, 21021211412 is an apocalyptic number.

1021211412 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 1021211412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314156480).

1021211412 is an abundant number, since it is smaller than the sum of its proper divisors (1607101548).

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

1021211412 is a wasteful number, since it uses less digits than its factorization.

1021211412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1021211412 is about 31956.3986081035. The cubic root of 1021211412 is about 1007.0210600146.

Adding to 1021211412 its reverse (2141121201), we get a palindrome (3162332613).

The spelling of 1021211412 in words is "one billion, twenty-one million, two hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 181 236 354 362 543 613 708 724 767 1086 1226 1534 1839 2172 2301 2353 2452 3068 3678 4602 4706 7059 7356 7969 9204 9412 10679 14118 15938 21358 23907 28236 31876 32037 36167 42716 47814 64074 72334 95628 108501 110953 128148 138827 144668 217002 221906 277654 332859 416481 434004 443812 470171 555308 665718 832962 940342 1331436 1410513 1442389 1665924 1880684 2821026 2884778 4327167 5642052 5769556 6546227 8654334 13092454 17308668 19638681 26184908 39277362 78554724 85100951 170201902 255302853 340403804 510605706 1021211412