Search a number
-
+
1021421412 = 2232112923067
BaseRepresentation
bin111100111000011…
…010011101100100
32122011222120202200
4330320122131210
54042440441122
6245204334500
734211636664
oct7470323544
92564876680
101021421412
11484625030
122460a4430
131337ca58b
14999261a4
155ea135ac
hex3ce1a764

1021421412 has 108 divisors (see below), whose sum is σ = 2918072976. Its totient is φ = 298751040.

The previous prime is 1021421411. The next prime is 1021421417. The reversal of 1021421412 is 2141241201.

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 (1021421411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331503 + ... + 334569.

Almost surely, 21021421412 is an apocalyptic number.

1021421412 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 1021421412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459036488).

1021421412 is an abundant number, since it is smaller than the sum of its proper divisors (1896651564).

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

1021421412 is a wasteful number, since it uses less digits than its factorization.

1021421412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1021421412 is about 31959.6841661491. The cubic root of 1021421412 is about 1007.0900825911.

Adding to 1021421412 its reverse (2141241201), we get a palindrome (3162662613).

It can be divided in two parts, 10214 and 21412, that added together give a triangular number (31626 = T251).

The spelling of 1021421412 in words is "one billion, twenty-one million, four hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 841 957 1044 1276 1682 1914 2523 2871 3067 3364 3828 5046 5742 6134 7569 9201 9251 10092 11484 12268 15138 18402 18502 27603 27753 30276 33737 36804 37004 55206 55506 67474 83259 88943 101211 110412 111012 134948 166518 177886 202422 266829 303633 333036 355772 404844 533658 607266 800487 978373 1067316 1214532 1600974 1956746 2579347 2935119 3201948 3913492 5158694 5870238 7738041 8805357 10317388 11740476 15476082 17610714 23214123 28372817 30952164 35221428 46428246 56745634 85118451 92856492 113491268 170236902 255355353 340473804 510710706 1021421412