Search a number
-
+
1012141224 = 233343591847
BaseRepresentation
bin111100010101000…
…000110010101000
32121112112002202000
4330111000302220
54033102004344
6244233411000
734040026023
oct7425006250
92545462660
101012141224
1147a366756
12242b69a60
131318cb543
14985cc1ba
155dccda69
hex3c540ca8

1012141224 has 128 divisors (see below), whose sum is σ = 2927232000. Its totient is φ = 323773632.

The previous prime is 1012141217. The next prime is 1012141231. The reversal of 1012141224 is 4221412101.

It is an interprime number because it is at equal distance from previous prime (1012141217) and next prime (1012141231).

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

It is a junction number, because it is equal to n+sod(n) for n = 1012141197 and 1012141206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547069 + ... + 548915.

It is an arithmetic number, because the mean of its divisors is an integer number (22869000).

Almost surely, 21012141224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616000).

1012141224 is an abundant number, since it is smaller than the sum of its proper divisors (1915090776).

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

1012141224 is a wasteful number, since it uses less digits than its factorization.

1012141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1954 counting only the distinct ones).

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

The square root of 1012141224 is about 31814.1670329430. The cubic root of 1012141224 is about 1004.0308054441.

Adding to 1012141224 its reverse (4221412101), we get a palindrome (5233553325).

The spelling of 1012141224 in words is "one billion, twelve million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 59 72 86 108 118 129 172 177 216 236 258 344 354 387 472 516 531 708 774 1032 1062 1161 1416 1548 1593 1847 2124 2322 2537 3096 3186 3694 4248 4644 5074 5541 6372 7388 7611 9288 10148 11082 12744 14776 15222 16623 20296 22164 22833 30444 33246 44328 45666 49869 60888 66492 68499 79421 91332 99738 108973 132984 136998 158842 182664 199476 217946 238263 273996 317684 326919 398952 435892 476526 547992 635368 653838 714789 871784 953052 980757 1307676 1429578 1906104 1961514 2144367 2615352 2859156 2942271 3923028 4288734 4685839 5718312 5884542 7846056 8577468 9371678 11769084 14057517 17154936 18743356 23538168 28115034 37486712 42172551 56230068 84345102 112460136 126517653 168690204 253035306 337380408 506070612 1012141224