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1012142532 = 2231789107521
BaseRepresentation
bin111100010101000…
…001000111000100
32121112112011112110
4330111001013010
54033102030112
6244233421020
734040032602
oct7425010704
92545464473
101012142532
1147a367735
12242b6a770
131318cc00b
14985cc872
155dcce13c
hex3c5411c4

1012142532 has 96 divisors (see below), whose sum is σ = 2557215360. Its totient is φ = 310435840.

The previous prime is 1012142507. The next prime is 1012142533. The reversal of 1012142532 is 2352412101.

It is a junction number, because it is equal to n+sod(n) for n = 1012142499 and 1012142508.

It is not an unprimeable number, because it can be changed into a prime (1012142533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942432 + ... + 1942952.

It is an arithmetic number, because the mean of its divisors is an integer number (26637660).

Almost surely, 21012142532 is an apocalyptic number.

1012142532 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 1012142532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278607680).

1012142532 is an abundant number, since it is smaller than the sum of its proper divisors (1545072828).

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

1012142532 is a wasteful number, since it uses less digits than its factorization.

1012142532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1012142532 is about 31814.1875898160. The cubic root of 1012142532 is about 1004.0312379502.

Adding to 1012142532 its reverse (2352412101), we get a palindrome (3364554633).

The spelling of 1012142532 in words is "one billion, twelve million, one hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 107 178 204 214 267 321 356 428 521 534 642 1042 1068 1284 1513 1563 1819 2084 3026 3126 3638 4539 5457 6052 6252 7276 8857 9078 9523 10914 17714 18156 19046 21828 26571 28569 35428 38092 46369 53142 55747 57138 92738 106284 111494 114276 139107 161891 167241 185476 222988 278214 323782 334482 485673 556428 647564 668964 788273 947699 971346 1576546 1895398 1942692 2364819 2843097 3153092 3790796 4729638 4961483 5686194 9459276 9922966 11372388 14884449 19845932 29768898 59537796 84345211 168690422 253035633 337380844 506071266 1012142532