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1012134032 = 2471317103397
BaseRepresentation
bin111100010100111…
…111000010010000
32121112111201212122
4330110333002100
54033101242112
6244233313412
734036666040
oct7424770220
92545451778
101012134032
1147a361308
12242b65868
131318c81a0
14985c9720
155dccb872
hex3c53f090

1012134032 has 160 divisors (see below), whose sum is σ = 2586834432. Its totient is φ = 372252672.

The previous prime is 1012134023. The next prime is 1012134037. The reversal of 1012134032 is 2304312101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1012134032.

It is not an unprimeable number, because it can be changed into a prime (1012134037) 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, 2549258 + ... + 2549654.

Almost surely, 21012134032 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 1012134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293417216).

1012134032 is an abundant number, since it is smaller than the sum of its proper divisors (1574700400).

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

1012134032 is a wasteful number, since it uses less digits than its factorization.

1012134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1012134032 is about 31814.0540013372. The cubic root of 1012134032 is about 1004.0284273153.

Adding to 1012134032 its reverse (2304312101), we get a palindrome (3316446133).

The spelling of 1012134032 in words is "one billion, twelve million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 103 104 112 119 136 182 206 208 221 238 272 364 397 412 442 476 721 728 794 824 884 952 1339 1442 1456 1547 1588 1648 1751 1768 1904 2678 2779 2884 3094 3176 3502 3536 5161 5356 5558 5768 6188 6352 6749 7004 9373 10322 10712 11116 11536 12257 12376 13498 14008 18746 20644 21424 22232 22763 24514 24752 26996 28016 36127 37492 40891 41288 44464 45526 47243 49028 53992 72254 74984 81782 82576 87737 91052 94486 98056 107984 144508 149968 159341 163564 175474 182104 188972 196112 286237 289016 318682 327128 350948 364208 377944 531583 572474 578032 614159 637364 654256 695147 701896 755888 1063166 1144948 1228318 1274728 1390294 1403792 2126332 2289896 2456636 2549456 2780588 3721081 4252664 4579792 4866029 4913272 5561176 7442162 8505328 9036911 9732058 9826544 11122352 14884324 18073822 19464116 29768648 36147644 38928232 59537296 63258377 72295288 77856464 126516754 144590576 253033508 506067016 1012134032