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1013396293 = 721319313773
BaseRepresentation
bin111100011001110…
…011001101000101
32121121212212101001
4330121303031011
54033412140133
6244320333301
734053504100
oct7431631505
92547785331
101013396293
114800436a8
12243474231
13131c4a8a0
1498837737
155de7a87d
hex3c673345

1013396293 has 96 divisors (see below), whose sum is σ = 1436144640. Its totient is φ = 705438720.

The previous prime is 1013396291. The next prime is 1013396339. The reversal of 1013396293 is 3926933101.

It is not a de Polignac number, because 1013396293 - 21 = 1013396291 is a prime.

It is a super-2 number, since 2×10133962932 = 2053944093332283698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1013396293 = 4053 + 9823 = 5863 + 9333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013396291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13882105 + ... + 13882177.

It is an arithmetic number, because the mean of its divisors is an integer number (14959840).

Almost surely, 21013396293 is an apocalyptic number.

1013396293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013396293 is a deficient number, since it is larger than the sum of its proper divisors (422748347).

1013396293 is a wasteful number, since it uses less digits than its factorization.

1013396293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 1013396293 is about 31833.8859236506. The cubic root of 1013396293 is about 1004.4456380152.

The spelling of 1013396293 in words is "one billion, thirteen million, three hundred ninety-six thousand, two hundred ninety-three".

Divisors: 1 7 13 19 31 37 49 73 91 133 217 247 259 403 481 511 589 637 703 931 949 1147 1387 1519 1729 1813 2263 2701 2821 3367 3577 4123 4921 6643 7657 8029 9139 9709 12103 14911 15841 18031 18907 19747 21793 23569 28861 29419 34447 35113 42997 46501 51319 53599 56203 63973 67963 83731 104377 110887 126217 132349 152551 205933 245791 283309 300979 359233 375193 447811 558961 586117 667147 730639 883519 1067857 1088503 1441531 1590889 1720537 1983163 2106853 2514631 3912727 4102819 4670029 7619521 11136223 13882141 20681557 27389089 32690203 53336647 77953561 144770899 1013396293