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5135314002 = 23713151199313
BaseRepresentation
bin1001100100001011…
…01010110001010010
3111020212222222110220
410302011222301102
541004120022002
62205323333510
7241154306640
oct46205526122
914225888426
105135314002
1121a5829465
12bb3981296
1363abb8050
1436a046190
15200c847bc
hex13216ac52

5135314002 has 128 divisors (see below), whose sum is σ = 12829286400. Its totient is φ = 1334361600.

The previous prime is 5135313979. The next prime is 5135314003. The reversal of 5135314002 is 2004135315.

It is not an unprimeable number, because it can be changed into a prime (5135314003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16406598 + ... + 16406910.

It is an arithmetic number, because the mean of its divisors is an integer number (100228800).

Almost surely, 25135314002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135314002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414643200).

5135314002 is an abundant number, since it is smaller than the sum of its proper divisors (7693972398).

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

5135314002 is a wasteful number, since it uses less digits than its factorization.

5135314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5135314002 is about 71661.1052245219. The cubic root of 5135314002 is about 1725.2644279364.

Adding to 5135314002 its reverse (2004135315), we get a palindrome (7139449317).

The spelling of 5135314002 in words is "five billion, one hundred thirty-five million, three hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 151 182 199 273 302 313 398 453 546 597 626 906 939 1057 1194 1393 1878 1963 2114 2191 2587 2786 3171 3926 4069 4179 4382 5174 5889 6342 6573 7761 8138 8358 11778 12207 13146 13741 15522 18109 24414 27482 28483 30049 36218 41223 47263 54327 56966 60098 62287 82446 85449 90147 94526 108654 124574 141789 170898 180294 186861 210343 283578 330841 373722 390637 420686 436009 614419 631029 661682 781274 809731 872018 992523 1171911 1228838 1262058 1308027 1619462 1843257 1985046 2343822 2429193 2616054 2734459 3686514 4300933 4858386 5468918 5668117 8203377 8601866 9405337 11336234 12902799 16406754 17004351 18810674 25805598 28216011 34008702 56432022 65837359 122269381 131674718 197512077 244538762 366808143 395024154 733616286 855885667 1711771334 2567657001 5135314002