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3116325656300 = 22521717343924137
BaseRepresentation
bin101101010110010011011…
…110111101011011101100
3102000220210002111212221212
4231112103132331123230
5402024213332000200
610343341550013552
7441101312010143
oct55262336753354
912026702455855
103116325656300
11aa169865500a
12423b6b1a72b8
13197b397074ac
14aab8c25a75a
15560e1d50035
hex2d5937bd6ec

3116325656300 has 144 divisors (see below), whose sum is σ = 7218308623680. Its totient is φ = 1163718205440.

The previous prime is 3116325656299. The next prime is 3116325656309. The reversal of 3116325656300 is 36565236113.

It is a super-2 number, since 2×31163256563002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3116325656309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129097832 + ... + 129121968.

It is an arithmetic number, because the mean of its divisors is an integer number (50127143220).

Almost surely, 23116325656300 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 3116325656300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609154311840).

3116325656300 is an abundant number, since it is smaller than the sum of its proper divisors (4101982967380).

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

3116325656300 is a wasteful number, since it uses less digits than its factorization.

3116325656300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24780 (or 24773 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

The spelling of 3116325656300 in words is "three trillion, one hundred sixteen billion, three hundred twenty-five million, six hundred fifty-six thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 173 340 346 425 439 692 850 865 878 1700 1730 1756 2195 2941 3460 4325 4390 5882 7463 8650 8780 10975 11764 14705 14926 17300 21950 24137 29410 29852 37315 43900 48274 58820 73525 74630 75947 96548 120685 147050 149260 151894 186575 241370 294100 303788 373150 379735 410329 482740 603425 746300 759470 820658 1206850 1291099 1518940 1641316 1898675 2051645 2413700 2582198 3797350 4103290 4175701 5164396 6455495 7594700 8206580 8351402 10258225 10596143 12910990 16702804 20516450 20878505 21192286 25821980 32277475 41032900 41757010 42384572 52980715 64554950 70986917 83514020 104392525 105961430 129109900 141973834 180134431 208785050 211922860 264903575 283947668 354934585 360268862 417570100 529807150 709869170 720537724 900672155 1059614300 1419738340 1774672925 1801344310 1833132739 3549345850 3602688620 3666265478 4503360775 7098691700 7332530956 9006721550 9165663695 18013443100 18331327390 31163256563 36662654780 45828318475 62326513126 91656636950 124653026252 155816282815 183313273900 311632565630 623265131260 779081414075 1558162828150 3116325656300