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5335131000 = 233533157367
BaseRepresentation
bin1001111011111111…
…11010001101111000
3111202210222201212110
410331333322031320
541411243143000
62241222212320
7246131602533
oct47577721570
914683881773
105335131000
1122985a6981
12104a8840a0
13670409c64
143887bba1a
152135a4850
hex13dffa378

5335131000 has 128 divisors (see below), whose sum is σ = 17182863360. Its totient is φ = 1376784000.

The previous prime is 5335130989. The next prime is 5335131013. The reversal of 5335131000 is 1315335.

It is a happy number.

It is a super-2 number, since 2×53351310002 = 56927245574322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64317 + ... + 121683.

It is an arithmetic number, because the mean of its divisors is an integer number (134241120).

Almost surely, 25335131000 is an apocalyptic number.

5335131000 is a gapful number since it is divisible by the number (50) 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 5335131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591431680).

5335131000 is an abundant number, since it is smaller than the sum of its proper divisors (11847732360).

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

5335131000 is a wasteful number, since it uses less digits than its factorization.

5335131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57422 (or 57408 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 5335131000 is about 73041.9810793765. The cubic root of 5335131000 is about 1747.3572082318.

Adding to 5335131000 its reverse (1315335), we get a palindrome (5336446335).

The spelling of 5335131000 in words is "five billion, three hundred thirty-five million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 57367 93000 114734 172101 229468 286835 344202 458936 573670 688404 860505 1147340 1376808 1434175 1721010 1778377 2294680 2868350 3442020 3556754 4302525 5335131 5736700 6884040 7113508 7170875 8605050 8891885 10670262 11473400 14227016 14341750 17210100 17783770 21340524 21512625 26675655 28683500 34420200 35567540 42681048 43025250 44459425 53351310 57367000 71135080 86050500 88918850 106702620 133378275 172101000 177837700 213405240 222297125 266756550 355675400 444594250 533513100 666891375 889188500 1067026200 1333782750 1778377000 2667565500 5335131000