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5323135000 = 235419137409
BaseRepresentation
bin1001111010100100…
…01001100000011000
3111201222102021110011
410331102021200120
541400210310000
62240113131304
7245624621011
oct47522114030
914658367404
105323135000
112291853127
121046859b34
1366aa99a31
14386d78008
152124d52ba
hex13d489818

5323135000 has 160 divisors (see below), whose sum is σ = 13256694000. Its totient is φ = 1997568000.

The previous prime is 5323134989. The next prime is 5323135039. The reversal of 5323135000 is 5313235.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13014796 + ... + 13015204.

Almost surely, 25323135000 is an apocalyptic number.

5323135000 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 5323135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628347000).

5323135000 is an abundant number, since it is smaller than the sum of its proper divisors (7933559000).

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

5323135000 is a wasteful number, since it uses less digits than its factorization.

5323135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 5323135000 is about 72959.8177081056. The cubic root of 5323135000 is about 1746.0465857959.

Adding to 5323135000 its reverse (5313235), we get a palindrome (5328448235).

The spelling of 5323135000 in words is "five billion, three hundred twenty-three million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 137 152 190 200 250 274 380 409 475 500 548 625 685 760 818 950 1000 1096 1250 1370 1636 1900 2045 2375 2500 2603 2740 3272 3425 3800 4090 4750 5000 5206 5480 6850 7771 8180 9500 10225 10412 11875 13015 13700 15542 16360 17125 19000 20450 20824 23750 26030 27400 31084 34250 38855 40900 47500 51125 52060 56033 62168 65075 68500 77710 81800 85625 95000 102250 104120 112066 130150 137000 155420 171250 194275 204500 224132 255625 260300 280165 310840 325375 342500 388550 409000 448264 511250 520600 560330 650750 685000 777100 971375 1022500 1064627 1120660 1301500 1400825 1554200 1626875 1942750 2045000 2129254 2241320 2603000 2801650 3253750 3885500 4258508 4856875 5323135 5603300 6507500 7004125 7771000 8517016 9713750 10646270 11206600 13015000 14008250 19427500 21292540 26615675 28016500 35020625 38855000 42585080 53231350 56033000 70041250 106462700 133078375 140082500 212925400 266156750 280165000 532313500 665391875 1064627000 1330783750 2661567500 5323135000