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13024511200 = 2552149910861
BaseRepresentation
bin11000010000101001…
…00100010011100000
31020121200220201111201
430020110210103200
5203133233324300
65552224250544
7640521342601
oct141024442340
936550821451
1013024511200
115583aa7048
122635a70a54
1312c74a457c
148b7b09da8
1551369466a
hex3085244e0

13024511200 has 72 divisors (see below), whose sum is σ = 31820229000. Its totient is φ = 5205849600.

The previous prime is 13024511183. The next prime is 13024511207. The reversal of 13024511200 is 211542031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024511207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1193770 + ... + 1204630.

It is an arithmetic number, because the mean of its divisors is an integer number (441947625).

Almost surely, 213024511200 is an apocalyptic number.

13024511200 is a gapful number since it is divisible by the number (10) 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 13024511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910114500).

13024511200 is an abundant number, since it is smaller than the sum of its proper divisors (18795717800).

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

13024511200 is a wasteful number, since it uses less digits than its factorization.

13024511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12367 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 13024511200 in words is "thirteen billion, twenty-four million, five hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1499 2998 5996 7495 10861 11992 14990 21722 23984 29980 37475 43444 47968 54305 59960 74950 86888 108610 119920 149900 173776 217220 239840 271525 299800 347552 434440 543050 599600 868880 1086100 1199200 1737760 2172200 4344400 8688800 16280639 32561278 65122556 81403195 130245112 162806390 260490224 325612780 407015975 520980448 651225560 814031950 1302451120 1628063900 2604902240 3256127800 6512255600 13024511200