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20312311200 = 2535222933691
BaseRepresentation
bin10010111010101101…
…010100010110100000
31221102121012022200020
4102322231110112200
5313044422424300
613155323153440
71316233540116
oct227255242640
957377168606
1020312311200
118683852055
123b2a675880
131bb92c626c
14da9981ab6
157dd3ac8a0
hex4bab545a0

20312311200 has 144 divisors (see below), whose sum is σ = 66163327776. Its totient is φ = 5412787200.

The previous prime is 20312311163. The next prime is 20312311207. The reversal of 20312311200 is 211321302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20312311200.

It is not an unprimeable number, because it can be changed into a prime (20312311207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5501355 + ... + 5505045.

It is an arithmetic number, because the mean of its divisors is an integer number (459467554).

Almost surely, 220312311200 is an apocalyptic number.

20312311200 is a gapful number since it is divisible by the number (20) 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 20312311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33081663888).

20312311200 is an abundant number, since it is smaller than the sum of its proper divisors (45851016576).

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

20312311200 is a wasteful number, since it uses less digits than its factorization.

20312311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20312311200 its reverse (211321302), we get a palindrome (20523632502).

The spelling of 20312311200 in words is "twenty billion, three hundred twelve million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2293 2400 3691 4586 6879 7382 9172 11073 11465 13758 14764 18344 18455 22146 22930 27516 29528 34395 36688 36910 44292 45860 55032 55365 57325 59056 68790 73376 73820 88584 91720 92275 110064 110730 114650 118112 137580 147640 171975 177168 183440 184550 220128 221460 229300 275160 276825 295280 343950 354336 366880 369100 442920 458600 550320 553650 590560 687900 738200 885840 917200 1100640 1107300 1375800 1476400 1771680 1834400 2214600 2751600 2952800 4429200 5503200 8463463 8858400 16926926 25390389 33853852 42317315 50780778 67707704 84634630 101561556 126951945 135415408 169269260 203123112 211586575 253903890 270830816 338538520 406246224 423173150 507807780 634759725 677077040 812492448 846346300 1015615560 1269519450 1354154080 1692692600 2031231120 2539038900 3385385200 4062462240 5078077800 6770770400 10156155600 20312311200