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210023311200 = 25352557157109
BaseRepresentation
bin1100001110011001011…
…1010110011101100000
3202002002212220122120120
43003212113112131200
511420111431424300
6240252224240240
721113400455433
oct3034627263540
9662085818516
10210023311200
118108575826a
1234854470080
1316a60aabc51
14a24539181a
1556e33d93a0
hex30e65d6760

210023311200 has 144 divisors (see below), whose sum is σ = 684857572560. Its totient is φ = 55905310720.

The previous prime is 210023311181. The next prime is 210023311207. The reversal of 210023311200 is 2113320012.

210023311200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 210023311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210023311207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258246 + ... + 1415354.

It is an arithmetic number, because the mean of its divisors is an integer number (4755955365).

Almost surely, 2210023311200 is an apocalyptic number.

210023311200 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 210023311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342428786280).

210023311200 is an abundant number, since it is smaller than the sum of its proper divisors (474834261360).

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

210023311200 is a wasteful number, since it uses less digits than its factorization.

210023311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157689 (or 157676 counting only the distinct ones).

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

Adding to 210023311200 its reverse (2113320012), we get a palindrome (212136631212).

The spelling of 210023311200 in words is "two hundred ten billion, twenty-three 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 96 100 120 150 160 200 240 300 400 480 557 600 800 1114 1200 1671 2228 2400 2785 3342 4456 5570 6684 8355 8912 11140 13368 13925 16710 17824 22280 26736 27850 33420 41775 44560 53472 55700 66840 83550 89120 111400 133680 157109 167100 222800 267360 314218 334200 445600 471327 628436 668400 785545 942654 1256872 1336800 1571090 1885308 2356635 2513744 3142180 3770616 3927725 4713270 5027488 6284360 7541232 7855450 9426540 11783175 12568720 15082464 15710900 18853080 23566350 25137440 31421800 37706160 47132700 62843600 75412320 87509713 94265400 125687200 175019426 188530800 262529139 350038852 377061600 437548565 525058278 700077704 875097130 1050116556 1312645695 1400155408 1750194260 2100233112 2187742825 2625291390 2800310816 3500388520 4200466224 4375485650 5250582780 6563228475 7000777040 8400932448 8750971300 10501165560 13126456950 14001554080 17501942600 21002331120 26252913900 35003885200 42004662240 52505827800 70007770400 105011655600 210023311200