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211300524320 = 25519912135471
BaseRepresentation
bin1100010011001001111…
…1100010000100100000
3202012101220012210121012
43010302133202010200
511430220413234240
6241023051320052
721160136552024
oct3046237420440
9665356183535
10211300524320
11816807013a6
1234b50150028
1316c05599162
14a326c60384
15576a5c7b65
hex31327e2120

211300524320 has 96 divisors (see below), whose sum is σ = 502211404800. Its totient is φ = 84010798080.

The previous prime is 211300524317. The next prime is 211300524349. The reversal of 211300524320 is 23425003112.

It is a super-2 number, since 2×2113005243202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38619185 + ... + 38624655.

It is an arithmetic number, because the mean of its divisors is an integer number (5231368800).

Almost surely, 2211300524320 is an apocalyptic number.

211300524320 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 211300524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251105702400).

211300524320 is an abundant number, since it is smaller than the sum of its proper divisors (290910880480).

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

211300524320 is a wasteful number, since it uses less digits than its factorization.

211300524320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 211300524320 its reverse (23425003112), we get a palindrome (234725527432).

The spelling of 211300524320 in words is "two hundred eleven billion, three hundred million, five hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1213 1592 1990 2426 3184 3980 4852 5471 6065 6368 7960 9704 10942 12130 15920 19408 21884 24260 27355 31840 38816 43768 48520 54710 87536 97040 109420 175072 194080 218840 241387 437680 482774 875360 965548 1088729 1206935 1931096 2177458 2413870 3862192 4354916 4827740 5443645 6636323 7724384 8709832 9655480 10887290 13272646 17419664 19310960 21774580 26545292 33181615 34839328 38621920 43549160 53090584 66363230 87098320 106181168 132726460 174196640 212362336 265452920 530905840 1061811680 1320628277 2641256554 5282513108 6603141385 10565026216 13206282770 21130052432 26412565540 42260104864 52825131080 105650262160 211300524320