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213303032320 = 295722353377
BaseRepresentation
bin1100011010100111011…
…0011111101000000000
3202101120110021202011011
43012221312133220000
511443321034013240
6241553504130304
721260563600540
oct3065166375000
9671513252134
10213303032320
1182509001294
123540a906994
1317164410c31
14a476bad320
1558362d36ea
hex31a9d9fa00

213303032320 has 160 divisors (see below), whose sum is σ = 587120421888. Its totient is φ = 72803155968.

The previous prime is 213303032291. The next prime is 213303032323. The reversal of 213303032320 is 23230303312.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 213303032291 and 213303032300.

It is not an unprimeable number, because it can be changed into a prime (213303032323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3969472 + ... + 4022848.

Almost surely, 2213303032320 is an apocalyptic number.

213303032320 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 213303032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293560210944).

213303032320 is an abundant number, since it is smaller than the sum of its proper divisors (373817389568).

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

213303032320 is an equidigital number, since it uses as much as digits as its factorization.

213303032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53630 (or 53614 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 213303032320 its reverse (23230303312), we get a palindrome (236533335632).

The spelling of 213303032320 in words is "two hundred thirteen billion, three hundred three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 223 224 256 280 320 446 448 512 560 640 892 896 1115 1120 1280 1561 1784 1792 2230 2240 2560 3122 3568 3584 4460 4480 6244 7136 7805 8920 8960 12488 14272 15610 17840 17920 24976 28544 31220 35680 49952 53377 57088 62440 71360 99904 106754 114176 124880 142720 199808 213508 249760 266885 285440 373639 399616 427016 499520 533770 570880 747278 799232 854032 999040 1067540 1494556 1708064 1868195 1998080 2135080 2989112 3416128 3736390 3996160 4270160 5978224 6832256 7472780 8540320 11903071 11956448 13664512 14945560 17080640 23806142 23912896 27329024 29891120 34161280 47612284 47825792 59515355 59782240 68322560 83321497 95224568 95651584 119030710 119564480 136645120 166642994 190449136 191303168 238061420 239128960 333285988 380898272 416607485 476122840 478257920 666571976 761796544 833214970 952245680 956515840 1333143952 1523593088 1666429940 1904491360 2666287904 3047186176 3332859880 3808982720 5332575808 6094372352 6665719760 7617965440 10665151616 13331439520 15235930880 21330303232 26662879040 30471861760 42660606464 53325758080 106651516160 213303032320