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213111322320 = 24351371962041
BaseRepresentation
bin1100011001111001101…
…1001011011011010000
3202101002002112212110210
43012132123023123100
511442422444303240
6241522455124120
721253045231341
oct3063633133320
9671062485423
10213111322320
118241a870776
1235376673640
131713379a070
14a4595480c8
155824565780
hex319e6cb6d0

213111322320 has 160 divisors (see below), whose sum is σ = 721485321984. Its totient is φ = 51719270400.

The previous prime is 213111322283. The next prime is 213111322339. The reversal of 213111322320 is 23223111312.

213111322320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259501 + ... + 702540.

Almost surely, 2213111322320 is an apocalyptic number.

213111322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213111322320 is an abundant number, since it is smaller than the sum of its proper divisors (508373999664).

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

213111322320 is a wasteful number, since it uses less digits than its factorization.

213111322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962141 (or 962135 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213111322320 its reverse (23223111312), we get a palindrome (236334433632).

The spelling of 213111322320 in words is "two hundred thirteen billion, one hundred eleven million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 71 78 80 104 120 130 142 156 195 208 213 240 260 284 312 355 390 426 520 568 624 710 780 852 923 1040 1065 1136 1420 1560 1704 1846 2130 2769 2840 3120 3408 3692 4260 4615 5538 5680 7384 8520 9230 11076 13845 14768 17040 18460 22152 27690 36920 44304 55380 73840 110760 221520 962041 1924082 2886123 3848164 4810205 5772246 7696328 9620410 11544492 12506533 14430615 15392656 19240820 23088984 25013066 28861230 37519599 38481640 46177968 50026132 57722460 62532665 68304911 75039198 76963280 100052264 115444920 125065330 136609822 150078396 187597995 200104528 204914733 230889840 250130660 273219644 300156792 341524555 375195990 409829466 500261320 546439288 600313584 683049110 750391980 819658932 887963843 1000522640 1024573665 1092878576 1366098220 1500783960 1639317864 1775927686 2049147330 2663891529 2732196440 3001567920 3278635728 3551855372 4098294660 4439819215 5327783058 5464392880 7103710744 8196589320 8879638430 10655566116 13319457645 14207421488 16393178640 17759276860 21311132232 26638915290 35518553720 42622264464 53277830580 71037107440 106555661160 213111322320