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211342330320 = 243511101792613
BaseRepresentation
bin1100010011010011111…
…1000000100111010000
3202012111210212202122120
43010310333000213100
511430312114032240
6241031143334240
721161155111302
oct3046477004720
9665453782576
10211342330320
11816a2265910
1234b62151380
1316c11145a34
14a32c623972
15576e0d4ad0
hex3134fc09d0

211342330320 has 160 divisors (see below), whose sum is σ = 721798694784. Its totient is φ = 50727168000.

The previous prime is 211342330271. The next prime is 211342330343. The reversal of 211342330320 is 23033243112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129667 + ... + 662946.

Almost surely, 2211342330320 is an apocalyptic number.

211342330320 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 211342330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360899347392).

211342330320 is an abundant number, since it is smaller than the sum of its proper divisors (510456364464).

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

211342330320 is a wasteful number, since it uses less digits than its factorization.

211342330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792741 (or 792735 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 211342330320 its reverse (23033243112), we get a palindrome (234375573432).

The spelling of 211342330320 in words is "two hundred eleven billion, three hundred forty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 44440 53328 66660 88880 133320 266640 792613 1585226 2377839 3170452 3963065 4755678 6340904 7926130 8718743 9511356 11889195 12681808 15852260 17437486 19022712 23778390 26156229 31704520 34874972 38045424 43593715 47556780 52312458 63409040 69749944 80053913 87187430 95113560 104624916 130781145 139499888 160107826 174374860 190227120 209249832 240161739 261562290 320215652 348749720 400269565 418499664 480323478 523124580 640431304 697499440 800539130 880593043 960646956 1046249160 1200808695 1280862608 1601078260 1761186086 1921293912 2092498320 2401617390 2641779129 3202156520 3522372172 3842587824 4402965215 4803234780 5283558258 6404313040 7044744344 8805930430 9606469560 10567116516 13208895645 14089488688 17611860860 19212939120 21134233032 26417791290 35223721720 42268466064 52835582580 70447443440 105671165160 211342330320