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211322301320 = 23513894566169
BaseRepresentation
bin1100010011001111001…
…0100110101110001000
3202012110102012012000202
43010303302212232020
511430242002120240
6241025150151332
721160522631564
oct3046362465610
9665412165022
10211322301320
1181691a25819
1234b574b2548
1316c09c52360
14a329acc6a4
15576c47a315
hex3133ca6b88

211322301320 has 64 divisors (see below), whose sum is σ = 517803678000. Its totient is φ = 77149974528.

The previous prime is 211322301317. The next prime is 211322301367. The reversal of 211322301320 is 23103223112.

It can be written as a sum of positive squares in 8 ways, for example, as 66050028004 + 145272273316 = 257002^2 + 381146^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211322301292 and 211322301301.

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, 2236805 + ... + 2329364.

Almost surely, 2211322301320 is an apocalyptic number.

211322301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211322301320 is an abundant number, since it is smaller than the sum of its proper divisors (306481376680).

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

211322301320 is a wasteful number, since it uses less digits than its factorization.

211322301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566282 (or 4566278 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211322301320 its reverse (23103223112), we get a palindrome (234425524432).

The spelling of 211322301320 in words is "two hundred eleven billion, three hundred twenty-two million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2314 3560 4628 5785 9256 11570 23140 46280 4566169 9132338 18264676 22830845 36529352 45661690 59360197 91323380 118720394 182646760 237440788 296800985 406389041 474881576 593601970 812778082 1187203940 1625556164 2031945205 2374407880 3251112328 4063890410 5283057533 8127780820 10566115066 16255561640 21132230132 26415287665 42264460264 52830575330 105661150660 211322301320