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211054643340 = 223517281736357
BaseRepresentation
bin1100010010001111010…
…1100100100010001100
3202011202202112202022020
43010203311210202030
511424214442041330
6240542425250140
721151062603612
oct3044365444214
9664682482266
10211054643340
1181564931382
1234aa1933950
1316b96669558
14a3023376b2
155753c09210
hex3123d6488c

211054643340 has 96 divisors (see below), whose sum is σ = 627942538944. Its totient is φ = 52781998080.

The previous prime is 211054643329. The next prime is 211054643341. The reversal of 211054643340 is 43346450112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211054643341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81559 + ... + 654798.

It is an arithmetic number, because the mean of its divisors is an integer number (6541068114).

Almost surely, 2211054643340 is an apocalyptic number.

211054643340 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 211054643340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313971269472).

211054643340 is an abundant number, since it is smaller than the sum of its proper divisors (416887895604).

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

211054643340 is a wasteful number, since it uses less digits than its factorization.

211054643340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736667 (or 736665 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 211054643340 in words is "two hundred eleven billion, fifty-four million, six hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 281 340 510 562 843 1020 1124 1405 1686 2810 3372 4215 4777 5620 8430 9554 14331 16860 19108 23885 28662 47770 57324 71655 95540 143310 286620 736357 1472714 2209071 2945428 3681785 4418142 7363570 8836284 11045355 12518069 14727140 22090710 25036138 37554207 44181420 50072276 62590345 75108414 125180690 150216828 187771035 206916317 250361380 375542070 413832634 620748951 751084140 827665268 1034581585 1241497902 2069163170 2482995804 3103744755 3517577389 4138326340 6207489510 7035154778 10552732167 12414979020 14070309556 17587886945 21105464334 35175773890 42210928668 52763660835 70351547780 105527321670 211054643340