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211000000002 = 2311171912238093
BaseRepresentation
bin1100010010000010010…
…1000111111000000010
3202011121221201120201220
43010200211013320002
511424112000000002
6240533154135510
721146530256601
oct3044045077002
9664557646656
10211000000002
1181536aa9aa0
1234a87581596
1316b8824680c
14a2d8d91a38
15574e0137bc
hex3120947e02

211000000002 has 128 divisors (see below), whose sum is σ = 513581783040. Its totient is φ = 56957322240.

The previous prime is 210999999971. The next prime is 211000000009. The reversal of 211000000002 is 200000000112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (211000000009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26067868 + ... + 26075960.

It is an arithmetic number, because the mean of its divisors is an integer number (4012357680).

Almost surely, 2211000000002 is an apocalyptic number.

211000000002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211000000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256790891520).

211000000002 is an abundant number, since it is smaller than the sum of its proper divisors (302581783038).

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

211000000002 is a wasteful number, since it uses less digits than its factorization.

211000000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 211000000002 its reverse (200000000112), we get a palindrome (411000000114).

The spelling of 211000000002 in words is "two hundred eleven billion, two", and thus it is an aban number.

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1223 1254 1938 2446 3553 3669 7106 7338 8093 10659 13453 16186 20791 21318 23237 24279 26906 40359 41582 46474 48558 62373 69711 80718 89023 124746 137581 139422 153767 178046 228701 255607 267069 275162 307534 395029 412743 457402 461301 511214 534138 686103 766821 790058 825486 922602 1185087 1372206 1513391 1533642 1691437 2370174 2614039 3026782 3382874 4345319 4540173 5074311 5228078 7842117 8690638 9080346 9897739 10148622 13035957 15684234 19795478 26071914 28754429 29693217 57508858 59386434 86263287 108875129 168261563 172526574 188057041 217750258 326625387 336523126 376114082 504784689 564171123 653250774 1009569378 1128342246 1850877193 2068627451 3196969697 3701754386 4137254902 5552631579 6205882353 6393939394 9590909091 11105263158 12411764706 19181818182 35166666667 70333333334 105500000001 211000000002