Search a number
-
+
211012021033312 = 2559791917407041
BaseRepresentation
bin101111111110101000010000…
…100011101001100101100000
31000200010112220112222111111211
4233332220100203221211200
5210124210104341031222
62024441330105315504
762306054406556402
oct5776502043514540
91020115815874454
10211012021033312
116126477188a534
121b7bb662a95b94
13909846b0002a5
143a170718d0b72
15195dd90c71277
hexbfea108e9960

211012021033312 has 96 divisors (see below), whose sum is σ = 430058784153600. Its totient is φ = 101868724838400.

The previous prime is 211012021033223. The next prime is 211012021033349. The reversal of 211012021033312 is 213330120210112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24784512 + ... + 32191552.

It is an arithmetic number, because the mean of its divisors is an integer number (4479779001600).

Almost surely, 2211012021033312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012021033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215029392076800).

211012021033312 is an abundant number, since it is smaller than the sum of its proper divisors (219046763120288).

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

211012021033312 is a wasteful number, since it uses less digits than its factorization.

211012021033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407380 (or 7407372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 211012021033312 its reverse (213330120210112), we get a palindrome (424342141243424).

The spelling of 211012021033312 in words is "two hundred eleven trillion, twelve billion, twenty-one million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 59 79 118 158 191 236 316 382 472 632 764 944 1264 1528 1888 2528 3056 4661 6112 9322 11269 15089 18644 22538 30178 37288 45076 60356 74576 90152 120712 149152 180304 241424 360608 482848 890251 1780502 3561004 7122008 7407041 14244016 14814082 28488032 29628164 59256328 118512656 237025312 437015419 585156239 874030838 1170312478 1414744831 1748061676 2340624956 2829489662 3496123352 4681249912 5658979324 6992246704 9362499824 11317958648 13984493408 18724999648 22635917296 34524218101 45271834592 69048436202 83469945029 111764841649 138096872404 166939890058 223529683298 276193744808 333879780116 447059366596 552387489616 667759560232 894118733192 1104774979232 1335519120464 1788237466384 2671038240928 3576474932768 6594125657291 13188251314582 26376502629164 52753005258328 105506010516656 211012021033312