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211010202112 = 2913915831873
BaseRepresentation
bin1100010010000100110…
…0000010101000000000
3202011122122220220101211
43010201030002220000
511424122102431422
6240534200535504
721150013060423
oct3044114025000
9664578826354
10211010202112
1181541837a96
1234a8aa81594
1316b8a3a9378
14a2da4899ba
15574ed7b577
hex3121302a00

211010202112 has 80 divisors (see below), whose sum is σ = 425136539520. Its totient is φ = 104624013312.

The previous prime is 211010202089. The next prime is 211010202133. The reversal of 211010202112 is 211202010112.

It is a junction number, because it is equal to n+sod(n) for n = 211010202092 and 211010202101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112658008 + ... + 112659880.

It is an arithmetic number, because the mean of its divisors is an integer number (5314206744).

Almost surely, 2211010202112 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 211010202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212568269760).

211010202112 is an abundant number, since it is smaller than the sum of its proper divisors (214126337408).

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

211010202112 is a wasteful number, since it uses less digits than its factorization.

211010202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211010202112 its reverse (211202010112), we get a palindrome (422212212224).

The spelling of 211010202112 in words is "two hundred eleven billion, ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1112 1583 1873 2224 3166 3746 4448 6332 7492 8896 12664 14984 17792 25328 29968 35584 50656 59936 71168 101312 119872 202624 220037 239744 260347 405248 440074 479488 520694 810496 880148 958976 1041388 1760296 2082776 2964959 3520592 4165552 5929918 7041184 8331104 11859836 14082368 16662208 23719672 28164736 33324416 47439344 56329472 66648832 94878688 112658944 133297664 189757376 379514752 412129301 759029504 824258602 1518059008 1648517204 3297034408 6594068816 13188137632 26376275264 52752550528 105505101056 211010202112