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212111102096 = 243115717915217
BaseRepresentation
bin1100010110001011001…
…1101001000010010000
3202021111101110102021022
43011202303221002100
511433400420231341
6241235325015012
721216211422365
oct3054263510220
9667441412238
10212111102096
1181a57207493
12351376b4468
13170044b388a
14a3a278046c
1557b683de4b
hex3162ce9090

212111102096 has 80 divisors (see below), whose sum is σ = 429337520640. Its totient is φ = 101404293120.

The previous prime is 212111102083. The next prime is 212111102117. The reversal of 212111102096 is 690201111212.

It is a super-2 number, since 2×2121111020962 (a number of 23 digits) contains 22 as substring.

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, 13931480 + ... + 13946696.

It is an arithmetic number, because the mean of its divisors is an integer number (5366719008).

Almost surely, 2212111102096 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 212111102096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214668760320).

212111102096 is an abundant number, since it is smaller than the sum of its proper divisors (217226418544).

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

212111102096 is a wasteful number, since it uses less digits than its factorization.

212111102096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15592 (or 15586 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 212111102096 in words is "two hundred twelve billion, one hundred eleven million, one hundred two thousand, ninety-six".

Divisors: 1 2 4 8 16 31 62 124 157 179 248 314 358 496 628 716 1256 1432 2512 2864 4867 5549 9734 11098 15217 19468 22196 28103 30434 38936 44392 56206 60868 77872 88784 112412 121736 224824 243472 449648 471727 871193 943454 1742386 1886908 2389069 2723843 3484772 3773816 4778138 5447686 6969544 7547632 9556276 10895372 13939088 19112552 21790744 38225104 43581488 74061139 84439133 148122278 168878266 296244556 337756532 427643351 592489112 675513064 855286702 1184978224 1351026128 1710573404 3421146808 6842293616 13256943881 26513887762 53027775524 106055551048 212111102096