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211243012112 = 241117461153151
BaseRepresentation
bin1100010010111100010…
…0001001000000010000
3202012020212222212200102
43010233010021000100
511430111202341422
6241013234511532
721155540655656
oct3045704110020
9665225885612
10211243012112
118165119a650
1234b34a355a8
1316bc66b0672
14a31d36cdd6
155765517192
hex312f109010

211243012112 has 80 divisors (see below), whose sum is σ = 473783675904. Its totient is φ = 90174720000.

The previous prime is 211243012109. The next prime is 211243012117. The reversal of 211243012112 is 211210342112.

It is a super-2 number, since 2×2112430121122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211243012117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302737 + ... + 1455887.

Almost surely, 2211243012112 is an apocalyptic number.

211243012112 is a gapful number since it is divisible by the number (22) 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 211243012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236891837952).

211243012112 is an abundant number, since it is smaller than the sum of its proper divisors (262540663792).

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

211243012112 is a wasteful number, since it uses less digits than its factorization.

211243012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153648 (or 153642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211243012112 its reverse (211210342112), we get a palindrome (422453354224).

The spelling of 211243012112 in words is "two hundred eleven billion, two hundred forty-three million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 461 748 922 1496 1844 2992 3688 5071 7376 7837 10142 15674 20284 31348 40568 62696 81136 86207 125392 153151 172414 306302 344828 612604 689656 1225208 1379312 1684661 2450416 2603567 3369322 5207134 6738644 10414268 13477288 20828536 26954576 28639237 41657072 57278474 70602611 114556948 141205222 229113896 282410444 458227792 564820888 776628721 1129641776 1200244387 1553257442 2400488774 3106514884 4800977548 6213029768 9601955096 12426059536 13202688257 19203910192 26405376514 52810753028 105621506056 211243012112