Search a number
-
+
212012100112 = 24415373103811
BaseRepresentation
bin1100010101110011100…
…1111110101000010000
3202021020111011121002011
43011130321332220100
511433200044200422
6241221431032304
721213600055021
oct3053471765020
9667214147064
10212012100112
1181a0633786a
123510a50b694
1316cb9b2c417
14a39356cc48
1557accd5077
hex315ce7ea10

212012100112 has 160 divisors (see below), whose sum is σ = 439365378816. Its totient is φ = 98985369600.

The previous prime is 212012100103. The next prime is 212012100169. The reversal of 212012100112 is 211001210212.

212012100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212012100092 and 212012100101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261420187 + ... + 261420997.

Almost surely, 2212012100112 is an apocalyptic number.

It is an amenable number.

212012100112 is an abundant number, since it is smaller than the sum of its proper divisors (227353278704).

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

212012100112 is a wasteful number, since it uses less digits than its factorization.

212012100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1083 counting only the distinct ones).

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

Adding to 212012100112 its reverse (211001210212), we get a palindrome (423013310324).

The spelling of 212012100112 in words is "two hundred twelve billion, twelve million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 41 53 73 82 103 106 146 164 206 212 292 328 412 424 584 656 811 824 848 1168 1622 1648 2173 2993 3244 3869 4223 4346 5459 5986 6488 7519 7738 8446 8692 10918 11972 12976 15038 15476 16892 17384 21836 23944 30076 30952 33251 33784 34768 42983 43672 47888 59203 60152 61904 66502 67568 83533 85966 87344 118406 120304 133004 158629 167066 171932 223819 236812 266008 308279 317258 334132 343864 398507 447638 473624 532016 616558 634516 668264 687728 797014 895276 947248 1233116 1269032 1336528 1594028 1762303 1790552 2427323 2466232 2538064 3137759 3188056 3424853 3524606 3581104 4427249 4854646 4932464 6097909 6275518 6376112 6849706 7049212 8854498 9709292 12195818 12551036 13699412 14098424 16338787 17708996 19418584 24391636 25102072 27398824 28196848 32677574 35417992 38837168 48783272 50204144 54797648 65355148 70835984 97566544 128648119 130710296 181517209 250014269 257296238 261420592 323189177 363034418 500028538 514592476 646378354 726068836 1000057076 1029184952 1292756708 1452137672 2000114152 2058369904 2585513416 2904275344 4000228304 5171026832 13250756257 26501512514 53003025028 106006050056 212012100112