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110022112000212 = 22379468672476307
BaseRepresentation
bin11001000001000010000100…
…111001110011100011010100
3112102120000022011011202222220
4121001002010321303203110
5103410100241133001322
61025555243244422340
732113556333440506
oct3101020471634324
9472500264152886
10110022112000212
113206912aa54235
121040b0328479b0
13495106b3a9059
141d25154917d76
15cabddaab655c
hex641084e738d4

110022112000212 has 48 divisors (see below), whose sum is σ = 259973511490560. Its totient is φ = 36209021782752.

The previous prime is 110022112000211. The next prime is 110022112000219. The reversal of 110022112000212 is 212000211220011.

It is a junction number, because it is equal to n+sod(n) for n = 110022112000191 and 110022112000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022112000211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43191763 + ... + 45668069.

It is an arithmetic number, because the mean of its divisors is an integer number (5416114822720).

Almost surely, 2110022112000212 is an apocalyptic number.

110022112000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110022112000212 is an abundant number, since it is smaller than the sum of its proper divisors (149951399490348).

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

110022112000212 is a wasteful number, since it uses less digits than its factorization.

110022112000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523260 (or 2523258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110022112000212 its reverse (212000211220011), we get a palindrome (322022323220223).

The spelling of 110022112000212 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948 46867 93734 140601 187468 281202 562404 2476307 3702493 4952614 7404986 7428921 9905228 11107479 14809972 14857842 22214958 29715684 44429916 195628253 391256506 586884759 782513012 1173769518 2347539036 116057080169 232114160338 348171240507 464228320676 696342481014 1392684962028 9168509333351 18337018666702 27505528000053 36674037333404 55011056000106 110022112000212