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212112000096 = 2532209500001
BaseRepresentation
bin1100010110001011011…
…1000100010001100000
3202021111110011001002120
43011202313010101200
511433401133000341
6241235400144240
721216222152433
oct3054267042140
9667443131076
10212112000096
1181a57770137
1235137a68080
1317004739539
14a3a293581a
1557b696a066
hex3162dc4460

212112000096 has 24 divisors (see below), whose sum is σ = 556794000504. Its totient is φ = 70704000000.

The previous prime is 212112000091. The next prime is 212112000119. The reversal of 212112000096 is 690000211212.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112000091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1104749905 + ... + 1104750096.

It is an arithmetic number, because the mean of its divisors is an integer number (23199750021).

Almost surely, 2212112000096 is an apocalyptic number.

It is an amenable number.

212112000096 is an abundant number, since it is smaller than the sum of its proper divisors (344682000408).

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

212112000096 is a wasteful number, since it uses less digits than its factorization.

212112000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209500014 (or 2209500006 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 212112000096 in words is "two hundred twelve billion, one hundred twelve million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2209500001 4419000002 6628500003 8838000004 13257000006 17676000008 26514000012 35352000016 53028000024 70704000032 106056000048 212112000096