Search a number
-
+
2212121220100 = 2252114149049251
BaseRepresentation
bin100000001100001100101…
…100110001010000000100
321211110212112100022112021
4200030030230301100010
5242220411013020400
64412122350532524
7315551266061131
oct40141454612004
97743775308467
102212121220100
11783178839060
122b8882b07144
131307a9b7b41c
14790d2705588
153c82066971a
hex2030cb31404

2212121220100 has 72 divisors (see below), whose sum is σ = 5364418592736. Its totient is φ = 784788000000.

The previous prime is 2212121220097. The next prime is 2212121220131. The reversal of 2212121220100 is 10221212122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24479526 + ... + 24569725.

It is an arithmetic number, because the mean of its divisors is an integer number (74505813788).

Almost surely, 22212121220100 is an apocalyptic number.

2212121220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212121220100 is an abundant number, since it is smaller than the sum of its proper divisors (3152297372636).

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

2212121220100 is a wasteful number, since it uses less digits than its factorization.

2212121220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49049317 (or 49049310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2212121220100 its reverse (10221212122), we get a palindrome (2222342432222).

The spelling of 2212121220100 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 49049251 98098502 196197004 245246255 490492510 539541761 980985020 1079083522 1226231275 2011019291 2158167044 2452462550 2697708805 4022038582 4904925100 5395417610 8044077164 10055096455 10790835220 13488544025 20110192910 22121212201 26977088050 40220385820 44242424402 50275482275 53954176100 88484848804 100550964550 110606061005 201101929100 221212122010 442424244020 553030305025 1106060610050 2212121220100