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121000010000 = 245423526087
BaseRepresentation
bin111000010110000101…
…0011010000100010000
3102120022200212101022212
41300230022122010100
53440302000310000
6131330414051252
711512331054312
oct1605412320420
9376280771285
10121000010000
1147352395471
121b54a7a9b28
13b544428c6c
145bdc0977b2
153232b89c35
hex1c2c29a110

121000010000 has 100 divisors (see below), whose sum is σ = 305690797632. Its totient is φ = 46295568000.

The previous prime is 121000009997. The next prime is 121000010009. The reversal of 121000010000 is 10000121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (121000010009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 33044 + ... + 493043.

Almost surely, 2121000010000 is an apocalyptic number.

121000010000 is a gapful number since it is divisible by the number (10) 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 121000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845398816).

121000010000 is an abundant number, since it is smaller than the sum of its proper divisors (184690787632).

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

121000010000 is an equidigital number, since it uses as much as digits as its factorization.

121000010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526138 (or 526117 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 121000010000 its reverse (10000121), we get a palindrome (121010010121).

The spelling of 121000010000 in words is "one hundred twenty-one billion, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57500 115000 230000 526087 1052174 2104348 2630435 4208696 5260870 8417392 10521740 12100001 13152175 21043480 24200002 26304350 42086960 48400004 52608700 60500005 65760875 96800008 105217400 121000010 131521750 193600016 210434800 242000020 263043500 302500025 328804375 484000040 526087000 605000050 657608750 968000080 1052174000 1210000100 1315217500 1512500125 2420000200 2630435000 3025000250 4840000400 5260870000 6050000500 7562500625 12100001000 15125001250 24200002000 30250002500 60500005000 121000010000