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2121001101 = 322943474021
BaseRepresentation
bin111111001101011…
…1110100010001101
312110211001000112100
41332122332202031
513320434013401
6550244225313
7103363132452
oct17632764215
95424030470
102121001101
1199928257a
124b239b239
1327a561b4b
14161995829
15c6314b86
hex7e6be88d

2121001101 has 48 divisors (see below), whose sum is σ = 3312840960. Its totient is φ = 1304795520.

The previous prime is 2121001087. The next prime is 2121001163. The reversal of 2121001101 is 1011001212.

It is a happy number.

It is not a de Polignac number, because 2121001101 - 211 = 2120999053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121001301) 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 47 ways as a sum of consecutive naturals, for example, 525471 + ... + 529491.

It is an arithmetic number, because the mean of its divisors is an integer number (69017520).

Almost surely, 22121001101 is an apocalyptic number.

It is an amenable number.

2121001101 is a deficient number, since it is larger than the sum of its proper divisors (1191839859).

2121001101 is a wasteful number, since it uses less digits than its factorization.

2121001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2121001101 is about 46054.3277119534. The cubic root of 2121001101 is about 1284.8338343884.

Adding to 2121001101 its reverse (1011001212), we get a palindrome (3132002313).

The spelling of 2121001101 in words is "two billion, one hundred twenty-one million, one thousand, one hundred one".

Divisors: 1 3 9 29 43 47 87 129 141 261 387 423 1247 1363 2021 3741 4021 4089 6063 11223 12063 12267 18189 36189 58609 116609 172903 175827 188987 349827 518709 527481 566961 1049481 1556127 1700883 5014187 5480623 8126441 15042561 16441869 24379323 45127683 49325607 73137969 235666789 707000367 2121001101