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2114313201 = 3272111322579
BaseRepresentation
bin111111000000101…
…1101101111110001
312110100110020110100
41332001131233301
513312231010301
6545445023013
7103252236300
oct17601355761
95410406410
102114313201
11995524890
124b00b4a69
1327905ca00
14160b34437
15c5943286
hex7e05dbf1

2114313201 has 108 divisors (see below), whose sum is σ = 4198268880. Its totient is φ = 1013463360.

The previous prime is 2114313197. The next prime is 2114313209. The reversal of 2114313201 is 1023134112.

2114313201 is a `hidden beast` number, since 211 + 431 + 3 + 20 + 1 = 666.

It is not a de Polignac number, because 2114313201 - 22 = 2114313197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2114313209) 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 107 ways as a sum of consecutive naturals, for example, 818530 + ... + 821108.

It is an arithmetic number, because the mean of its divisors is an integer number (38872860).

Almost surely, 22114313201 is an apocalyptic number.

2114313201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2114313201 is a deficient number, since it is larger than the sum of its proper divisors (2083955679).

2114313201 is a wasteful number, since it uses less digits than its factorization.

2114313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2114313201 is about 45981.6615728488. The cubic root of 2114313201 is about 1283.4819747022.

Adding to 2114313201 its reverse (1023134112), we get a palindrome (3137447313).

Subtracting from 2114313201 its reverse (1023134112), we obtain a square (1091179089 = 330332).

The spelling of 2114313201 in words is "two billion, one hundred fourteen million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 169 231 273 429 441 507 539 637 693 819 1001 1183 1287 1521 1617 1859 1911 2579 3003 3549 4851 5577 5733 7007 7737 8281 9009 10647 13013 16731 18053 21021 23211 24843 28369 33527 39039 54159 63063 74529 85107 91091 100581 117117 126371 162477 198583 234689 255321 273273 301743 368797 379113 435851 595749 704067 819819 1106391 1137339 1307553 1390081 1642823 1787247 2112201 2581579 3050957 3319173 3922659 4170243 4794361 4928469 7744737 9152871 12510729 14383083 14785407 18071053 21356699 23234211 27458613 33560527 43149249 54213159 64070097 100681581 162639477 192210291 234923689 302044743 704771067 2114313201