Search a number
-
+
114212031201 = 3223315925113
BaseRepresentation
bin110101001011110010…
…0010100101011100001
3101220210122002022221200
41222113210110223201
53332401234444301
6124245052111413
711152165150542
oct1522744245341
9356718068850
10114212031201
1144489794534
121a175465569
13aa02028b68
14575676c4c9
152e86ca1c86
hex1a97914ae1

114212031201 has 72 divisors (see below), whose sum is σ = 180797001216. Its totient is φ = 69273325440.

The previous prime is 114212031181. The next prime is 114212031211. The reversal of 114212031201 is 102130212411.

114212031201 is a `hidden beast` number, since 11 + 421 + 2 + 0 + 31 + 201 = 666.

It is not a de Polignac number, because 114212031201 - 26 = 114212031137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114212031211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22335021 + ... + 22340133.

Almost surely, 2114212031201 is an apocalyptic number.

It is an amenable number.

114212031201 is a deficient number, since it is larger than the sum of its proper divisors (66584970015).

114212031201 is a wasteful number, since it uses less digits than its factorization.

114212031201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114212031201 its reverse (102130212411), we get a palindrome (216342243612).

The spelling of 114212031201 in words is "one hundred fourteen billion, two hundred twelve million, thirty-one thousand, two hundred one".

Divisors: 1 3 9 23 31 59 69 93 177 207 279 531 713 1357 1829 2139 3481 4071 5113 5487 6417 10443 12213 15339 16461 31329 42067 46017 80063 107911 117599 126201 158503 240189 301667 323733 352797 378603 475509 720567 905001 971199 1058391 1426527 2481953 2715003 3645569 6938341 7445859 9351677 10936707 17798353 20815023 22337577 28055031 32810121 53395059 62445069 84165093 160185177 215088571 409362119 551748943 645265713 1228086357 1655246829 1935797139 3684259071 4965740487 12690225689 38070677067 114212031201