Search a number
-
+
101212002213 = 3717349812341
BaseRepresentation
bin101111001000010110…
…1001001011110100101
3100200020122020102201120
41132100231021132211
53124240233032323
6114255100244153
710212061552440
oct1362055113645
9320218212646
10101212002213
1139a1859a323
1217747840659
13970c946c0a
144c81dd6657
1529758465e3
hex1790b497a5

101212002213 has 32 divisors (see below), whose sum is σ = 163768147200. Its totient is φ = 54277309440.

The previous prime is 101212002197. The next prime is 101212002257. The reversal of 101212002213 is 312200212101.

It is not a de Polignac number, because 101212002213 - 24 = 101212002197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101212002192 and 101212002201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212002413) 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 31 ways as a sum of consecutive naturals, for example, 281578 + ... + 530763.

It is an arithmetic number, because the mean of its divisors is an integer number (5117754600).

Almost surely, 2101212002213 is an apocalyptic number.

It is an amenable number.

101212002213 is a deficient number, since it is larger than the sum of its proper divisors (62556144987).

101212002213 is a wasteful number, since it uses less digits than its factorization.

101212002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812717.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101212002213 its reverse (312200212101), we get a palindrome (413412214314).

The spelling of 101212002213 in words is "one hundred one billion, two hundred twelve million, two thousand, two hundred thirteen".

Divisors: 1 3 7 17 21 51 119 349 357 1047 2443 5933 7329 17799 41531 124593 812341 2437023 5686387 13809797 17059161 41429391 96668579 283507009 290005737 850521027 1984549063 4819619153 5953647189 14458857459 33737334071 101212002213