Search a number
-
+
102016616160241 = 4319762533192587
BaseRepresentation
bin10111001100100010011000…
…001010101101101111110001
3111101012200201101101210000001
4113030202120022231233301
5101332420012214111431
61000545441513430001
730326312564524216
oct2714423012555761
9441180641353001
10102016616160241
112a5620052890a2
12b53760640b301
1344c0182cc98a3
141b298b83c5b0d
15bbda46403e61
hex5cc8982adbf1

102016616160241 has 16 divisors (see below), whose sum is σ = 104921212106304. Its totient is φ = 99136228774464.

The previous prime is 102016616160233. The next prime is 102016616160257. The reversal of 102016616160241 is 142061616610201.

It is a cyclic number.

It is not a de Polignac number, because 102016616160241 - 23 = 102016616160233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102016616160241.

It is not an unprimeable number, because it can be changed into a prime (102016616160211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529620750 + ... + 529813336.

It is an arithmetic number, because the mean of its divisors is an integer number (6557575756644).

Almost surely, 2102016616160241 is an apocalyptic number.

It is an amenable number.

102016616160241 is a deficient number, since it is larger than the sum of its proper divisors (2904595946063).

102016616160241 is a wasteful number, since it uses less digits than its factorization.

102016616160241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255360.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 102016616160241 in words is "one hundred two trillion, sixteen billion, six hundred sixteen million, one hundred sixty thousand, two hundred forty-one".

Divisors: 1 43 197 8471 62533 192587 2688919 8281241 12319001 37939639 529717043 1631404477 12043042871 517850843453 2372479445587 102016616160241