Search a number
-
+
101113024031 = 17107173321313
BaseRepresentation
bin101111000101011001…
…1100100111000011111
3100122222201222211011222
41132022303210320133
53124034413232111
6114241203003555
710206450344345
oct1361263447037
9318881884158
10101113024031
1139977736578
121771a6695bb
1396c52a0546
144c72bcd995
15296bce47db
hex178ace4e1f

101113024031 has 16 divisors (see below), whose sum is σ = 108686388384. Its totient is φ = 93730566144.

The previous prime is 101113024027. The next prime is 101113024049. The reversal of 101113024031 is 130420311101.

It is a cyclic number.

It is not a de Polignac number, because 101113024031 - 22 = 101113024027 is a prime.

It is a super-2 number, since 2×1011130240312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113024091) 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, 154031 + ... + 475343.

It is an arithmetic number, because the mean of its divisors is an integer number (6792899274).

Almost surely, 2101113024031 is an apocalyptic number.

101113024031 is a deficient number, since it is larger than the sum of its proper divisors (7573364353).

101113024031 is a wasteful number, since it uses less digits than its factorization.

101113024031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321610.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101113024031 its reverse (130420311101), we get a palindrome (231533335132).

The spelling of 101113024031 in words is "one hundred one billion, one hundred thirteen million, twenty-four thousand, thirty-one".

Divisors: 1 17 107 173 1819 2941 18511 314687 321313 5462321 34380491 55587149 584468347 944981533 5947824943 101113024031