Search a number
-
+
10121002031 = 71639679173
BaseRepresentation
bin10010110110100001…
…00011110000101111
3222010100110011201002
421123100203300233
5131211434031111
64352144110515
7505544045360
oct113320436057
928110404632
1010121002031
114324050698
121b6560543b
13c53aa54ca
146c025db67
153e381063b
hex25b423c2f

10121002031 has 16 divisors (see below), whose sum is σ = 11651126784. Its totient is φ = 8612067744.

The previous prime is 10121002027. The next prime is 10121002049. The reversal of 10121002031 is 13020012101.

10121002031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121002031 - 22 = 10121002027 is a prime.

It is a super-2 number, since 2×101210020312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121002051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098761 + ... + 1107933.

It is an arithmetic number, because the mean of its divisors is an integer number (728195424).

Almost surely, 210121002031 is an apocalyptic number.

10121002031 is a deficient number, since it is larger than the sum of its proper divisors (1530124753).

10121002031 is an equidigital number, since it uses as much as digits as its factorization.

10121002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10310.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10121002031 its reverse (13020012101), we get a palindrome (23141014132).

The spelling of 10121002031 in words is "ten billion, one hundred twenty-one million, two thousand, thirty-one".

Divisors: 1 7 163 967 1141 6769 9173 64211 157621 1103347 1495199 8870291 10466393 62092037 1445857433 10121002031