Search a number
-
+
102031310213031 = 341941998108923
BaseRepresentation
bin10111001100110000000100…
…000000000100111110100111
3111101021002122102212000000110
4113030300010000010332213
5101333140110403304111
61001000311542144103
730330342661104243
oct2714600400047647
9441232572760013
10102031310213031
112a568265734481
12b53a427422033
1344c1685344b94
141b2a4adb29423
15bbe1064325a6
hex5ccc04004fa7

102031310213031 has 8 divisors (see below), whose sum is σ = 136041796163200. Its totient is φ = 68020848869112.

The previous prime is 102031310212999. The next prime is 102031310213033. The reversal of 102031310213031 is 130312013130201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102031310213031 - 25 = 102031310212999 is a prime.

It is a super-2 number, since 2×1020313102130312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102031310212989 and 102031310213007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102031310213033) 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 7 ways as a sum of consecutive naturals, for example, 8528136 + ... + 16637058.

It is an arithmetic number, because the mean of its divisors is an integer number (17005224520400).

Almost surely, 2102031310213031 is an apocalyptic number.

102031310213031 is a deficient number, since it is larger than the sum of its proper divisors (34010485950169).

102031310213031 is an equidigital number, since it uses as much as digits as its factorization.

102031310213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303125.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102031310213031 its reverse (130312013130201), we get a palindrome (232343323343232).

The spelling of 102031310213031 in words is "one hundred two trillion, thirty-one billion, three hundred ten million, two hundred thirteen thousand, thirty-one".

Divisors: 1 3 4194199 8108923 12582597 24326769 34010436737677 102031310213031