Search a number
-
+
10300003123131 = 331795937334903
BaseRepresentation
bin1001010111100010100000…
…0001101111111110111011
31100110200002221000221201000
42111320220001233332323
52322223401244420011
633523431153100043
72112102451665201
oct225705001577673
940420087027630
1010300003123131
113311230273817
1211a4262257623
1359939480b827
14278746845071
1512cdd7a1c356
hex95e2806ffbb

10300003123131 has 64 divisors (see below), whose sum is σ = 15394495564800. Its totient is φ = 6806104330752.

The previous prime is 10300003123061. The next prime is 10300003123147. The reversal of 10300003123131 is 13132130000301.

It is a happy number.

10300003123131 is a `hidden beast` number, since 10 + 30 + 0 + 0 + 0 + 312 + 313 + 1 = 666.

It is not a de Polignac number, because 10300003123131 - 210 = 10300003122107 is a prime.

It is a super-2 number, since 2×103000031231312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10300003123171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2100752826 + ... + 2100757728.

It is an arithmetic number, because the mean of its divisors is an integer number (240538993200).

Almost surely, 210300003123131 is an apocalyptic number.

10300003123131 is a deficient number, since it is larger than the sum of its proper divisors (5094492441669).

10300003123131 is a wasteful number, since it uses less digits than its factorization.

10300003123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10300003123131 its reverse (13132130000301), we get a palindrome (23432133123432).

The spelling of 10300003123131 in words is "ten trillion, three hundred billion, three million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 179 537 593 733 1611 1779 2199 4833 4903 5337 6597 14709 16011 19791 44127 106147 131207 132381 318441 393621 434669 877637 955323 1180863 1304007 2632911 2865969 2907479 3542589 3593899 3912021 7898733 8722437 10781697 11736063 23696199 26167311 32345091 77805751 78501933 97035273 233417253 520438741 643307921 700251759 1561316223 1929923763 2100755277 2131182107 4683948669 5789771289 6393546321 14051846007 17369313867 19180638963 57541916889 381481597153 1144444791459 3433334374377 10300003123131