Search a number
-
+
10001011212111 = 3174431013436979
BaseRepresentation
bin1001000110001000101010…
…1110000111111101001111
31022102002100200000011001210
42101202022232013331033
52302324032332241421
633134222350505503
72051356244453463
oct221421256077517
938362320004053
1010001011212111
113206450115707
12115631a505293
135771257bcb9a
142680a15584a3
15125238adb576
hex9188ab87f4f

10001011212111 has 32 divisors (see below), whose sum is σ = 14164947912960. Its totient is φ = 6254784233984.

The previous prime is 10001011212107. The next prime is 10001011212119. The reversal of 10001011212111 is 11121211010001.

It is not a de Polignac number, because 10001011212111 - 22 = 10001011212107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011212119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22668220 + ... + 23105198.

It is an arithmetic number, because the mean of its divisors is an integer number (442654622280).

Almost surely, 210001011212111 is an apocalyptic number.

10001011212111 is a deficient number, since it is larger than the sum of its proper divisors (4163936700849).

10001011212111 is a wasteful number, since it uses less digits than its factorization.

10001011212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438455.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10001011212111 its reverse (11121211010001), we get a palindrome (21122222222112).

The spelling of 10001011212111 in words is "ten trillion, one billion, eleven million, two hundred twelve thousand, one hundred eleven".

Divisors: 1 3 17 51 443 1013 1329 3039 7531 17221 22593 51663 436979 448759 1310937 1346277 7428643 7628903 22285929 22886709 193581697 442659727 580745091 1327979181 3290888849 7525215359 9872666547 22575646077 196098259061 588294777183 3333670404037 10001011212111