Search a number
-
+
11001020212195 = 5132431151119991
BaseRepresentation
bin1010000000010101111111…
…1001101110001111100011
31102221200120000100211100021
42200011133321232033203
52420220042133242240
635221444322134311
72213540351636026
oct240053771561743
942850500324307
1011001020212195
113561563128492
1212980a34b1397
1361a5128ba100
142a0648c651bd
1514126602e54a
hexa015fe6e3e3

11001020212195 has 48 divisors (see below), whose sum is σ = 14338183071744. Its totient is φ = 8099212368000.

The previous prime is 11001020212103. The next prime is 11001020212199. The reversal of 11001020212195 is 59121202010011.

It is not a de Polignac number, because 11001020212195 - 215 = 11001020179427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11001020212199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550288650 + ... + 550308640.

It is an arithmetic number, because the mean of its divisors is an integer number (298712147328).

Almost surely, 211001020212195 is an apocalyptic number.

11001020212195 is a deficient number, since it is larger than the sum of its proper divisors (3337162859549).

11001020212195 is a wasteful number, since it uses less digits than its factorization.

11001020212195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21964 (or 21951 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 25.

The spelling of 11001020212195 in words is "eleven trillion, one billion, twenty million, two hundred twelve thousand, one hundred ninety-five".

Divisors: 1 5 13 65 169 431 845 1511 2155 5603 7555 19643 19991 28015 72839 98215 99955 255359 259883 364195 651241 1276795 1299415 3256205 3378479 8466133 8616121 16892395 30206401 42330665 43080605 110059729 112009573 151032005 392683213 550298645 560047865 1456124449 1963416065 5104881769 7280622245 13018958831 25524408845 65094794155 169246464803 846232324015 2200204042439 11001020212195