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11103132400131 = 3372657358110513
BaseRepresentation
bin1010000110010010011001…
…0000110011101000000011
31110022110010101110102201210
42201210212100303220003
52423403203343301011
635340413020501203
72224113654132612
oct241444620635003
943273111412653
1011103132400131
1135a08a2866652
1212b3a406aa803
13627036b940a5
142a5574625879
15143c408dc6a6
hexa1926433a03

11103132400131 has 32 divisors (see below), whose sum is σ = 15215706370368. Its totient is φ = 7196626206720.

The previous prime is 11103132400127. The next prime is 11103132400259. The reversal of 11103132400131 is 13100423130111.

It is not a de Polignac number, because 11103132400131 - 22 = 11103132400127 is a prime.

It is a super-2 number, since 2×111031324001312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11103132400098 and 11103132400107.

It is not an unprimeable number, because it can be changed into a prime (11103132400111) 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 31 ways as a sum of consecutive naturals, for example, 1056128331 + ... + 1056138843.

It is an arithmetic number, because the mean of its divisors is an integer number (475490824074).

Almost surely, 211103132400131 is an apocalyptic number.

11103132400131 is a deficient number, since it is larger than the sum of its proper divisors (4112573970237).

11103132400131 is a wasteful number, since it uses less digits than its factorization.

11103132400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16791.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11103132400131 its reverse (13100423130111), we get a palindrome (24203555530242).

The spelling of 11103132400131 in words is "eleven trillion, one hundred three billion, one hundred thirty-two million, four hundred thousand, one hundred thirty-one".

Divisors: 1 3 37 111 2657 3581 7971 10513 10743 31539 98309 132497 294927 388981 397491 1166943 9514717 27933041 28544151 37647053 83799123 112941159 352044529 1033522517 1056133587 1392940961 3100567551 4178822883 100028219821 300084659463 3701044133377 11103132400131