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1131011314004 = 22111314747134081
BaseRepresentation
bin10000011101010101100…
…001110001000101010100
311000010100010022202010002
4100131111201301011110
5122012302344022004
62223325053350432
7144466341355505
oct20352541610524
94003303282102
101131011314004
113a6728446220
12163245498418
138286683c210
143ca53d66bac
151e64829361e
hex10755871154

1131011314004 has 48 divisors (see below), whose sum is σ = 2325471011136. Its totient is φ = 474514483200.

The previous prime is 1131011313931. The next prime is 1131011314091. The reversal of 1131011314004 is 4004131101311.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8368244 + ... + 8502324.

It is an arithmetic number, because the mean of its divisors is an integer number (48447312732).

Almost surely, 21131011314004 is an apocalyptic number.

It is an amenable number.

1131011314004 is an abundant number, since it is smaller than the sum of its proper divisors (1194459697132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131011314004 is a wasteful number, since it uses less digits than its factorization.

1131011314004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148856 (or 148854 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1131011314004 its reverse (4004131101311), we get a palindrome (5135142415315).

The spelling of 1131011314004 in words is "one trillion, one hundred thirty-one billion, eleven million, three hundred fourteen thousand, four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 14747 29494 58988 134081 162217 191711 268162 324434 383422 536324 648868 766844 1474891 1743053 2108821 2949782 3486106 4217642 5899564 6972212 8435284 19173583 38347166 76694332 1977292507 3954585014 7909170028 21750217577 25704802591 43500435154 51409605182 87000870308 102819210364 282752828501 565505657002 1131011314004