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1131023040210 = 2345729411271321
BaseRepresentation
bin10000011101010110001…
…110011111111011010010
311000010100221101111110000
4100131112032133323102
5122012313344241320
62223330152550430
7144466543134630
oct20352616377322
94003327344400
101131023040210
113a67340252a8
121632493b2416
13828690b66bb
143ca5573a350
151e64930cc90
hex1075639fed2

1131023040210 has 640 divisors, whose sum is σ = 3715008675840. Its totient is φ = 241416806400.

The previous prime is 1131023040163. The next prime is 1131023040221. The reversal of 1131023040210 is 120403201311.

1131023040210 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 230 + 402 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 856186350 + ... + 856187670.

It is an arithmetic number, because the mean of its divisors is an integer number (5804701056).

Almost surely, 21131023040210 is an apocalyptic number.

1131023040210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131023040210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857504337920).

1131023040210 is an abundant number, since it is smaller than the sum of its proper divisors (2583985635630).

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

1131023040210 is a wasteful number, since it uses less digits than its factorization.

1131023040210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1131023040210 its reverse (120403201311), we get a palindrome (1251426241521).

The spelling of 1131023040210 in words is "one trillion, one hundred thirty-one billion, twenty-three million, forty thousand, two hundred ten".