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1023220032131 = 11372591151651
BaseRepresentation
bin11101110001111001010…
…10101010001010000011
310121211002222000021102002
432320330222222022003
5113231023312012011
62102021044214215
7133632226524503
oct16707452521203
93554088007362
101023220032131
11364a4403a7a0
1214638239a36b
1375648b06c1b
143774a24da03
151b93a03ac3b
hexee3caaa283

1023220032131 has 24 divisors (see below), whose sum is σ = 1166669542080. Its totient is φ = 889718724000.

The previous prime is 1023220032091. The next prime is 1023220032139. The reversal of 1023220032131 is 1312300223201.

1023220032131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1023220032131 - 226 = 1023152923267 is a prime.

It is a super-2 number, since 2×10232200321312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023220032139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312656 + ... + 1464306.

It is an arithmetic number, because the mean of its divisors is an integer number (48611230920).

Almost surely, 21023220032131 is an apocalyptic number.

1023220032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1023220032131 is a deficient number, since it is larger than the sum of its proper divisors (143449509949).

1023220032131 is a wasteful number, since it uses less digits than its factorization.

1023220032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151795 (or 1151758 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1023220032131 its reverse (1312300223201), we get a palindrome (2335520255332).

The spelling of 1023220032131 in words is "one trillion, twenty-three billion, two hundred twenty million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 37 59 407 649 1369 2183 15059 24013 80771 888481 1151651 12668161 42611087 67947409 468721957 747421499 1576610219 2514054133 17342712409 27654595463 93020002921 1023220032131