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1022312500133 = 232913611126159
BaseRepresentation
bin11101110000001101001…
…00101100101110100101
310121201202201022212112212
432320012210230232211
5113222144000001013
62101351024453205
7133600566605561
oct16700644545645
93551681285485
101022312500133
11364618833551
1214616a47a205
1375532aa4142
14376a18d26a1
151b8d55226a8
hexee0692cba5

1022312500133 has 16 divisors (see below), whose sum is σ = 1104357542400. Its totient is φ = 943450126080.

The previous prime is 1022312500103. The next prime is 1022312500147. The reversal of 1022312500133 is 3310052132201.

1022312500133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022312500133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022312500099 and 1022312500108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022312500103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344708 + ... + 1470866.

It is an arithmetic number, because the mean of its divisors is an integer number (69022346400).

Almost surely, 21022312500133 is an apocalyptic number.

It is an amenable number.

1022312500133 is a deficient number, since it is larger than the sum of its proper divisors (82045042267).

1022312500133 is a wasteful number, since it uses less digits than its factorization.

1022312500133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127572.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 1022312500133 its reverse (3310052132201), we get a palindrome (4332364632334).

The spelling of 1022312500133 in words is "one trillion, twenty-two billion, three hundred twelve million, five hundred thousand, one hundred thirty-three".

Divisors: 1 23 29 667 1361 31303 39469 907787 1126159 25901657 32658611 751148053 1532702399 35252155177 44448369571 1022312500133