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1022235222132 = 2232142319954619
BaseRepresentation
bin11101110000000011111…
…01111010000001110100
310121201120022220202001200
432320001331322001310
5113222014204102012
62101335224252500
7133565641010355
oct16700175720164
93551508822050
101022235222132
11364589151433
12146148611130
137551ca87a07
1437695537d2c
151b8cd85a3dc
hexee01f7a074

1022235222132 has 36 divisors (see below), whose sum is σ = 2585799478080. Its totient is φ = 340505601552.

The previous prime is 1022235222131. The next prime is 1022235222139. The reversal of 1022235222132 is 2312225322201.

1022235222132 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 3 + 522 + 2 + 132 = 666.

1022235222132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1022235222096 and 1022235222105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022235222131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9926082 + ... + 10028537.

It is an arithmetic number, because the mean of its divisors is an integer number (71827763280).

Almost surely, 21022235222132 is an apocalyptic number.

1022235222132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022235222132 is an abundant number, since it is smaller than the sum of its proper divisors (1563564255948).

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

1022235222132 is a wasteful number, since it uses less digits than its factorization.

1022235222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19956052 (or 19956047 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1022235222132 in words is "one trillion, twenty-two billion, two hundred thirty-five million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1423 2846 4269 5692 8538 12807 17076 25614 51228 19954619 39909238 59863857 79818476 119727714 179591571 239455428 359183142 718366284 28395422837 56790845674 85186268511 113581691348 170372537022 255558805533 340745074044 511117611066 1022235222132