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1022438131 = 1113371731117
BaseRepresentation
bin111100111100010…
…010101011110011
32122020220020102221
4330330102223303
54043221010011
6245242221511
734223403121
oct7474225363
92566806387
101022438131
114851599a0
122464b4897
13133a952a0
1499b0c911
155eb64971
hex3cf12af3

1022438131 has 32 divisors (see below), whose sum is σ = 1241892288. Its totient is φ = 829232640.

The previous prime is 1022438129. The next prime is 1022438143. The reversal of 1022438131 is 1318342201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1022438131 - 21 = 1022438129 is a prime.

It is a super-2 number, since 2×10224381312 = 2090759463445546322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022438096 and 1022438105.

It is not an unprimeable number, because it can be changed into a prime (1022438111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914785 + ... + 915901.

It is an arithmetic number, because the mean of its divisors is an integer number (38809134).

Almost surely, 21022438131 is an apocalyptic number.

1022438131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1022438131 is a deficient number, since it is larger than the sum of its proper divisors (219454157).

1022438131 is a wasteful number, since it uses less digits than its factorization.

1022438131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1022438131 is about 31975.5864840662. The cubic root of 1022438131 is about 1007.4241229978.

The spelling of 1022438131 in words is "one billion, twenty-two million, four hundred thirty-eight thousand, one hundred thirty-one".

Divisors: 1 11 13 37 143 173 407 481 1117 1903 2249 5291 6401 12287 14521 24739 41329 70411 83213 159731 193241 454619 537277 915343 2125651 2512133 5910047 7149917 27633463 78649087 92948921 1022438131