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31143422133 = 35437340829
BaseRepresentation
bin11101000000010010…
…101110100010110101
32222101102211202200000
4131000102232202311
51002240204002013
622150155341513
72151522502035
oct350022564265
988342752600
1031143422133
1112231716aaa
126051a51899
132c2423a145
14171624b8c5
15c241da973
hex7404ae8b5

31143422133 has 48 divisors (see below), whose sum is σ = 48391062720. Its totient is φ = 20001147264.

The previous prime is 31143422117. The next prime is 31143422137. The reversal of 31143422133 is 33122434113.

It is a happy number.

31143422133 is a `hidden beast` number, since 3 + 1 + 1 + 434 + 221 + 3 + 3 = 666.

It is not a de Polignac number, because 31143422133 - 24 = 31143422117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31143422097 and 31143422106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143422137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742363 + ... + 783191.

It is an arithmetic number, because the mean of its divisors is an integer number (1008147140).

Almost surely, 231143422133 is an apocalyptic number.

It is an amenable number.

31143422133 is a deficient number, since it is larger than the sum of its proper divisors (17247640587).

31143422133 is an equidigital number, since it uses as much as digits as its factorization.

31143422133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40960 (or 40948 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31143422133 its reverse (33122434113), we get a palindrome (64265856246).

The spelling of 31143422133 in words is "thirty-one billion, one hundred forty-three million, four hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 43 73 81 129 219 243 387 657 1161 1971 3139 3483 5913 9417 10449 17739 28251 40829 84753 122487 254259 367461 762777 1102383 1755647 2980517 3307149 5266941 8941551 9921447 15800823 26824653 47402469 80473959 128162231 142207407 241421877 384486693 426622221 724265631 1153460079 3460380237 10381140711 31143422133