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31143428106 = 2372972735171
BaseRepresentation
bin11101000000010010…
…110000000000001010
32222101102212001212020
4131000102300000022
51002240204144411
622150155425310
72151522525330
oct350022600012
988342761766
1031143428106
111223172053a
126051a55236
132c2423ca8b
14171624db50
15c241dc606
hex7404b000a

31143428106 has 64 divisors (see below), whose sum is σ = 73743022080. Its totient is φ = 8579229120.

The previous prime is 31143428081. The next prime is 31143428123. The reversal of 31143428106 is 60182434113.

It is a super-2 number, since 2×311434281062 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867901 + ... + 903071.

It is an arithmetic number, because the mean of its divisors is an integer number (1152234720).

Almost surely, 231143428106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143428106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36871511040).

31143428106 is an abundant number, since it is smaller than the sum of its proper divisors (42599593974).

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

31143428106 is a wasteful number, since it uses less digits than its factorization.

31143428106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35939.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 31143428106 in words is "thirty-one billion, one hundred forty-three million, four hundred twenty-eight thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 727 1218 1454 2181 4362 5089 10178 15267 21083 30534 35171 42166 63249 70342 105513 126498 147581 211026 246197 295162 442743 492394 738591 885486 1019959 1477182 2039918 3059877 6119754 7139713 14279426 21419139 25569317 42838278 51138634 76707951 153415902 178985219 357970438 536955657 741510193 1073911314 1483020386 2224530579 4449061158 5190571351 10381142702 15571714053 31143428106