Search a number
-
+
31102020320 = 255729394777
BaseRepresentation
bin11100111101110100…
…110010101011100000
32222021112221100001112
4130331310302223200
51002144104122240
622142120122452
72150510545040
oct347564625340
988245840045
1031102020320
1112210309228
126040006428
132c187a2527
141710951720
15c2075d665
hex73dd32ae0

31102020320 has 96 divisors (see below), whose sum is σ = 84262949568. Its totient is φ = 10627043328.

The previous prime is 31102020307. The next prime is 31102020331. The reversal of 31102020320 is 2302020113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 31102020295 and 31102020304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280772 + ... + 375548.

It is an arithmetic number, because the mean of its divisors is an integer number (877739058).

Almost surely, 231102020320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31102020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131474784).

31102020320 is an abundant number, since it is smaller than the sum of its proper divisors (53160929248).

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

31102020320 is a wasteful number, since it uses less digits than its factorization.

31102020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95092 (or 95084 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31102020320 its reverse (2302020113), we get a palindrome (33404040433).

The spelling of 31102020320 in words is "thirty-one billion, one hundred two million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 293 560 586 1120 1172 1465 2051 2344 2930 4102 4688 5860 8204 9376 10255 11720 16408 20510 23440 32816 41020 46880 65632 82040 94777 164080 189554 328160 379108 473885 663439 758216 947770 1326878 1516432 1895540 2653756 3032864 3317195 3791080 5307512 6634390 7582160 10615024 13268780 15164320 21230048 26537560 27769661 53075120 55539322 106150240 111078644 138848305 194387627 222157288 277696610 388775254 444314576 555393220 777550508 888629152 971938135 1110786440 1555101016 1943876270 2221572880 3110202032 3887752540 4443145760 6220404064 7775505080 15551010160 31102020320