Search a number
-
+
32123131100 = 22529714332311
BaseRepresentation
bin11101111010101100…
…000001010011011100
310001220201100010201022
4131322230001103130
51011242010143400
622431314103312
72215020052304
oct357254012334
9101821303638
1032123131100
1112694740935
126285b7ab38
13304c1c15a8
1417aa3d6604
15c8020eb85
hex77ab014dc

32123131100 has 72 divisors (see below), whose sum is σ = 70505466528. Its totient is φ = 12702412800.

The previous prime is 32123131067. The next prime is 32123131111. The reversal of 32123131100 is 113132123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13898945 + ... + 13901255.

Almost surely, 232123131100 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 32123131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35252733264).

32123131100 is an abundant number, since it is smaller than the sum of its proper divisors (38382335428).

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

32123131100 is a wasteful number, since it uses less digits than its factorization.

32123131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 32123131100 its reverse (113132123), we get a palindrome (32236263223).

The spelling of 32123131100 in words is "thirty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1433 1940 2311 2425 2866 4622 4850 5732 7165 9244 9700 11555 14330 23110 28660 35825 46220 57775 71650 115550 139001 143300 224167 231100 278002 448334 556004 695005 896668 1120835 1390010 2241670 2780020 3311663 3475025 4483340 5604175 6623326 6950050 11208350 13246652 13900100 16558315 22416700 33116630 66233260 82791575 165583150 321231311 331166300 642462622 1284925244 1606156555 3212313110 6424626220 8030782775 16061565550 32123131100