Search a number
-
+
231032100012 = 22374760197369
BaseRepresentation
bin1101011100101010010…
…1100001010010101100
3211002100000122200220220
43113022211201102230
512241123204200022
6254045031411340
722456122306540
oct3271245412254
9732300580826
10231032100012
1189a8666324a
1238938223b50
1318a2b48022c
14b279631a20
1560229c085c
hex35ca9614ac

231032100012 has 96 divisors (see below), whose sum is σ = 630247188480. Its totient is φ = 64496563200.

The previous prime is 231032100011. The next prime is 231032100109. The reversal of 231032100012 is 210001230132.

It is a junction number, because it is equal to n+sod(n) for n = 231032099964 and 231032100000.

It is not an unprimeable number, because it can be changed into a prime (231032100011) 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, 2324064 + ... + 2421432.

It is an arithmetic number, because the mean of its divisors is an integer number (6565074880).

Almost surely, 2231032100012 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 231032100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315123594240).

231032100012 is an abundant number, since it is smaller than the sum of its proper divisors (399215088468).

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

231032100012 is a wasteful number, since it uses less digits than its factorization.

231032100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98031 (or 98029 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 231032100012 its reverse (210001230132), we get a palindrome (441033330144).

The spelling of 231032100012 in words is "two hundred thirty-one billion, thirty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 601 658 987 1202 1316 1803 1974 2404 3606 3948 4207 7212 8414 12621 16828 25242 28247 50484 56494 84741 97369 112988 169482 194738 197729 292107 338964 389476 395458 584214 593187 681583 790916 1168428 1186374 1363166 2044749 2372748 2726332 4089498 4576343 8178996 9152686 13729029 18305372 27458058 32034401 54916116 58518769 64068802 96103203 117037538 128137604 175556307 192206406 234075076 351112614 384412812 409631383 702225228 819262766 1228894149 1638525532 2457788298 2750382143 4915576596 5500764286 8251146429 11001528572 16502292858 19252675001 33004585716 38505350002 57758025003 77010700004 115516050006 231032100012