Search a number
-
+
13042311400 = 2352732513559
BaseRepresentation
bin11000010010110000…
…11110000011101000
31020122221102001210101
430021120132003220
5203202312431100
65554101555144
7641125550326
oct141130360350
936587361711
1013042311400
115593054658
12263ba15ab4
1312cb097631
148ba220d16
1551500d86a
hex30961e0e8

13042311400 has 96 divisors (see below), whose sum is σ = 30869899200. Its totient is φ = 5123520000.

The previous prime is 13042311377. The next prime is 13042311409. The reversal of 13042311400 is 411324031.

It is not an unprimeable number, because it can be changed into a prime (13042311409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3662821 + ... + 3666379.

It is an arithmetic number, because the mean of its divisors is an integer number (321561450).

Almost surely, 213042311400 is an apocalyptic number.

13042311400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434949600).

13042311400 is an abundant number, since it is smaller than the sum of its proper divisors (17827587800).

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

13042311400 is a wasteful number, since it uses less digits than its factorization.

13042311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13042311400 its reverse (411324031), we get a palindrome (13453635431).

The spelling of 13042311400 in words is "thirteen billion, forty-two million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 251 292 365 502 584 730 1004 1255 1460 1825 2008 2510 2920 3559 3650 5020 6275 7118 7300 10040 12550 14236 14600 17795 18323 25100 28472 35590 36646 50200 71180 73292 88975 91615 142360 146584 177950 183230 259807 355900 366460 458075 519614 711800 732920 893309 916150 1039228 1299035 1786618 1832300 2078456 2598070 3573236 3664600 4466545 5196140 6495175 7146472 8933090 10392280 12990350 17866180 22332725 25980700 35732360 44665450 51961400 65211557 89330900 130423114 178661800 260846228 326057785 521692456 652115570 1304231140 1630288925 2608462280 3260577850 6521155700 13042311400