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31430181300 = 22352722965357
BaseRepresentation
bin11101010001011000…
…101000000110110100
310000010102102122021220
4131101120220012310
51003332111300200
622234441510340
72161604063430
oct352130500664
9100112378256
1031430181300
1112369577451
126111aa23b0
132c6b78021b
1417423759c0
15c3e4814a0
hex7516281b4

31430181300 has 144 divisors (see below), whose sum is σ = 104384568960. Its totient is φ = 7152560640.

The previous prime is 31430181287. The next prime is 31430181301. The reversal of 31430181300 is 318103413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31430181301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448222 + ... + 513578.

It is an arithmetic number, because the mean of its divisors is an integer number (724892840).

Almost surely, 231430181300 is an apocalyptic number.

31430181300 is a gapful number since it is divisible by the number (30) 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 31430181300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52192284480).

31430181300 is an abundant number, since it is smaller than the sum of its proper divisors (72954387660).

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

31430181300 is a wasteful number, since it uses less digits than its factorization.

31430181300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65610 (or 65603 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31430181300 its reverse (318103413), we get a palindrome (31748284713).

The spelling of 31430181300 in words is "thirty-one billion, four hundred thirty million, one hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 229 300 350 420 458 525 687 700 916 1050 1145 1374 1603 2100 2290 2748 3206 3435 4580 4809 5725 6412 6870 8015 9618 11450 13740 16030 17175 19236 22900 24045 32060 34350 40075 48090 65357 68700 80150 96180 120225 130714 160300 196071 240450 261428 326785 392142 457499 480900 653570 784284 914998 980355 1307140 1372497 1633925 1829996 1960710 2287495 2744994 3267850 3921420 4574990 4901775 5489988 6535700 6862485 9149980 9803550 11437475 13724970 14966753 19607100 22874950 27449940 29933506 34312425 44900259 45749900 59867012 68624850 74833765 89800518 104767271 137249700 149667530 179601036 209534542 224501295 299335060 314301813 374168825 419069084 449002590 523836355 628603626 748337650 898005180 1047672710 1122506475 1257207252 1496675300 1571509065 2095345420 2245012950 2619181775 3143018130 4490025900 5238363550 6286036260 7857545325 10476727100 15715090650 31430181300