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313032130000 = 245441763493
BaseRepresentation
bin1001000111000100010…
…10110011110111010000
31002220222202011211021121
410203202022303313100
520112042211130000
6355445512532024
731421141126422
oct4434212636720
91086882154247
10313032130000
11110835527477
12508019b1014
1323698a6cc35
1411217c72812
15822185ab1a
hex48e22b3dd0

313032130000 has 100 divisors (see below), whose sum is σ = 776368035828. Its totient is φ = 122158720000.

The previous prime is 313032129989. The next prime is 313032130013. The reversal of 313032130000 is 31230313.

It can be written as a sum of positive squares in 10 ways, for example, as 254330593344 + 58701536656 = 504312^2 + 242284^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×3130321300002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28254 + ... + 791746.

Almost surely, 2313032130000 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 313032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388184017914).

313032130000 is an abundant number, since it is smaller than the sum of its proper divisors (463335905828).

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

313032130000 is an equidigital number, since it uses as much as digits as its factorization.

313032130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763562 (or 763541 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 313032130000 its reverse (31230313), we get a palindrome (313063360313).

The spelling of 313032130000 in words is "three hundred thirteen billion, thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 41000 51250 82000 102500 205000 410000 763493 1526986 3053972 3817465 6107944 7634930 12215888 15269860 19087325 30539720 31303213 38174650 61079440 62606426 76349300 95436625 125212852 152698600 156516065 190873250 250425704 305397200 313032130 381746500 477183125 500851408 626064260 763493000 782580325 954366250 1252128520 1526986000 1565160650 1908732500 2504257040 3130321300 3817465000 3912901625 6260642600 7634930000 7825803250 12521285200 15651606500 19564508125 31303213000 39129016250 62606426000 78258032500 156516065000 313032130000