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130313323000 = 2353744342023
BaseRepresentation
bin111100101011101000…
…1111000000111111000
3110110100202111200222101
41321113101320013320
54113340202314000
6135510510433144
712262166653330
oct1712721700770
9413322450871
10130313323000
11502a1523363
12213098027b4
13c399a88863
146442d4a0c0
1535ca604e6a
hex1e574781f8

130313323000 has 128 divisors (see below), whose sum is σ = 349290040320. Its totient is φ = 44576937600.

The previous prime is 130313322983. The next prime is 130313323001. The reversal of 130313323000 is 323313031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130313323001) 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, 3079989 + ... + 3122011.

It is an arithmetic number, because the mean of its divisors is an integer number (2728828440).

Almost surely, 2130313323000 is an apocalyptic number.

130313323000 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 130313323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174645020160).

130313323000 is an abundant number, since it is smaller than the sum of its proper divisors (218976717320).

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

130313323000 is a wasteful number, since it uses less digits than its factorization.

130313323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42494 (or 42480 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 130313323000 its reverse (323313031), we get a palindrome (130636636031).

The spelling of 130313323000 in words is "one hundred thirty billion, three hundred thirteen million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 443 500 700 875 886 1000 1400 1750 1772 2215 3101 3500 3544 4430 6202 7000 8860 11075 12404 15505 17720 22150 24808 31010 42023 44300 55375 62020 77525 84046 88600 110750 124040 155050 168092 210115 221500 294161 310100 336184 387625 420230 443000 588322 620200 775250 840460 1050575 1176644 1470805 1550500 1680920 2101150 2353288 2941610 3101000 4202300 5252875 5883220 7354025 8404600 10505750 11766440 14708050 18616189 21011500 29416100 36770125 37232378 42023000 58832200 73540250 74464756 93080945 130313323 147080500 148929512 186161890 260626646 294161000 372323780 465404725 521253292 651566615 744647560 930809450 1042506584 1303133230 1861618900 2327023625 2606266460 3257833075 3723237800 4654047250 5212532920 6515666150 9308094500 13031332300 16289165375 18616189000 26062664600 32578330750 65156661500 130313323000