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130002323100 = 223521337900917
BaseRepresentation
bin111100100010010111…
…1100000011010011100
3110102120002022021022120
41321010233200122130
54112221043314400
6135420000542540
712251402341146
oct1710457403234
9412502267276
10130002323100
1150151a16551
1221241621a50
13c34a509050
146413911c96
1535ad171ca0
hex1e44be069c

130002323100 has 144 divisors (see below), whose sum is σ = 416022310368. Its totient is φ = 31135656960.

The previous prime is 130002323081. The next prime is 130002323107. The reversal of 130002323100 is 1323200031.

It is a super-2 number, since 2×1300023231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130002323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130002323107) 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, 306159 + ... + 594758.

It is an arithmetic number, because the mean of its divisors is an integer number (2889043822).

Almost surely, 2130002323100 is an apocalyptic number.

130002323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130002323100 is an abundant number, since it is smaller than the sum of its proper divisors (286019987268).

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

130002323100 is a wasteful number, since it uses less digits than its factorization.

130002323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900984 (or 900977 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130002323100 its reverse (1323200031), we get a palindrome (131325523131).

The spelling of 130002323100 in words is "one hundred thirty billion, two million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 144300 900917 1801834 2702751 3603668 4504585 5405502 9009170 10811004 11711921 13513755 18018340 22522925 23423842 27027510 33333929 35135763 45045850 46847684 54055020 58559605 66667858 67568775 70271526 90091700 100001787 117119210 133335716 135137550 140543052 166669645 175678815 200003574 234238420 270275100 292798025 333339290 351357630 400007148 433341077 500008935 585596050 666678580 702715260 833348225 866682154 878394075 1000017870 1171192100 1300023231 1666696450 1733364308 1756788150 2000035740 2166705385 2500044675 2600046462 3333392900 3513576300 4333410770 5000089350 5200092924 6500116155 8666821540 10000178700 10833526925 13000232310 21667053850 26000464620 32500580775 43334107700 65001161550 130002323100