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130023123320 = 235191577511451
BaseRepresentation
bin111100100010111111…
…0110110100101111000
3110102121112110000212002
41321011332312211320
54112241404421240
6135422022440132
712252044212166
oct1710576664570
9412545400762
10130023123320
1150162733012
1221248593048
13c35190c77c
1464165a8236
1535aedced15
hex1e45fb6978

130023123320 has 128 divisors (see below), whose sum is σ = 310537497600. Its totient is φ = 48859200000.

The previous prime is 130023123313. The next prime is 130023123361. The reversal of 130023123320 is 23321320031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130023123292 and 130023123301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89608595 + ... + 89610045.

It is an arithmetic number, because the mean of its divisors is an integer number (2426074200).

Almost surely, 2130023123320 is an apocalyptic number.

130023123320 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 130023123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155268748800).

130023123320 is an abundant number, since it is smaller than the sum of its proper divisors (180514374280).

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

130023123320 is a wasteful number, since it uses less digits than its factorization.

130023123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 130023123320 its reverse (23321320031), we get a palindrome (153344443351).

The spelling of 130023123320 in words is "one hundred thirty billion, twenty-three million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 157 190 314 380 628 751 760 785 1256 1451 1502 1570 2902 2983 3004 3140 3755 5804 5966 6008 6280 7255 7510 11608 11932 14269 14510 14915 15020 23864 27569 28538 29020 29830 30040 55138 57076 58040 59660 71345 110276 114152 117907 119320 137845 142690 220552 227807 235814 275690 285380 455614 471628 551380 570760 589535 911228 943256 1089701 1102760 1139035 1179070 1822456 2179402 2240233 2278070 2358140 4328333 4358804 4480466 4556140 4716280 5448505 8656666 8717608 8960932 9112280 10897010 11201165 17313332 17921864 20704319 21641665 21794020 22402330 34626664 41408638 43283330 43588040 44804660 82817276 86566660 89609320 103521595 165634552 171083057 173133320 207043190 342166114 414086380 684332228 828172760 855415285 1368664456 1710830570 3250578083 3421661140 6501156166 6843322280 13002312332 16252890415 26004624664 32505780830 65011561660 130023123320