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23103131000 = 2353411633457
BaseRepresentation
bin10101100001000011…
…011100110101111000
32012122002121122201112
4111201003130311320
5334303400143000
614340300135452
71445342242025
oct254103346570
965562548645
1023103131000
11988612a2a4
124589237588
13224255ab21
14119249654c
159033d2235
hex5610dcd78

23103131000 has 128 divisors (see below), whose sum is σ = 55735767360. Its totient is φ = 8957952000.

The previous prime is 23103130987. The next prime is 23103131003. The reversal of 23103131000 is 13130132.

It is a super-2 number, since 2×231031310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23103131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6681272 + ... + 6684728.

Almost surely, 223103131000 is an apocalyptic number.

23103131000 is a gapful number since it is divisible by the number (20) 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 23103131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27867883680).

23103131000 is an abundant number, since it is smaller than the sum of its proper divisors (32632636360).

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

23103131000 is a wasteful number, since it uses less digits than its factorization.

23103131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 23103131000 its reverse (13130132), we get a palindrome (23116261132).

The spelling of 23103131000 in words is "twenty-three billion, one hundred three million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 163 164 200 205 250 326 328 410 500 652 815 820 1000 1025 1304 1630 1640 2050 3260 3457 4075 4100 5125 6520 6683 6914 8150 8200 10250 13366 13828 16300 17285 20375 20500 26732 27656 32600 33415 34570 40750 41000 53464 66830 69140 81500 86425 133660 138280 141737 163000 167075 172850 267320 283474 334150 345700 432125 563491 566948 668300 691400 708685 835375 864250 1126982 1133896 1336600 1417370 1670750 1728500 2253964 2817455 2834740 3341500 3457000 3543425 4507928 5634910 5669480 6683000 7086850 11269820 14087275 14173700 17717125 22539640 23103131 28174550 28347400 35434250 46206262 56349100 70436375 70868500 92412524 112698200 115515655 140872750 141737000 184825048 231031310 281745500 462062620 563491000 577578275 924125240 1155156550 2310313100 2887891375 4620626200 5775782750 11551565500 23103131000