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13023103000 = 2353891311117
BaseRepresentation
bin11000010000011110…
…01100100000011000
31020121121021011211011
430020033030200120
5203132403244000
65552134143304
7640503356215
oct141017144030
936547234734
1013023103000
115583225046
1226354b1b34
1312c710060b
148b7860b0c
155134b72ba
hex3083cc818

13023103000 has 128 divisors (see below), whose sum is σ = 31079505600. Its totient is φ = 5106816000.

The previous prime is 13023102997. The next prime is 13023103003. The reversal of 13023103000 is 30132031.

It is an interprime number because it is at equal distance from previous prime (13023102997) and next prime (13023103003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023103003) 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, 11658442 + ... + 11659558.

Almost surely, 213023103000 is an apocalyptic number.

13023103000 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 13023103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539752800).

13023103000 is an abundant number, since it is smaller than the sum of its proper divisors (18056402600).

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

13023103000 is a wasteful number, since it uses less digits than its factorization.

13023103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13023103000 its reverse (30132031), we get a palindrome (13053235031).

The spelling of 13023103000 in words is "thirteen billion, twenty-three million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 131 178 200 250 262 356 445 500 524 655 712 890 1000 1048 1117 1310 1780 2225 2234 2620 3275 3560 4450 4468 5240 5585 6550 8900 8936 11125 11170 11659 13100 16375 17800 22250 22340 23318 26200 27925 32750 44500 44680 46636 55850 58295 65500 89000 93272 99413 111700 116590 131000 139625 146327 198826 223400 233180 279250 291475 292654 397652 466360 497065 558500 582950 585308 731635 795304 994130 1117000 1165900 1170616 1457375 1463270 1988260 2331800 2485325 2914750 2926540 3658175 3976520 4970650 5829500 5853080 7316350 9941300 11659000 12426625 13023103 14632700 18290875 19882600 24853250 26046206 29265400 36581750 49706500 52092412 65115515 73163500 99413000 104184824 130231030 146327000 260462060 325577575 520924120 651155150 1302310300 1627887875 2604620600 3255775750 6511551500 13023103000