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13102111000 = 2353112351787
BaseRepresentation
bin11000011001111001…
…00101100100011000
31020211002221012102101
430030330211210120
5203313120023000
610004035413144
7642453051226
oct141474454430
936732835371
1013102111000
115613888a10
122657a541b4
13130a5a4304
148c4149b16
1551a3c1e6a
hex30cf25918

13102111000 has 128 divisors (see below), whose sum is σ = 34900968960. Its totient is φ = 4557168000.

The previous prime is 13102110979. The next prime is 13102111013. The reversal of 13102111000 is 11120131.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 227107 + ... + 278893.

It is an arithmetic number, because the mean of its divisors is an integer number (272663820).

Almost surely, 213102111000 is an apocalyptic number.

13102111000 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 13102111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450484480).

13102111000 is an abundant number, since it is smaller than the sum of its proper divisors (21798857960).

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

13102111000 is a wasteful number, since it uses less digits than its factorization.

13102111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51842 (or 51828 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13102111000 its reverse (11120131), we get a palindrome (13113231131).

The spelling of 13102111000 in words is "thirteen billion, one hundred two million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 50600 51787 63250 103574 126500 207148 253000 258935 414296 517870 569657 1035740 1139314 1191101 1294675 2071480 2278628 2382202 2589350 2848285 4557256 4764404 5178700 5696570 5955505 6473375 9528808 10357400 11393140 11911010 12946750 13102111 14241425 22786280 23822020 25893500 26204222 28482850 29777525 47644040 51787000 52408444 56965700 59555050 65510555 71207125 104816888 113931400 119110100 131021110 142414250 148887625 238220200 262042220 284828500 297775250 327552775 524084440 569657000 595550500 655105550 1191101000 1310211100 1637763875 2620422200 3275527750 6551055500 13102111000