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13214523000 = 233537629263
BaseRepresentation
bin11000100111010010…
…11001111001111000
31021002221110022200210
430103221121321320
5204030404214000
610023133031120
7645316410060
oct142351317170
937087408623
1013214523000
115671287798
1226896254a0
1313279724a3
148d504c3a0
155251c9350
hex313a59e78

13214523000 has 128 divisors (see below), whose sum is σ = 47119288320. Its totient is φ = 3020457600.

The previous prime is 13214522987. The next prime is 13214523013. The reversal of 13214523000 is 32541231.

It is an interprime number because it is at equal distance from previous prime (13214522987) and next prime (13214523013).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 293632 + ... + 335631.

It is an arithmetic number, because the mean of its divisors is an integer number (368119440).

Almost surely, 213214523000 is an apocalyptic number.

13214523000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13214523000 is an abundant number, since it is smaller than the sum of its proper divisors (33904765320).

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

13214523000 is a wasteful number, since it uses less digits than its factorization.

13214523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629294 (or 629280 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 13214523000 in words is "thirteen billion, two hundred fourteen million, five hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 629263 1258526 1887789 2517052 3146315 3775578 4404841 5034104 6292630 7551156 8809682 9438945 12585260 13214523 15102312 15731575 17619364 18877890 22024205 25170520 26429046 31463150 35238728 37755780 44048410 47194725 52858092 62926300 66072615 75511560 78657875 88096820 94389450 105716184 110121025 125852600 132145230 157315750 176193640 188778900 220242050 235973625 264290460 314631500 330363075 377557800 440484100 471947250 528580920 550605125 629263000 660726150 880968200 943894500 1101210250 1321452300 1651815375 1887789000 2202420500 2642904600 3303630750 4404841000 6607261500 13214523000