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10214520000 = 2635485121
BaseRepresentation
bin10011000001101010…
…10011010011000000
3222100212102101020120
421200311103103000
5131404404120000
64405324340240
7511060662456
oct114065232300
928325371216
1010214520000
114371915073
121b909a4680
13c6a289799
146cc8449d6
153ebb346a0
hex260d534c0

10214520000 has 140 divisors (see below), whose sum is σ = 33771983256. Its totient is φ = 2723840000.

The previous prime is 10214519981. The next prime is 10214520047. The reversal of 10214520000 is 2541201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77440 + ... + 162560.

Almost surely, 210214520000 is an apocalyptic number.

10214520000 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 10214520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885991628).

10214520000 is an abundant number, since it is smaller than the sum of its proper divisors (23557463256).

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

10214520000 is an frugal number, since it uses more digits than its factorization.

10214520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85156 (or 85131 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 10214520000 in words is "ten billion, two hundred fourteen million, five hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 85121 120000 170242 255363 340484 425605 510726 680968 851210 1021452 1276815 1361936 1702420 2042904 2128025 2553630 2723872 3404840 4085808 4256050 5107260 5447744 6384075 6809680 8171616 8512100 10214520 10640125 12768150 13619360 16343232 17024200 20429040 21280250 25536300 27238720 31920375 34048400 40858080 42560500 51072600 53200625 63840750 68096800 81716160 85121000 102145200 106401250 127681500 136193600 159601875 170242000 204290400 212802500 255363000 319203750 340484000 408580800 425605000 510726000 638407500 680968000 851210000 1021452000 1276815000 1702420000 2042904000 2553630000 3404840000 5107260000 10214520000