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10214424300 = 2235241830441
BaseRepresentation
bin10011000001101001…
…11011111011101100
3222100212020111222010
421200310323323230
5131404343034200
64405322321220
7511060113453
oct114064737354
928325214863
1010214424300
11437185a183
121b90959210
13c6a255062
146cc81bb9a
153ebb16150
hex260d3beec

10214424300 has 72 divisors (see below), whose sum is σ = 30274593552. Its totient is φ = 2657408000.

The previous prime is 10214424281. The next prime is 10214424307. The reversal of 10214424300 is 342441201.

It is not an unprimeable number, because it can be changed into a prime (10214424307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402921 + ... + 427520.

It is an arithmetic number, because the mean of its divisors is an integer number (420480466).

Almost surely, 210214424300 is an apocalyptic number.

10214424300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214424300 is an abundant number, since it is smaller than the sum of its proper divisors (20060169252).

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

10214424300 is a wasteful number, since it uses less digits than its factorization.

10214424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830499 (or 830492 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10214424300 its reverse (342441201), we get a palindrome (10556865501).

The spelling of 10214424300 in words is "ten billion, two hundred fourteen million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 830441 1660882 2491323 3321764 4152205 4982646 8304410 9965292 12456615 16608820 20761025 24913230 34048081 41522050 49826460 62283075 68096162 83044100 102144243 124566150 136192324 170240405 204288486 249132300 340480810 408576972 510721215 680961620 851202025 1021442430 1702404050 2042884860 2553606075 3404808100 5107212150 10214424300