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1014210200 = 235283107571
BaseRepresentation
bin111100011100111…
…001111010011000
32121200102012211202
4330130321322120
54034114211300
6244350013332
734063434023
oct7434717230
92550365752
101014210200
1148054a153
122437a7248
131321741a3
14989aa1ba
155e08bad5
hex3c739e98

1014210200 has 96 divisors (see below), whose sum is σ = 2412970560. Its totient is φ = 396355200.

The previous prime is 1014210187. The next prime is 1014210233. The reversal of 1014210200 is 20124101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1775915 + ... + 1776485.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110).

Almost surely, 21014210200 is an apocalyptic number.

1014210200 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 1014210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206485280).

1014210200 is an abundant number, since it is smaller than the sum of its proper divisors (1398760360).

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

1014210200 is a wasteful number, since it uses less digits than its factorization.

1014210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1014210200 is about 31846.6670155607. The cubic root of 1014210200 is about 1004.7144721573.

Adding to 1014210200 its reverse (20124101), we get a palindrome (1034334301).

The spelling of 1014210200 in words is "one billion, fourteen million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 107 166 200 214 332 415 428 535 571 664 830 856 1070 1142 1660 2075 2140 2284 2675 2855 3320 4150 4280 4568 5350 5710 8300 8881 10700 11420 14275 16600 17762 21400 22840 28550 35524 44405 47393 57100 61097 71048 88810 94786 114200 122194 177620 189572 222025 236965 244388 305485 355240 379144 444050 473930 488776 610970 888100 947860 1184825 1221940 1527425 1776200 1895720 2369650 2443880 3054850 4739300 5071051 6109700 9478600 10142102 12219400 20284204 25355255 40568408 50710510 101421020 126776275 202842040 253552550 507105100 1014210200