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1014214110 = 2357131919553
BaseRepresentation
bin111100011100111…
…010110111011110
32121200102102012120
4330130322313132
54034114322420
6244350043410
734063451310
oct7434726736
92550372176
101014214110
11480552088
122437a9566
13132175bc0
14989ab7b0
155e08cd40
hex3c73adde

1014214110 has 128 divisors (see below), whose sum is σ = 3153669120. Its totient is φ = 202715136.

The previous prime is 1014214109. The next prime is 1014214147. The reversal of 1014214110 is 114124101.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1014214110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42094 + ... + 61646.

It is an arithmetic number, because the mean of its divisors is an integer number (24638040).

Almost surely, 21014214110 is an apocalyptic number.

1014214110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014214110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576834560).

1014214110 is an abundant number, since it is smaller than the sum of its proper divisors (2139455010).

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

1014214110 is a wasteful number, since it uses less digits than its factorization.

1014214110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19602.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1014214110 is about 31846.7284034012. The cubic root of 1014214110 is about 1004.7157632862.

Adding to 1014214110 its reverse (114124101), we get a palindrome (1128338211).

Subtracting from 1014214110 its reverse (114124101), we obtain a palindrome (900090009).

The spelling of 1014214110 in words is "one billion, fourteen million, two hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1729 1995 2470 2730 3458 3705 3990 5187 7410 8645 10374 17290 19553 25935 39106 51870 58659 97765 117318 136871 195530 254189 273742 293295 371507 410613 508378 586590 684355 743014 762567 821226 1114521 1270945 1368710 1525134 1779323 1857535 2053065 2229042 2541890 2600549 3558646 3715070 3812835 4106130 4829591 5201098 5337969 5572605 7625670 7801647 8896615 9659182 10675938 11145210 13002745 14488773 15603294 17793230 24147955 26005490 26689845 28977546 33807137 39008235 48295910 53379690 67614274 72443865 78016470 101421411 144887730 169035685 202842822 338071370 507107055 1014214110