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1020141430 = 257113761587
BaseRepresentation
bin111100110011100…
…001111101110110
32122002120112221221
4330303201331312
54042124011210
6245121100554
734165026160
oct7463417566
92562515857
101020141430
114839303a0
1224578775a
1313346caa9
14996b1930
155e85e1da
hex3cce1f76

1020141430 has 128 divisors (see below), whose sum is σ = 2393846784. Its totient is φ = 303782400.

The previous prime is 1020141427. The next prime is 1020141431. The reversal of 1020141430 is 341410201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020141431) 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 63 ways as a sum of consecutive naturals, for example, 1737597 + ... + 1738183.

It is an arithmetic number, because the mean of its divisors is an integer number (18701928).

Almost surely, 21020141430 is an apocalyptic number.

1020141430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020141430 is an abundant number, since it is smaller than the sum of its proper divisors (1373705354).

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

1020141430 is a wasteful number, since it uses less digits than its factorization.

1020141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1020141430 is about 31939.6529411326. The cubic root of 1020141430 is about 1006.6692324589.

Adding to 1020141430 its reverse (341410201), we get a palindrome (1361551631).

The spelling of 1020141430 in words is "one billion, twenty million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 37 55 61 70 74 77 110 122 154 185 259 305 370 385 407 427 518 587 610 671 770 814 854 1174 1295 1342 2035 2135 2257 2590 2849 2935 3355 4070 4109 4270 4514 4697 5698 5870 6457 6710 8218 9394 11285 12914 14245 15799 20545 21719 22570 23485 24827 28490 31598 32285 35807 41090 43438 45199 46970 49654 64570 71614 78995 90398 108595 124135 152033 157990 173789 179035 217190 225995 238909 248270 250649 304066 347578 358070 393877 451990 477818 501298 760165 787754 868945 1194545 1253245 1324859 1520330 1672363 1737890 1969385 2389090 2506490 2649718 2757139 3344726 3938770 5514278 6624295 8361815 9274013 13248590 13785695 14573449 16723630 18548026 27571390 29146898 46370065 72867245 92740130 102014143 145734490 204028286 510070715 1020141430