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1010043405 = 335741131199
BaseRepresentation
bin111100001101000…
…000101000001101
32121101120112002000
4330031000220031
54032032342110
6244120422513
734013140650
oct7415005015
92541515060
101010043405
11479163618
12242317a39
13131345727
1498203897
155da171c0
hex3c340a0d

1010043405 has 128 divisors (see below), whose sum is σ = 2128896000. Its totient is φ = 444787200.

The previous prime is 1010043341. The next prime is 1010043409. The reversal of 1010043405 is 5043400101.

It is a happy number.

It is not a de Polignac number, because 1010043405 - 26 = 1010043341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010043409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5075496 + ... + 5075694.

It is an arithmetic number, because the mean of its divisors is an integer number (16632000).

Almost surely, 21010043405 is an apocalyptic number.

1010043405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010043405 is an abundant number, since it is smaller than the sum of its proper divisors (1118852595).

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

1010043405 is a wasteful number, since it uses less digits than its factorization.

1010043405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1010043405 is about 31781.1800441708. The cubic root of 1010043405 is about 1003.3366560107.

Adding to 1010043405 its reverse (5043400101), we get a palindrome (6053443506).

The spelling of 1010043405 in words is "one billion, ten million, forty-three thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 105 123 131 135 189 199 205 287 315 369 393 597 615 655 861 917 945 995 1107 1179 1393 1435 1791 1845 1965 2583 2751 2985 3537 4179 4305 4585 5371 5373 5535 5895 6965 7749 8159 8253 8955 12537 12915 13755 16113 17685 20895 24477 24759 26069 26855 26865 37597 37611 38745 40795 41265 48339 57113 62685 73431 78207 80565 112791 122385 123795 130345 145017 171339 182483 187985 188055 220293 234621 241695 285565 338373 367155 391035 514017 547449 563955 703863 725085 856695 912415 1015119 1068829 1101465 1173105 1542051 1642347 1691865 2570085 2737245 3206487 3519315 4927041 5075595 5344145 7481803 7710255 8211735 9619461 16032435 22445409 24635205 28858383 37409015 48097305 67336227 112227045 144291915 202008681 336681135 1010043405