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421301404103124 = 2231012235232980463
BaseRepresentation
bin101111111001010111110000…
…0100010001111000111010100
32001020201000120020010220102010
41133302233200202033013110
5420210100233422244444
64052011105415344220
7154512010353221016
oct13762574042170724
92036630506126363
10421301404103124
1111226aa16347326
123b30304b982070
13151107237b316c
14760714d7101b6
1533a903a2e02b9
hex17f2be088f1d4

421301404103124 has 96 divisors (see below), whose sum is σ = 999128595677184. Its totient is φ = 138155143363200.

The previous prime is 421301404103123. The next prime is 421301404103141.

It is a happy number.

421301404103124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 421301404103091 and 421301404103100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421301404103123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139864117 + ... + 142844579.

It is an arithmetic number, because the mean of its divisors is an integer number (10407589538304).

Almost surely, 2421301404103124 is an apocalyptic number.

It is an amenable number.

421301404103124 is an abundant number, since it is smaller than the sum of its proper divisors (577827191574060).

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

421301404103124 is a wasteful number, since it uses less digits than its factorization.

421301404103124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981317 (or 2981315 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 42130140 and 4103124, that added together give a palindrome (46233264).

The spelling of 421301404103124 in words is "four hundred twenty-one trillion, three hundred one billion, four hundred four million, one hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 101 202 223 303 404 446 523 606 669 892 1046 1212 1338 1569 2092 2676 3138 6276 22523 45046 52823 67569 90092 105646 116629 135138 158469 211292 233258 270276 316938 349887 466516 633876 699774 1399548 2980463 5960926 8941389 11779529 11921852 17882778 23559058 35338587 35765556 47118116 70677174 141354348 301026763 602053526 664643249 903080289 1204107052 1329286498 1558782149 1806160578 1993929747 2658572996 3117564298 3612321156 3987859494 4676346447 6235128596 7975718988 9352692894 18705385788 67128968149 134257936298 157436997049 201386904447 268515872596 314873994098 347608419227 402773808894 472310991147 629747988196 695216838454 805547617788 944621982294 1042825257681 1390433676908 1889243964588 2085650515362 4171301030724 35108450341927 70216900683854 105325351025781 140433801367708 210650702051562 421301404103124