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421300003124 = 2271113128981629
BaseRepresentation
bin1100010000101110110…
…11111110000100110100
31111021110010021122021102
412020113123332010310
523400310300044444
6521313105105232
742303130640330
oct6102733760464
91437403248242
10421300003124
11152743960a70
1269798628218
13309614524a0
1416568daa7c0
15ae5b85584e
hex62176fe134

421300003124 has 96 divisors (see below), whose sum is σ = 990687801600. Its totient is φ = 151397084160.

The previous prime is 421300003123. The next prime is 421300003141.

421300003124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 421300003096 and 421300003105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421300003123) 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, 5120342 + ... + 5201970.

It is an arithmetic number, because the mean of its divisors is an integer number (10319664600).

Almost surely, 2421300003124 is an apocalyptic number.

421300003124 is a gapful number since it is divisible by the number (44) 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 421300003124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495343900800).

421300003124 is an abundant number, since it is smaller than the sum of its proper divisors (569387798476).

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

421300003124 is a wasteful number, since it uses less digits than its factorization.

421300003124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82953 (or 82951 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 42130000 and 3124, that added together give a palindrome (42133124).

The spelling of 421300003124 in words is "four hundred twenty-one billion, three hundred million, three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1289 2002 2578 4004 5156 9023 14179 16757 18046 28358 33514 36092 56716 67028 81629 99253 117299 163258 184327 198506 234598 326516 368654 397012 469196 571403 737308 897919 1061177 1142806 1290289 1795838 2122354 2285612 2580578 3591676 4244708 5161156 6285433 7428239 11672947 12570866 14856478 23345894 25141732 29712956 46691788 81710629 105219781 163421258 210439562 326842516 420879124 736538467 1157417591 1367857153 1473076934 2314835182 2735714306 2946153868 4629670364 5471428612 8101923137 9575000071 15046428683 16203846274 19150000142 30092857366 32407692548 38300000284 60185714732 105325000781 210650001562 421300003124