Search a number
-
+
421203302124 = 2231110161351539
BaseRepresentation
bin1100010000100011010…
…11000101011011101100
31111021012101022201102220
412020101223011123230
523400111021131444
6521255332315340
742300544665243
oct6102153053354
91437171281386
10421203302124
111526a4313090
1269770172b50
13309473c5467
141655a1d795a
15ae53103619
hex6211ac56ec

421203302124 has 96 divisors (see below), whose sum is σ = 1084556632320. Its totient is φ = 126165024000.

The previous prime is 421203302123. The next prime is 421203302159.

It is a happy number.

421203302124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4212033021242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421203302094 and 421203302103.

It is not an unprimeable number, because it can be changed into a prime (421203302123) 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, 8146747 + ... + 8198285.

It is an arithmetic number, because the mean of its divisors is an integer number (11297464920).

Almost surely, 2421203302124 is an apocalyptic number.

421203302124 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 421203302124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542278316160).

421203302124 is an abundant number, since it is smaller than the sum of its proper divisors (663353330196).

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

421203302124 is a wasteful number, since it uses less digits than its factorization.

421203302124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52271 (or 52269 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 421203 and 302124, that added together give a palindrome (723327).

The spelling of 421203302124 in words is "four hundred twenty-one billion, two hundred three million, three hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 613 1111 1212 1226 1839 2222 2452 3333 3678 4444 6666 6743 7356 13332 13486 20229 26972 40458 51539 61913 80916 103078 123826 154617 185739 206156 247652 309234 371478 566929 618468 681043 742956 1133858 1362086 1700787 2043129 2267716 2724172 3401574 4086258 5205439 6803148 8172516 10410878 15616317 20821756 31232634 31593407 57259829 62465268 63186814 94780221 114519658 126373628 171779487 189560442 229039316 343558974 347527477 379120884 687117948 695054954 1042582431 1390109908 2085164862 3190934107 4170329724 6381868214 9572802321 12763736428 19145604642 35100275177 38291209284 70200550354 105300825531 140401100708 210601651062 421203302124