Search a number
-
+
301821429012 = 223853118724841
BaseRepresentation
bin1000110010001011111…
…01011000010100010100
31001212001110021012121220
410121011331120110110
514421112241212022
6350353240410340
730543262550115
oct4310575302424
91055043235556
10301821429012
11107002367934
124a5b34769b0
13226002b265c
1410872dd620c
157cb754b85c
hex4645f58514

301821429012 has 48 divisors (see below), whose sum is σ = 705698021952. Its totient is φ = 100400497920.

The previous prime is 301821429001. The next prime is 301821429031. The reversal of 301821429012 is 210924128103.

It is a super-3 number, since 3×3018214290123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12137712 + ... + 12162552.

It is an arithmetic number, because the mean of its divisors is an integer number (14702042124).

Almost surely, 2301821429012 is an apocalyptic number.

It is an amenable number.

301821429012 is an abundant number, since it is smaller than the sum of its proper divisors (403876592940).

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

301821429012 is a wasteful number, since it uses less digits than its factorization.

301821429012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26888 (or 26886 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 301821429012 in words is "three hundred one billion, eight hundred twenty-one million, four hundred twenty-nine thousand, twelve".

Divisors: 1 2 3 4 6 12 853 1187 1706 2374 2559 3412 3561 4748 5118 7122 10236 14244 24841 49682 74523 99364 149046 298092 1012511 2025022 3037533 4050044 6075066 12150132 21189373 29486267 42378746 58972534 63568119 84757492 88458801 117945068 127136238 176917602 254272476 353835204 25151785751 50303571502 75455357253 100607143004 150910714506 301821429012