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201341234424 = 233112137350497
BaseRepresentation
bin1011101110000011011…
…1110110110011111000
3201020200211001110020110
42323200313312303320
511244321324000144
6232254521224320
720355265153311
oct2734067666370
9636624043213
10201341234424
117842a972500
12330309320a0
1315ca9163805
149a60297608
1553860ac0b9
hex2ee0df6cf8

201341234424 has 96 divisors (see below), whose sum is σ = 553686330960. Its totient is φ = 60966850560.

The previous prime is 201341234389. The next prime is 201341234443. The reversal of 201341234424 is 424432143102.

It is a super-2 number, since 2×2013412344242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201341234391 and 201341234400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3961944 + ... + 4012440.

Almost surely, 2201341234424 is an apocalyptic number.

201341234424 is a gapful number since it is divisible by the number (24) 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 201341234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276843165480).

201341234424 is an abundant number, since it is smaller than the sum of its proper divisors (352345096536).

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

201341234424 is a wasteful number, since it uses less digits than its factorization.

201341234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51901 (or 51886 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 201341234424 its reverse (424432143102), we get a palindrome (625773377526).

The spelling of 201341234424 in words is "two hundred one billion, three hundred forty-one million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1373 1452 2746 2904 4119 5492 8238 10984 15103 16476 30206 32952 45309 50497 60412 90618 100994 120824 151491 166133 181236 201988 302982 332266 362472 403976 498399 555467 605964 664532 996798 1110934 1211928 1329064 1666401 1993596 2221868 3332802 3987192 4443736 6110137 6665604 12220274 13331208 18330411 24440548 36660822 48881096 69332381 73321644 138664762 146643288 207997143 277329524 415994286 554659048 762656191 831988572 1525312382 1663977144 2287968573 3050624764 4575937146 6101249528 8389218101 9151874292 16778436202 18303748584 25167654303 33556872404 50335308606 67113744808 100670617212 201341234424