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241334403100 = 22527271693689
BaseRepresentation
bin1110000011000010100…
…1101100000000011100
3212001221000020220220221
43200300221230000130
512423223101344400
6302511213451124
723302330402600
oct3406051540034
9761830226827
10241334403100
1193392a8501a
123a9324a0aa4
13199b099386b
14b9759a7500
156427194c1a
hex3830a6c01c

241334403100 has 108 divisors (see below), whose sum is σ = 617778115920. Its totient is φ = 81577708800.

The previous prime is 241334403083. The next prime is 241334403109. The reversal of 241334403100 is 1304433142.

It is a super-2 number, since 2×2413344031002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241334403109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1056 + ... + 694744.

It is an arithmetic number, because the mean of its divisors is an integer number (5720167740).

Almost surely, 2241334403100 is an apocalyptic number.

241334403100 is a gapful number since it is divisible by the number (20) 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 241334403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308889057960).

241334403100 is an abundant number, since it is smaller than the sum of its proper divisors (376443712820).

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

241334403100 is a wasteful number, since it uses less digits than its factorization.

241334403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693788 (or 693774 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 241334403100 its reverse (1304433142), we get a palindrome (242638836242).

The spelling of 241334403100 in words is "two hundred forty-one billion, three hundred thirty-four million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 71 98 100 140 142 175 196 245 284 350 355 490 497 700 710 980 994 1225 1420 1775 1988 2450 2485 3479 3550 4900 4970 6958 7100 9940 12425 13916 17395 24850 34790 49700 69580 86975 173950 347900 693689 1387378 2774756 3468445 4855823 6936890 9711646 13873780 17342225 19423292 24279115 33990761 34684450 48558230 49251919 67981522 69368900 97116460 98503838 121395575 135963044 169953805 197007676 242791150 246259595 339907610 344763433 485582300 492519190 679815220 689526866 849769025 985038380 1231297975 1379053732 1699538050 1723817165 2413344031 2462595950 3399076100 3447634330 4826688062 4925191900 6895268660 8619085825 9653376124 12066720155 17238171650 24133440310 34476343300 48266880620 60333600775 120667201550 241334403100