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241005100400 = 24521553387967
BaseRepresentation
bin1110000001110100000…
…1011111110101110000
3212001002001121121112122
43200131001133311300
512422034301203100
6302414411413412
723261221360451
oct3403501376560
9761061547478
10241005100400
1193234107029
123a860154268
131995a6a62ac
14b943d67128
1564082e8985
hex381d05fd70

241005100400 has 60 divisors (see below), whose sum is σ = 579389083392. Its totient is φ = 96339717120.

The previous prime is 241005100397. The next prime is 241005100409. The reversal of 241005100400 is 4001500142.

241005100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241005100409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427217 + ... + 815183.

Almost surely, 2241005100400 is an apocalyptic number.

241005100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241005100400 is an abundant number, since it is smaller than the sum of its proper divisors (338383982992).

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

241005100400 is a wasteful number, since it uses less digits than its factorization.

241005100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389538 (or 389527 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 241005100400 its reverse (4001500142), we get a palindrome (245006600542).

The spelling of 241005100400 in words is "two hundred forty-one billion, five million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1553 3106 6212 7765 12424 15530 24848 31060 38825 62120 77650 124240 155300 310600 387967 621200 775934 1551868 1939835 3103736 3879670 6207472 7759340 9699175 15518680 19398350 31037360 38796700 77593400 155186800 602512751 1205025502 2410051004 3012563755 4820102008 6025127510 9640204016 12050255020 15062818775 24100510040 30125637550 48201020080 60251275100 120502550200 241005100400