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242301210110300 = 225211931923637067
BaseRepresentation
bin110111000101111100100101…
…100011101010100101011100
31011202220202202221100220212002
4313011330211203222211130
5223224330334242012200
62215155350024501432
7102015453602516315
oct6705744543524534
91152822687326762
10242301210110300
1170228403367260
122321372101a878
13a527ba18408b3
1443b96266d360c
151d02c257cdbd5
hexdc5f258ea95c

242301210110300 has 72 divisors (see below), whose sum is σ = 573654621671040. Its totient is φ = 88100072395200.

The previous prime is 242301210110171. The next prime is 242301210110303. The reversal of 242301210110300 is 3011012103242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242301210110303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567634 + ... + 22069433.

Almost surely, 2242301210110300 is an apocalyptic number.

242301210110300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242301210110300 is an abundant number, since it is smaller than the sum of its proper divisors (331353411560740).

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

242301210110300 is a wasteful number, since it uses less digits than its factorization.

242301210110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23646411 (or 23646404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 242301210110300 its reverse (3011012103242), we get a palindrome (245312222213542).

The spelling of 242301210110300 in words is "two hundred forty-two trillion, three hundred one billion, two hundred ten million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9319 18638 37276 46595 93190 102509 186380 205018 232975 410036 465950 512545 931900 1025090 2050180 2562725 5125450 10250900 23637067 47274134 94548268 118185335 236370670 260007737 472741340 520015474 590926675 1040030948 1181853350 1300038685 2363706700 2600077370 5200154740 6500193425 13000386850 26000773700 220273827373 440547654746 881095309492 1101369136865 2202738273730 2423012101103 4405476547460 4846024202206 5506845684325 9692048404412 11013691368650 12115060505515 22027382737300 24230121011030 48460242022060 60575302527575 121150605055150 242301210110300