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243102014120 = 23576120836833
BaseRepresentation
bin1110001001101000000…
…0100101101010101000
3212020111012022212101202
43202122000211222220
512440333103422440
6303402435503332
723364203011520
oct3423200455250
9766435285352
10243102014120
119410a827379
123b146457b48
1319c02c53444
14baa264c680
1564cc451615
hex389a025aa8

243102014120 has 128 divisors (see below), whose sum is σ = 635765379840. Its totient is φ = 81931530240.

The previous prime is 243102014081. The next prime is 243102014123. The reversal of 243102014120 is 21410201342.

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

It is a junction number, because it is equal to n+sod(n) for n = 243102014092 and 243102014101.

It is not an unprimeable number, because it can be changed into a prime (243102014123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35574224 + ... + 35581056.

It is an arithmetic number, because the mean of its divisors is an integer number (4966917030).

Almost surely, 2243102014120 is an apocalyptic number.

243102014120 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 243102014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317882689920).

243102014120 is an abundant number, since it is smaller than the sum of its proper divisors (392663365720).

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

243102014120 is a wasteful number, since it uses less digits than its factorization.

243102014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 243102014120 its reverse (21410201342), we get a palindrome (264512215462).

The spelling of 243102014120 in words is "two hundred forty-three billion, one hundred two million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2083 2135 2440 3416 4166 4270 6833 8332 8540 10415 13666 14581 16664 17080 20830 27332 29162 34165 41660 47831 54664 58324 68330 72905 83320 95662 116648 127063 136660 145810 191324 239155 254126 273320 291620 382648 416813 478310 508252 583240 635315 833626 889441 956620 1016504 1270630 1667252 1778882 1913240 2084065 2541260 2917691 3334504 3557764 4168130 4447205 5082520 5835382 7115528 8336260 8894410 11670764 14233139 14588455 16672520 17788820 23341528 28466278 29176910 35577640 56932556 58353820 71165695 99631973 113865112 116707640 142331390 199263946 284662780 398527892 498159865 569325560 797055784 868221479 996319730 1736442958 1992639460 3472885916 3985278920 4341107395 6077550353 6945771832 8682214790 12155100706 17364429580 24310201412 30387751765 34728859160 48620402824 60775503530 121551007060 243102014120