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42300201120 = 2535611444679
BaseRepresentation
bin100111011001010010…
…011101100010100000
311001011222021212020120
4213121102131202200
51143112322413440
631233224040240
73025144530342
oct473122354240
9131158255216
1042300201120
1116a373a7201
128246303080
133cb1798108
142093c8d292
1511788e7dd0
hex9d949d8a0

42300201120 has 96 divisors (see below), whose sum is σ = 135430081920. Its totient is φ = 11095127040.

The previous prime is 42300201107. The next prime is 42300201121. The reversal of 42300201120 is 2110200324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42300201120.

It is not an unprimeable number, because it can be changed into a prime (42300201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693060 + ... + 751619.

It is an arithmetic number, because the mean of its divisors is an integer number (1410730020).

Almost surely, 242300201120 is an apocalyptic number.

42300201120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42300201120 is an abundant number, since it is smaller than the sum of its proper divisors (93129880800).

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

42300201120 is a wasteful number, since it uses less digits than its factorization.

42300201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444758 (or 1444750 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 42300201120 its reverse (2110200324), we get a palindrome (44410401444).

The spelling of 42300201120 in words is "forty-two billion, three hundred million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14640 29280 1444679 2889358 4334037 5778716 7223395 8668074 11557432 14446790 17336148 21670185 23114864 28893580 34672296 43340370 46229728 57787160 69344592 86680740 88125419 115574320 138689184 173361480 176250838 231148640 264376257 346722960 352501676 440627095 528752514 693445920 705003352 881254190 1057505028 1321881285 1410006704 1762508380 2115010056 2643762570 2820013408 3525016760 4230020112 5287525140 7050033520 8460040224 10575050280 14100067040 21150100560 42300201120