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120343079025 = 34521325932
BaseRepresentation
bin111000000010100000…
…0011010100001110001
3102111121220201211110000
41300011000122201301
53432430312012100
6131141305500213
711460133202541
oct1600500324161
9374556654400
10120343079025
1147045592504
121b3a67a1669
13b46b2b9300
145b78b31321
1531e5173900
hex1c0501a871

120343079025 has 135 divisors (see below), whose sum is σ = 241791219219. Its totient is φ = 59145914880.

The previous prime is 120343078993. The next prime is 120343079057. The reversal of 120343079025 is 520970343021.

The square root of 120343079025 is 346905.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (120343078993) and next prime (120343079057).

It can be written as a sum of positive squares in 13 ways, for example, as 104702074929 + 15641004096 = 323577^2 + 125064^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 120343079025 - 25 = 120343078993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 202939129 + ... + 202939721.

Almost surely, 2120343079025 is an apocalyptic number.

120343079025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120343079025 is the 346905-th square number.

120343079025 is the 173453-rd centered octagonal number.

It is an amenable number.

120343079025 is an abundant number, since it is smaller than the sum of its proper divisors (121448140194).

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

120343079025 is an frugal number, since it uses more digits than its factorization.

120343079025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 120343079025 by its sum of digits (36), we get a square (4332350844900 = 20814302).

The spelling of 120343079025 in words is "one hundred twenty billion, three hundred forty-three million, seventy-nine thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 325 351 405 507 585 593 675 845 975 1053 1521 1755 1779 2025 2535 2925 2965 4225 4563 5265 5337 7605 7709 8775 8895 12675 13689 14825 16011 22815 23127 26325 26685 38025 38545 44475 48033 68445 69381 80055 100217 114075 115635 133425 192725 208143 240165 300651 342225 346905 351649 400275 501085 578175 624429 901953 1040715 1054947 1200825 1503255 1734525 1758245 2505425 2705859 3122145 3164841 4509765 4571437 5203575 5274735 7516275 8117577 8791225 9494523 13529295 13714311 15610725 15824205 22548825 22857185 26373675 28483569 40587885 41142933 47472615 59428681 67646475 68571555 79121025 114285925 123428799 142417845 178286043 202939425 205714665 237363075 297143405 342857775 370286397 534858129 617143995 712089225 891430215 1028573325 1485717025 1604574387 1851431985 2674290645 3085719975 4457151075 4813723161 8022871935 9257159925 13371453225 24068615805 40114359675 120343079025