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300400121120 = 255111710040111
BaseRepresentation
bin1000101111100010011…
…11100001010100100000
31001201101101211021201212
410113301033201110200
514410204412333440
6350000225045252
730463123620251
oct4276117412440
91051341737655
10300400121120
11106443045210
124a277486828
13224349b3378
141077a338b28
157c32898465
hex45f13e1520

300400121120 has 96 divisors (see below), whose sum is σ = 819755064576. Its totient is φ = 102810726400.

The previous prime is 300400121111. The next prime is 300400121179. The reversal of 300400121120 is 21121004003.

It is a junction number, because it is equal to n+sod(n) for n = 300400121095 and 300400121104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4990136 + ... + 5049975.

It is an arithmetic number, because the mean of its divisors is an integer number (8539115256).

Almost surely, 2300400121120 is an apocalyptic number.

It is an amenable number.

300400121120 is an abundant number, since it is smaller than the sum of its proper divisors (519354943456).

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

300400121120 is a wasteful number, since it uses less digits than its factorization.

300400121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10040154 (or 10040146 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 300400121120 its reverse (21121004003), we get a palindrome (321521125123).

The spelling of 300400121120 in words is "three hundred billion, four hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 10040111 20080222 40160444 50200555 80320888 100401110 110441221 160641776 170681887 200802220 220882442 321283552 341363774 401604440 441764884 552206105 682727548 803208880 853409435 883529768 1104412210 1365455096 1606417760 1706818870 1767059536 1877500757 2208824420 2730910192 3413637740 3534119072 3755001514 4417648840 5461820384 6827275480 7510003028 8835297680 9387503785 13654550960 15020006056 17670595360 18775007570 27309101920 30040012112 37550015140 60080024224 75100030280 150200060560 300400121120