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300120031232 = 21476142899
BaseRepresentation
bin1000101111000001000…
…11000100000000000000
31001200122212210020122022
410113200203010000000
514404121211444412
6345512341501012
730453153113540
oct4274043040000
91050585706568
10300120031232
11106309a2a56a
124a1b9711768
13223bb966ac8
1410751069320
157c17ebda72
hex45e08c4000

300120031232 has 120 divisors (see below), whose sum is σ = 697229332800. Its totient is φ = 126511349760.

The previous prime is 300120031231. The next prime is 300120031241. The reversal of 300120031232 is 232130021003.

It is a self number, because there is not a number n which added to its sum of digits gives 300120031232.

It is not an unprimeable number, because it can be changed into a prime (300120031231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6974519 + ... + 7017417.

It is an arithmetic number, because the mean of its divisors is an integer number (5810244440).

Almost surely, 2300120031232 is an apocalyptic number.

300120031232 is a gapful number since it is divisible by the number (32) 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 300120031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348614666400).

300120031232 is an abundant number, since it is smaller than the sum of its proper divisors (397109301568).

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

300120031232 is an frugal number, since it uses more digits than its factorization.

300120031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42995 (or 42969 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 300120031232 its reverse (232130021003), we get a palindrome (532250052235).

The spelling of 300120031232 in words is "three hundred billion, one hundred twenty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 512 854 896 976 1024 1708 1792 1952 2048 3416 3584 3904 4096 6832 7168 7808 8192 13664 14336 15616 16384 27328 28672 31232 42899 54656 57344 62464 85798 109312 114688 124928 171596 218624 249856 300293 343192 437248 499712 600586 686384 874496 999424 1201172 1372768 1748992 2402344 2616839 2745536 3497984 4804688 5233678 5491072 6995968 9609376 10467356 10982144 18317873 19218752 20934712 21964288 36635746 38437504 41869424 43928576 73271492 76875008 83738848 87857152 146542984 153750016 167477696 175714304 293085968 307500032 334955392 351428608 586171936 615000064 669910784 702857216 1172343872 1230000128 1339821568 2344687744 2460000256 2679643136 4689375488 4920000512 5359286272 9378750976 10718572544 18757501952 21437145088 37515003904 42874290176 75030007808 150060015616 300120031232