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2301033325120 = 26569929102829
BaseRepresentation
bin100001011111000000010…
…001100010001001000000
322010222100222011020021221
4201133000101202021000
5300200004012400440
64521025145524424
7325146515356165
oct41370021421100
98128328136257
102301033325120
11807954362592
12311b574a3714
13138ca949a75a
147d528d3606c
153ecc6251d4a
hex217c0462240

2301033325120 has 56 divisors (see below), whose sum is σ = 5479467247800. Its totient is φ = 920391217152.

The previous prime is 2301033325103. The next prime is 2301033325121. The reversal of 2301033325120 is 215233301032.

It can be written as a sum of positive squares in 4 ways, for example, as 70407438336 + 2230625886784 = 265344^2 + 1493528^2 .

It is not an unprimeable number, because it can be changed into a prime (2301033325121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22325866 + ... + 22428694.

It is an arithmetic number, because the mean of its divisors is an integer number (97847629425).

Almost surely, 22301033325120 is an apocalyptic number.

2301033325120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301033325120 is an abundant number, since it is smaller than the sum of its proper divisors (3178433922680).

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

2301033325120 is a wasteful number, since it uses less digits than its factorization.

2301033325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172775 (or 172765 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 2301033325120 its reverse (215233301032), we get a palindrome (2516266626152).

The spelling of 2301033325120 in words is "two trillion, three hundred one billion, thirty-three million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 69929 102829 139858 205658 279716 349645 411316 514145 559432 699290 822632 1028290 1118864 1398580 1645264 2056580 2237728 2797160 3290528 4113160 4475456 5594320 6581056 8226320 11188640 16452640 22377280 32905280 7190729141 14381458282 28762916564 35953645705 57525833128 71907291410 115051666256 143814582820 230103332512 287629165640 460206665024 575258331280 1150516662560 2301033325120