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201014436510525 = 352111229198253753
BaseRepresentation
bin101101101101001001010010…
…000101010011101100111101
3222100201210101200220012111110
4231231021102011103230331
5202321410031221314100
61551304431324312233
760224546061346521
oct5555112205235475
9870653350805443
10201014436510525
115905a81aa7a280
121a665b400a2679
13882177041c331
14378d2174cdd81
151838ca7e10250
hexb6d252153b3d

201014436510525 has 48 divisors (see below), whose sum is σ = 362851950720960. Its totient is φ = 97382242982400.

The previous prime is 201014436510469. The next prime is 201014436510533. The reversal of 201014436510525 is 525015634410102.

It is not a de Polignac number, because 201014436510525 - 211 = 201014436508477 is a prime.

It is a super-3 number, since 3×2010144365105253 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98112952 + ... + 100140801.

It is an arithmetic number, because the mean of its divisors is an integer number (7559415640020).

Almost surely, 2201014436510525 is an apocalyptic number.

201014436510525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201014436510525 is a deficient number, since it is larger than the sum of its proper divisors (161837514210435).

201014436510525 is a wasteful number, since it uses less digits than its factorization.

201014436510525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198255006 (or 198255001 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 201014436510525 in words is "two hundred one trillion, fourteen billion, four hundred thirty-six million, five hundred ten thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1229 3687 6145 13519 18435 30725 40557 67595 92175 202785 337975 1013925 198253753 594761259 991268765 2180791283 2973806295 4956343825 6542373849 10903956415 14869031475 32711869245 54519782075 163559346225 243653862437 730961587311 1218269312185 2680192486807 3654807936555 6091346560925 8040577460421 13400962434035 18274039682775 40202887302105 67004812170175 201014436510525