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201125025134140 = 225172367373817621
BaseRepresentation
bin101101101110110000010001…
…101011011011011000111100
3222101010100211210220100200011
4231232300101223123120330
5202330213022413243030
61551431321102313004
760235542421215022
oct5556602153333074
9871110753810604
10201125025134140
11590a270a407a88
121a683463b88764
13882c015860923
143794708938712
15183bacba29b2a
hexb6ec11adb63c

201125025134140 has 96 divisors (see below), whose sum is σ = 466720598381184. Its totient is φ = 72414815109120.

The previous prime is 201125025134129. The next prime is 201125025134161. The reversal of 201125025134140 is 41431520521102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50774530 + ... + 54592150.

It is an arithmetic number, because the mean of its divisors is an integer number (4861672899804).

Almost surely, 2201125025134140 is an apocalyptic number.

201125025134140 is a gapful number since it is divisible by the number (20) 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 201125025134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233360299190592).

201125025134140 is an abundant number, since it is smaller than the sum of its proper divisors (265595573247044).

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

201125025134140 is a wasteful number, since it uses less digits than its factorization.

201125025134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824407 (or 3824405 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 201125025134140 its reverse (41431520521102), we get a palindrome (242556545655242).

The spelling of 201125025134140 in words is "two hundred one trillion, one hundred twenty-five billion, twenty-five million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 6737 7820 13474 26948 33685 67370 114529 134740 154951 229058 309902 458116 572645 619804 774755 1145290 1549510 2290580 2634167 3099020 3817621 5268334 7635242 10536668 13170835 15270484 19088105 26341670 38176210 52683340 64899557 76352420 87805283 129799114 175610566 259598228 324497785 351221132 439026415 648995570 878052830 1297991140 1492689811 1756105660 2985379622 5970759244 7463449055 14926898110 25719312677 29853796220 51438625354 102877250708 128596563385 257193126770 437228315509 514386253540 591544191571 874456631018 1183088383142 1748913262036 2186141577545 2366176766284 2957720957855 4372283155090 5915441915710 8744566310180 10056251256707 11830883831420 20112502513414 40225005026828 50281256283535 100562512567070 201125025134140