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21514245253100 = 2252417096973939
BaseRepresentation
bin1001110010001001011001…
…11100100010011111101100
32211011202000202001110221222
410321010230330202133230
510304442133241044400
6113431301405042512
74350232024220405
oct471045474423754
984152022043858
1021514245253100
11694515a62a976
1224b5731256438
13c00a27a79092
1454541b7a29ac
1527497cb5b185
hex13912cf227ec

21514245253100 has 72 divisors (see below), whose sum is σ = 47825913685200. Its totient is φ = 8395571174400.

The previous prime is 21514245253087. The next prime is 21514245253177. The reversal of 21514245253100 is 135254241512.

It is a super-2 number, since 2×215142452531002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290935931 + ... + 291009869.

Almost surely, 221514245253100 is an apocalyptic number.

21514245253100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21514245253100 is an abundant number, since it is smaller than the sum of its proper divisors (26311668432100).

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

21514245253100 is a wasteful number, since it uses less digits than its factorization.

21514245253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144963 (or 144956 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 21514245253100 its reverse (135254241512), we get a palindrome (21649499494612).

The spelling of 21514245253100 in words is "twenty-one trillion, five hundred fourteen billion, two hundred forty-five million, two hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 70969 73939 141938 147878 283876 295756 354845 369695 709690 739390 1419380 1478780 1774225 1848475 2909729 3031499 3548450 3696950 5819458 6062998 7096900 7393900 11638916 12125996 14548645 15157495 29097290 30314990 58194580 60629980 72743225 75787475 145486450 151574950 290972900 303149900 5247376891 10494753782 20989507564 26236884455 52473768910 104947537820 131184422275 215142452531 262368844550 430284905062 524737689100 860569810124 1075712262655 2151424525310 4302849050620 5378561313275 10757122626550 21514245253100