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13212134522500 = 225413925232
BaseRepresentation
bin1100000001000011000010…
…0101011011111010000100
31201210001211101000211022011
43000100300211123322010
53212431422414210000
644033323143344004
72532355003320124
oct300206045337204
951701741024264
1013212134522500
114234264553291
121594725152004
1374ab8bc7c204
14339683940c84
1517da280a02ba
hexc043095be84

13212134522500 has 135 divisors (see below), whose sum is σ = 29157399482211. Its totient is φ = 5236801092000.

The previous prime is 13212134522467. The next prime is 13212134522527. The reversal of 13212134522500 is 522543121231.

It is a happy number.

The square root of 13212134522500 is 3634850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1035831346564 + 12176303175936 = 1017758^2 + 3489456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25262207239 + ... + 25262207761.

Almost surely, 213212134522500 is an apocalyptic number.

13212134522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13212134522500 is the 3634850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212134522500

13212134522500 is an abundant number, since it is smaller than the sum of its proper divisors (15945264959711).

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

13212134522500 is an frugal number, since it uses more digits than its factorization.

13212134522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 13212134522500 its reverse (522543121231), we get a palindrome (13734677643731).

The spelling of 13212134522500 in words is "thirteen trillion, two hundred twelve billion, one hundred thirty-four million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 139 250 278 500 523 556 625 695 1046 1250 1390 2092 2500 2615 2780 3475 5230 6950 10460 13075 13900 17375 19321 26150 34750 38642 52300 65375 69500 72697 77284 86875 96605 130750 145394 173750 193210 261500 273529 290788 326875 347500 363485 386420 483025 547058 653750 726970 966050 1094116 1307500 1367645 1453940 1817425 1932100 2415125 2735290 3634850 4830250 5470580 6838225 7269700 9087125 9660500 10104883 12075625 13676450 18174250 20209766 24151250 27352900 34191125 36348500 38020531 40419532 45435625 48302500 50524415 68382250 76041062 90871250 101048830 136764500 152082124 170955625 181742500 190102655 202097660 252622075 341911250 380205310 505244150 683822500 760410620 950513275 1010488300 1263110375 1901026550 2526220750 3802053100 4752566375 5052441500 5284853809 6315551875 9505132750 10569707618 12631103750 19010265500 21139415236 23762831875 25262207500 26424269045 47525663750 52848538090 95051327500 105697076180 132121345225 264242690450 528485380900 660606726125 1321213452250 2642426904500 3303033630625 6606067261250 13212134522500