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21214210025320 = 235131371408721139
BaseRepresentation
bin1001101001011010100010…
…11100111110011101101000
32210010001120202211200210021
410310231101130332131220
510240033200231302240
6113041401252530224
74316450620654114
oct464552134763550
983101522750707
1021214210025320
116839994562504
122467558020974
13bab650864b40
14534ab7ad0744
1526bc6c33e54a
hex134b5173e768

21214210025320 has 128 divisors (see below), whose sum is σ = 51784997241600. Its totient is φ = 7774844553216.

The previous prime is 21214210025311. The next prime is 21214210025377. The reversal of 21214210025320 is 2352001241212.

It is a super-2 number, since 2×212142100253202 (a number of 27 digits) contains 22 as substring.

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, 1003547311 + ... + 1003568449.

It is an arithmetic number, because the mean of its divisors is an integer number (404570290950).

Almost surely, 221214210025320 is an apocalyptic number.

21214210025320 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 21214210025320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25892498620800).

21214210025320 is an abundant number, since it is smaller than the sum of its proper divisors (30570787216280).

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

21214210025320 is a wasteful number, since it uses less digits than its factorization.

21214210025320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35387 (or 35383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21214210025320 its reverse (2352001241212), we get a palindrome (23566211266532).

The spelling of 21214210025320 in words is "twenty-one trillion, two hundred fourteen billion, two hundred ten million, twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 260 274 520 548 685 1096 1370 1781 2740 3562 5480 7124 8905 14087 14248 17810 21139 28174 35620 42278 56348 70435 71240 84556 105695 112696 140870 169112 183131 211390 274807 281740 366262 422780 549614 563480 732524 845560 915655 1099228 1374035 1465048 1831310 1929919 2198456 2748070 2896043 3662620 3859838 5496140 5792086 7325240 7719676 9649595 10992280 11584172 14480215 15439352 19299190 23168344 25088947 28960430 37648559 38598380 50177894 57920860 75297118 77196760 100355788 115841720 125444735 150594236 188242795 200711576 250889470 297785093 301188472 376485590 501778940 595570186 752971180 1003557880 1191140372 1488925465 1505942360 2382280744 2977850930 3871206209 5955701860 7742412418 11911403720 15484824836 19356031045 30969649672 38712062090 40796557741 77424124180 81593115482 154848248360 163186230964 203982788705 326372461928 407965577410 530355250633 815931154820 1060710501266 1631862309640 2121421002532 2651776253165 4242842005064 5303552506330 10607105012660 21214210025320