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21314121400 = 23521113745249
BaseRepresentation
bin10011110110011010…
…111010111010111000
32001000102021112220201
4103312122322322320
5322122403341100
613442551331544
71353120020425
oct236632727270
961012245821
1021314121400
1190482a1970
12416a080bb4
132018a18370
141062a40d4c
1584b2ea36a
hex4f66baeb8

21314121400 has 96 divisors (see below), whose sum is σ = 58218930000. Its totient is φ = 7154380800.

The previous prime is 21314121377. The next prime is 21314121419. The reversal of 21314121400 is 412141312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344025 + ... + 401224.

Almost surely, 221314121400 is an apocalyptic number.

21314121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314121400 is an abundant number, since it is smaller than the sum of its proper divisors (36904808600).

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

21314121400 is a wasteful number, since it uses less digits than its factorization.

21314121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745289 (or 745280 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21314121400 its reverse (412141312), we get a palindrome (21726262712).

The spelling of 21314121400 in words is "twenty-one billion, three hundred fourteen million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 2200 2600 2860 3575 5720 7150 14300 28600 745249 1490498 2980996 3726245 5961992 7452490 8197739 9688237 14904980 16395478 18631225 19376474 29809960 32790956 37262450 38752948 40988695 48441185 65581912 74524900 77505896 81977390 96882370 106570607 149049800 163954780 193764740 204943475 213141214 242205925 327909560 387529480 409886950 426282428 484411850 532853035 819773900 852564856 968823700 1065706070 1639547800 1937647400 2131412140 2664265175 4262824280 5328530350 10657060700 21314121400