Search a number
-
+
21214211244100 = 2252719283950183
BaseRepresentation
bin1001101001011010100011…
…00001101000000001000100
32210010001120212010121122021
410310231101201220001010
510240033201034302400
6113041401335012524
74316450634221320
oct464552141500104
983101525117567
1021214211244100
116839995215166
12246755850a144
13bab650ba0804
14534ab7d2a980
1526bc6c4d071a
hex134b51868044

21214211244100 has 108 divisors (see below), whose sum is σ = 55525994900544. Its totient is φ = 6890630938560.

The previous prime is 21214211244097. The next prime is 21214211244103. The reversal of 21214211244100 is 144211241212.

It is an interprime number because it is at equal distance from previous prime (21214211244097) and next prime (21214211244103).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21214211244103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41722392 + ... + 42227791.

Almost surely, 221214211244100 is an apocalyptic number.

21214211244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214211244100 is an abundant number, since it is smaller than the sum of its proper divisors (34311783656444).

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

21214211244100 is a wasteful number, since it uses less digits than its factorization.

21214211244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83950242 (or 83950216 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 21214211244100 its reverse (144211241212), we get a palindrome (21358422485312).

The spelling of 21214211244100 in words is "twenty-one trillion, two hundred fourteen billion, two hundred eleven million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 361 380 475 532 665 700 722 950 1330 1444 1805 1900 2527 2660 3325 3610 5054 6650 7220 9025 10108 12635 13300 18050 25270 36100 50540 63175 126350 252700 83950183 167900366 335800732 419750915 587651281 839501830 1175302562 1595053477 1679003660 2098754575 2350605124 2938256405 3190106954 4197509150 5876512810 6380213908 7975267385 8395018300 11165374339 11753025620 14691282025 15950534770 22330748678 29382564050 30306016063 31901069540 39876336925 44661497356 55826871695 58765128100 60612032126 79752673850 111653743390 121224064252 151530080315 159505347700 212142112441 223307486780 279134358475 303060160630 424284224882 558268716950 606120321260 757650401575 848568449764 1060710562205 1116537433900 1515300803150 2121421124410 3030601606300 4242842248820 5303552811025 10607105622050 21214211244100