Search a number
-
+
21225463142202 = 2341122347079187
BaseRepresentation
bin1001101001101111100000…
…01100001101011100111010
32210011010122000120021010000
410310313300030031130322
510240224222031022302
6113050502042133430
74320326522613054
oct464676014153472
983133560507100
1021225463142202
116843739662800
1224697787b1276
13bac725053797
1453546444c8d4
1526c1ca22b31c
hex134df030d73a

21225463142202 has 120 divisors (see below), whose sum is σ = 54550466818848. Its totient is φ = 6152308026480.

The previous prime is 21225463142141. The next prime is 21225463142269. The reversal of 21225463142202 is 20224136452212.

21225463142202 is a `hidden beast` number, since 2 + 1 + 2 + 254 + 63 + 142 + 202 = 666.

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 59 ways as a sum of consecutive naturals, for example, 23088748 + ... + 23990439.

Almost surely, 221225463142202 is an apocalyptic number.

21225463142202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21225463142202 is an abundant number, since it is smaller than the sum of its proper divisors (33325003676646).

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

21225463142202 is a wasteful number, since it uses less digits than its factorization.

21225463142202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47079246 (or 47079226 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 21225463142202 its reverse (20224136452212), we get a palindrome (41449599594414).

The spelling of 21225463142202 in words is "twenty-one trillion, two hundred twenty-five billion, four hundred sixty-three million, one hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 121 138 162 198 207 242 253 297 363 414 506 594 621 726 759 891 1089 1242 1518 1782 1863 2178 2277 2783 3267 3726 4554 5566 6534 6831 8349 9801 13662 16698 19602 20493 25047 40986 50094 75141 150282 225423 450846 47079187 94158374 141237561 282475122 423712683 517871057 847425366 1035742114 1082821301 1271138049 1553613171 2165642602 2542276098 3107226342 3248463903 3813414147 4660839513 5696581627 6496927806 7626828294 9321679026 9745391709 11393163254 11911034311 13982518539 17089744881 19490783418 23822068622 27965037078 29236175127 34179489762 35733102933 41947555617 51269234643 58472350254 71466205866 83895111234 87708525381 102538469286 107199308799 131021377421 153807703929 175417050762 214398617598 262042754842 307615407858 321597926397 393064132263 461423111787 643195852794 786128264526 922846223574 964793779191 1179192396789 1929587558382 2358384793578 3537577190367 7075154380734 10612731571101 21225463142202