Search a number
-
+
10213300000224 = 2532165721401839
BaseRepresentation
bin1001010010011111100000…
…0111100101010111100000
31100011101022102210221201200
42110213320013211113200
52314313314300001344
633415531504201200
72102613044416206
oct224477007452740
940141272727650
1010213300000224
113288488654242
12118b4a5609200
13591157a472c9
1427447d74d076
1512aa10d28069
hex949f81e55e0

10213300000224 has 72 divisors (see below), whose sum is σ = 29061601339680. Its totient is φ = 3402378597888.

The previous prime is 10213300000219. The next prime is 10213300000231. The reversal of 10213300000224 is 42200000331201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×102133000002242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10213300000197 and 10213300000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10223704 + ... + 11178135.

It is an arithmetic number, because the mean of its divisors is an integer number (403633351940).

Almost surely, 210213300000224 is an apocalyptic number.

It is an amenable number.

10213300000224 is an abundant number, since it is smaller than the sum of its proper divisors (18848301339456).

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

10213300000224 is a wasteful number, since it uses less digits than its factorization.

10213300000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21403512 (or 21403501 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10213300000224 its reverse (42200000331201), we get a palindrome (52413300331425).

The spelling of 10213300000224 in words is "ten trillion, two hundred thirteen billion, three hundred million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1657 3314 4971 6628 9942 13256 14913 19884 26512 29826 39768 53024 59652 79536 119304 159072 238608 477216 21401839 42803678 64205517 85607356 128411034 171214712 192616551 256822068 342429424 385233102 513644136 684858848 770466204 1027288272 1540932408 2054576544 3081864816 6163729632 35462847223 70925694446 106388541669 141851388892 212777083338 283702777784 319165625007 425554166676 567405555568 638331250014 851108333352 1134811111136 1276662500028 1702216666704 2553325000056 3404433333408 5106650000112 10213300000224