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21331130152164 = 22371739193811627
BaseRepresentation
bin1001101100110100010100…
…11011110111010011100100
32210112020101010200112120120
410312122022123313103210
510243442123304332124
6113211215205001540
74331060201436360
oct466321233672344
983466333615516
1021331130152164
116884532962308
1224861483b32b0
13bb9694950251
1453a609d9c2a0
1526ed11c24d79
hex13668a6f74e4

21331130152164 has 96 divisors (see below), whose sum is σ = 60244457656320. Its totient is φ = 5734637056512.

The previous prime is 21331130152159. The next prime is 21331130152193. The reversal of 21331130152164 is 46125103113312.

It is a super-2 number, since 2×213311301521642 (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, 3690519 + ... + 7502145.

It is an arithmetic number, because the mean of its divisors is an integer number (627546433920).

Almost surely, 221331130152164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21331130152164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30122228828160).

21331130152164 is an abundant number, since it is smaller than the sum of its proper divisors (38913327504156).

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

21331130152164 is a wasteful number, since it uses less digits than its factorization.

21331130152164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815577 (or 3815575 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 21331130152164 its reverse (46125103113312), we get a palindrome (67456233265476).

The spelling of 21331130152164 in words is "twenty-one trillion, three hundred thirty-one billion, one hundred thirty million, one hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 3919 7838 11757 15676 23514 27433 47028 54866 66623 82299 109732 133246 164598 199869 266492 329196 399738 466361 799476 932722 1399083 1865444 2798166 3811627 5596332 7623254 11434881 15246508 22869762 26681389 45739524 53362778 64797659 80044167 106725556 129595318 160088334 194392977 259190636 320176668 388785954 453583613 777571908 907167226 1360750839 1814334452 2721501678 5443003356 14937766213 29875532426 44813298639 59751064852 89626597278 104564363491 179253194556 209128726982 253942025621 313693090473 418257453964 507884051242 627386180946 761826076863 1015768102484 1254772361892 1523652153726 1777594179347 3047304307452 3555188358694 5332782538041 7110376717388 10665565076082 21331130152164