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21430210344100 = 22523132509727281
BaseRepresentation
bin1001101111101100111000…
…00100110011010010100100
32210212201010012112210100221
410313312130010303102210
510302103032322002400
6113324522553214124
74341165406246615
oct467663404632244
983781105483327
1021430210344100
116912557066a58
1224a139a101344
13bc5b24a1c35c
14541328bc7c0c
152726b031dc1a
hex137d9c1334a4

21430210344100 has 72 divisors (see below), whose sum is σ = 46655699109768. Its totient is φ = 8544043622400.

The previous prime is 21430210344079. The next prime is 21430210344157. The reversal of 21430210344100 is 144301203412.

It can be written as a sum of positive squares in 12 ways, for example, as 12162070357056 + 9268139987044 = 3487416^2 + 3044362^2 .

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

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, 785522460 + ... + 785549740.

It is an arithmetic number, because the mean of its divisors is an integer number (647995820969).

Almost surely, 221430210344100 is an apocalyptic number.

21430210344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21430210344100 is an abundant number, since it is smaller than the sum of its proper divisors (25225488765668).

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

21430210344100 is a wasteful number, since it uses less digits than its factorization.

21430210344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52705 (or 52698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 21430210344100 its reverse (144301203412), we get a palindrome (21574511547512).

The spelling of 21430210344100 in words is "twenty-one trillion, four hundred thirty billion, two hundred ten million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 626 1252 1565 3130 6260 7825 15650 25097 27281 31300 50194 54562 100388 109124 125485 136405 250970 272810 501940 545620 627425 682025 1254850 1364050 2509700 2728100 7855361 8538953 15710722 17077906 31421444 34155812 39276805 42694765 78553610 85389530 157107220 170779060 196384025 213473825 392768050 426947650 684671257 785536100 853895300 1369342514 2738685028 3423356285 6846712570 13693425140 17116781425 34233562850 68467125700 214302103441 428604206882 857208413764 1071510517205 2143021034410 4286042068820 5357552586025 10715105172050 21430210344100