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10010213123232 = 253748613064421
BaseRepresentation
bin1001000110101010111100…
…1100101000010010100000
31022102222002222000200001210
42101222233030220102200
52303001404024420412
633142343423430120
72052133261431630
oct221525714502240
938388088020053
1010010213123232
11320a342384733
121158068155340
13577c610462ca
142686d56cc6c0
151255c689d83c
hex91aaf3284a0

10010213123232 has 96 divisors (see below), whose sum is σ = 30036827044224. Its totient is φ = 2859471590400.

The previous prime is 10010213123177. The next prime is 10010213123233. The reversal of 10010213123232 is 23232131201001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10010213123199 and 10010213123208.

It is not an unprimeable number, because it can be changed into a prime (10010213123233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734382 + ... + 4798802.

It is an arithmetic number, because the mean of its divisors is an integer number (312883615044).

Almost surely, 210010213123232 is an apocalyptic number.

10010213123232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010213123232 is an abundant number, since it is smaller than the sum of its proper divisors (20026613920992).

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

10010213123232 is a wasteful number, since it uses less digits than its factorization.

10010213123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069302 (or 3069294 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10010213123232 its reverse (23232131201001), we get a palindrome (33242344324233).

The spelling of 10010213123232 in words is "ten trillion, ten billion, two hundred thirteen million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4861 9722 14583 19444 29166 34027 38888 58332 68054 77776 102081 116664 136108 155552 204162 233328 272216 408324 466656 544432 816648 1088864 1633296 3064421 3266592 6128842 9193263 12257684 18386526 21450947 24515368 36773052 42901894 49030736 64352841 73546104 85803788 98061472 128705682 147092208 171607576 257411364 294184416 343215152 514822728 686430304 1029645456 2059290912 14896150481 29792300962 44688451443 59584601924 89376902886 104273053367 119169203848 178753805772 208546106734 238338407696 312819160101 357507611544 417092213468 476676815392 625638320202 715015223088 834184426936 1251276640404 1430030446176 1668368853872 2502553280808 3336737707744 5005106561616 10010213123232