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10132130133130 = 2517101590106589
BaseRepresentation
bin1001001101110001001000…
…0001000111010010001010
31022212121210120101110202211
42103130102001013102022
52312001100303230010
633314345240215334
72064010426060315
oct223342201072212
938777716343684
1010132130133130
113257015352755
121177811a6a54a
135865c043b655
1427057d48997c
1512885ecc208a
hex9371204748a

10132130133130 has 32 divisors (see below), whose sum is σ = 19501842586320. Its totient is φ = 3776682163200.

The previous prime is 10132130133053. The next prime is 10132130133131. The reversal of 10132130133130 is 3133103123101.

It can be written as a sum of positive squares in 8 ways, for example, as 8599503465081 + 1532626668049 = 2932491^2 + 1237993^2 .

It is a super-2 number, since 2×101321301331302 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10132130133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295036125 + ... + 295070464.

Almost surely, 210132130133130 is an apocalyptic number.

10132130133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132130133130 is a deficient number, since it is larger than the sum of its proper divisors (9369712453190).

10132130133130 is a wasteful number, since it uses less digits than its factorization.

10132130133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590106714.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10132130133130 its reverse (3133103123101), we get a palindrome (13265233256231).

The spelling of 10132130133130 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 17 34 85 101 170 202 505 1010 1717 3434 8585 17170 590106589 1180213178 2950532945 5901065890 10031812013 20063624026 50159060065 59600765489 100318120130 119201530978 298003827445 596007654890 1013213013313 2026426026626 5066065066565 10132130133130