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102123131313130 = 2553192685153421
BaseRepresentation
bin10111001110000101100100…
…111101110001101111101010
3111101120212122121110011211121
4113032011210331301233222
5101341141133104010010
61001110415135045454
730340103252425444
oct2716054475615752
9441525577404747
10102123131313130
112a5a31a4310a74
12b55419207088a
1344ca229534285
141b30b00833494
15bc16cc5d43da
hex5ce164f71bea

102123131313130 has 16 divisors (see below), whose sum is σ = 187289969126184. Its totient is φ = 40078511911360.

The previous prime is 102123131313067. The next prime is 102123131313179. The reversal of 102123131313130 is 31313131321201.

It can be written as a sum of positive squares in 4 ways, for example, as 101093513193729 + 1029618119401 = 10054527^2 + 1014701^2 .

It is a super-2 number, since 2×1021231313131302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102123131313095 and 102123131313104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96342576181 + ... + 96342577240.

Almost surely, 2102123131313130 is an apocalyptic number.

102123131313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102123131313130 is a deficient number, since it is larger than the sum of its proper divisors (85166837813054).

102123131313130 is a wasteful number, since it uses less digits than its factorization.

102123131313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192685153481.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 102123131313130 its reverse (31313131321201), we get a palindrome (133436262634331).

The spelling of 102123131313130 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 53 106 265 530 192685153421 385370306842 963425767105 1926851534210 10212313131313 20424626262626 51061565656565 102123131313130