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102134234002120 = 2353769009617569
BaseRepresentation
bin10111001110001111111010…
…101111001011001011001000
3111101121221022101010012212221
4113032033322233023023020
5101341331402401031440
61001115452552143424
730340645346633215
oct2716177257131310
9441557271105787
10102134234002120
112a5a79815075a1
12b556370397b74
1344cb2a8804328
141b314751d4b0c
15bc1b2c1a9d4a
hex5ce3fabcb2c8

102134234002120 has 32 divisors (see below), whose sum is σ = 236012892089400. Its totient is φ = 39749539719168.

The previous prime is 102134234002117. The next prime is 102134234002123. The reversal of 102134234002120 is 21200432431201.

It is an interprime number because it is at equal distance from previous prime (102134234002117) and next prime (102134234002123).

It can be written as a sum of positive squares in 4 ways, for example, as 85394565482724 + 16739668519396 = 9240918^2 + 4091414^2 .

It is not an unprimeable number, because it can be changed into a prime (102134234002123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34504807305 + ... + 34504810264.

Almost surely, 2102134234002120 is an apocalyptic number.

102134234002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102134234002120 is an abundant number, since it is smaller than the sum of its proper divisors (133878658087280).

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

102134234002120 is a wasteful number, since it uses less digits than its factorization.

102134234002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69009617617 (or 69009617613 counting only the distinct ones).

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

Adding to 102134234002120 its reverse (21200432431201), we get a palindrome (123334666433321).

The spelling of 102134234002120 in words is "one hundred two trillion, one hundred thirty-four billion, two hundred thirty-four million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 69009617569 138019235138 276038470276 345048087845 552076940552 690096175690 1380192351380 2553355850053 2760384702760 5106711700106 10213423400212 12766779250265 20426846800424 25533558500530 51067117001060 102134234002120