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10102341132120 = 2335531588418417
BaseRepresentation
bin1001001100000010001001…
…1101000101111101011000
31022202202220112010102121010
42103000202131011331120
52311004043312211440
633252541302413520
72061604300536006
oct223004235057530
938682815112533
1010102341132120
113245419224356
121171a997312a0
135838539b2033
1426cd55087a76
15127bb9976580
hex93022745f58

10102341132120 has 64 divisors (see below), whose sum is σ = 30878854045920. Its totient is φ = 2643128244224.

The previous prime is 10102341132119. The next prime is 10102341132137. The reversal of 10102341132120 is 2123114320101.

It is a super-3 number, since 3×101023411321203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794202849 + ... + 794215568.

Almost surely, 210102341132120 is an apocalyptic number.

10102341132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102341132120 is an abundant number, since it is smaller than the sum of its proper divisors (20776512913800).

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

10102341132120 is a wasteful number, since it uses less digits than its factorization.

10102341132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588418484 (or 1588418480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10102341132120 its reverse (2123114320101), we get a palindrome (12225455452221).

The spelling of 10102341132120 in words is "ten trillion, one hundred two billion, three hundred forty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 1588418417 3176836834 4765255251 6353673668 7942092085 9530510502 12707347336 15884184170 19061021004 23826276255 31768368340 38122042008 47652552510 63536736680 84186176101 95305105020 168372352202 190610210040 252558528303 336744704404 420930880505 505117056606 673489408808 841861761010 1010234113212 1262792641515 1683723522020 2020468226424 2525585283030 3367447044040 5051170566060 10102341132120