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10100132101320 = 2335593141935527
BaseRepresentation
bin1001001011111001111011…
…0010010011110011001000
31022202120012120110001000120
42102332132302103303020
52310440032304220240
633251534151303240
72061465455224662
oct222763662236310
938676176401016
1010100132101320
113244495296868
12117158197ab20
1358359113b011
1426cbc5939532
15127adaa73ad0
hex92f9ec93cc8

10100132101320 has 64 divisors (see below), whose sum is σ = 30351493307520. Its totient is φ = 2688826604544.

The previous prime is 10100132101313. The next prime is 10100132101333. The reversal of 10100132101320 is 2310123100101.

It is a happy number.

It is a super-2 number, since 2×101001321013202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10100132101320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70896604 + ... + 71038923.

It is an arithmetic number, because the mean of its divisors is an integer number (474242082930).

Almost surely, 210100132101320 is an apocalyptic number.

10100132101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100132101320 is an abundant number, since it is smaller than the sum of its proper divisors (20251361206200).

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

10100132101320 is a wasteful number, since it uses less digits than its factorization.

10100132101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141936134 (or 141936130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10100132101320 its reverse (2310123100101), we get a palindrome (12410255201421).

The spelling of 10100132101320 in words is "ten trillion, one hundred billion, one hundred thirty-two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 593 1186 1779 2372 2965 3558 4744 5930 7116 8895 11860 14232 17790 23720 35580 71160 141935527 283871054 425806581 567742108 709677635 851613162 1135484216 1419355270 1703226324 2129032905 2838710540 3406452648 4258065810 5677421080 8516131620 17032263240 84167767511 168335535022 252503302533 336671070044 420838837555 505006605066 673342140088 841677675110 1010013210132 1262516512665 1683355350220 2020026420264 2525033025330 3366710700440 5050066050660 10100132101320