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101980621 = 3719314281
BaseRepresentation
bin1100001010000…
…01100111001101
321002220011010001
412011001213031
5202101334441
614041444301
72345551411
oct605014715
9232804101
10101980621
1152624606
122a1a0691
1318188182
14d788d41
158e46731
hex61419cd

101980621 has 8 divisors (see below), whose sum is σ = 105286904. Its totient is φ = 98703360.

The previous prime is 101980601. The next prime is 101980651. The reversal of 101980621 is 126089101.

It is a happy number.

101980621 is a nontrivial binomial coefficient, being equal to C(14282, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 978121 + 101002500 = 989^2 + 10050^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(101980621) divides (101980621-1)6.

It is a cyclic number.

It is not a de Polignac number, because 101980621 - 25 = 101980589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101980621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101980601) 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, 1 + ... + 14281.

It is an arithmetic number, because the mean of its divisors is an integer number (13160863).

Almost surely, 2101980621 is an apocalyptic number.

101980621 is the 14281-st triangular number and also the 7141-st hexagonal number.

101980621 is the 4761-st centered nonagonal number.

It is an amenable number.

101980621 is a deficient number, since it is larger than the sum of its proper divisors (3306283).

101980621 is a wasteful number, since it uses less digits than its factorization.

101980621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14511.

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 101980621 is about 10098.5454893267. The cubic root of 101980621 is about 467.2032810730.

The spelling of 101980621 in words is "one hundred one million, nine hundred eighty thousand, six hundred twenty-one".

Divisors: 1 37 193 7141 14281 528397 2756233 101980621