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99930577501 = 19791095411129
BaseRepresentation
bin101110100010001010…
…0111001101001011101
3100112221100000022111001
41131010110321221131
53114124211440001
6113524003030301
710135241615356
oct1350424715135
9315840008431
1099930577501
1139420229a37
121744a66b391
139567313a41
144b9db4cd2d
1528ed0c5001
hex1744539a5d

99930577501 has 32 divisors (see below), whose sum is σ = 107792960000. Its totient is φ = 92362083840.

The previous prime is 99930577477. The next prime is 99930577543. The reversal of 99930577501 is 10577503999.

It is a 5-Lehmer number, since φ(99930577501) divides (99930577501-1)5.

It is a cyclic number.

It is not a de Polignac number, because 99930577501 - 213 = 99930569309 is a prime.

It is a super-2 number, since 2×999305775012 (a number of 23 digits) contains 22 as substring.

It is a deceptive number, since it divides R99930577500.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99930577561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88511905 + ... + 88513033.

It is an arithmetic number, because the mean of its divisors is an integer number (3368530000).

It is a Poulet number, since it divides 299930577500-1.

Almost surely, 299930577501 is an apocalyptic number.

It is an amenable number.

99930577501 is a deficient number, since it is larger than the sum of its proper divisors (7862382499).

99930577501 is a wasteful number, since it uses less digits than its factorization.

99930577501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877.

The product of its (nonzero) digits is 2679075, while the sum is 55.

The spelling of 99930577501 in words is "ninety-nine billion, nine hundred thirty million, five hundred seventy-seven thousand, five hundred one".

Divisors: 1 19 79 109 541 1129 1501 2071 8611 10279 21451 42739 58969 89191 123061 163609 610789 812041 1120411 1694629 2338159 4658551 9721819 11604991 48252331 66576001 88512469 184714561 916794289 1264944019 5259504079 99930577501