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984149000101 = 171632514213361
BaseRepresentation
bin11100101001000111101…
…10011111111110100101
310111002021000222012101201
432110203312133332211
5112111014121000401
62032040052322501
7131050062322231
oct16244366377645
93432230865351
10984149000101
1134a4144aa083
1213a899613431
1371a60351367
14358c11bd5c1
151a8eeda3b01
hexe523d9ffa5

984149000101 has 32 divisors (see below), whose sum is σ = 1055424214656. Its totient is φ = 914457600000.

The previous prime is 984148999993. The next prime is 984149000119. The reversal of 984149000101 is 101000941489.

It is a 7-Lehmer number, since φ(984149000101) divides (984149000101-1)7.

It is a cyclic number.

It is not a de Polignac number, because 984149000101 - 27 = 984148999973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984149006101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292812661 + ... + 292816021.

It is an arithmetic number, because the mean of its divisors is an integer number (32982006708).

Almost surely, 2984149000101 is an apocalyptic number.

It is an amenable number.

984149000101 is a deficient number, since it is larger than the sum of its proper divisors (71275214555).

984149000101 is a wasteful number, since it uses less digits than its factorization.

984149000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213.

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 984149000101 in words is "nine hundred eighty-four billion, one hundred forty-nine million, one hundred one", and thus it is an aban number.

Divisors: 1 17 163 251 421 2771 3361 4267 7157 40913 57137 68623 105671 547843 695521 843611 1166591 1414981 1796407 9313331 14341387 17224373 24054677 137508593 230641903 292814341 355160231 2337646081 3920912351 6037723927 57891117653 984149000101