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93840000100 = 225271112187013
BaseRepresentation
bin101011101100101001…
…1001100010001100100
322222012212111220222021
41113121103030101210
53014141020000400
6111035352512524
76531304561060
oct1273123142144
9288185456867
1093840000100
1136885262aa0
121622a9ab744
138b065532a2
144782cc2aa0
15269354971a
hex15d94cc464

93840000100 has 72 divisors (see below), whose sum is σ = 253879875648. Its totient is φ = 29248828800.

The previous prime is 93840000061. The next prime is 93840000209. The reversal of 93840000100 is 100004839.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6085807 + ... + 6101206.

It is an arithmetic number, because the mean of its divisors is an integer number (3526109384).

Almost surely, 293840000100 is an apocalyptic number.

It is an amenable number.

93840000100 is an abundant number, since it is smaller than the sum of its proper divisors (160039875548).

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

93840000100 is a wasteful number, since it uses less digits than its factorization.

93840000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187045 (or 12187038 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 93840000100 its reverse (100004839), we get a palindrome (93940004939).

The spelling of 93840000100 in words is "ninety-three billion, eight hundred forty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 12187013 24374026 48748052 60935065 85309091 121870130 134057143 170618182 243740260 268114286 304675325 341236364 426545455 536228572 609350650 670285715 853090910 938400001 1218701300 1340571430 1706181820 1876800002 2132727275 2681142860 3351428575 3753600004 4265454550 4692000005 6702857150 8530909100 9384000010 13405714300 18768000020 23460000025 46920000050 93840000100