Search a number
-
+
99998521110 = 233512712832273
BaseRepresentation
bin101110100100001100…
…0000101011100010110
3100120010001212012121000
41131020120011130112
53114244110133420
6113534431204130
710140025255605
oct1351030053426
9316101765530
1099998521110
1139455615a84
1217469376646
139578412567
144ba8b97a3c
152904046690
hex1748605716

99998521110 has 128 divisors (see below), whose sum is σ = 269090242560. Its totient is φ = 26424050688.

The previous prime is 99998521057. The next prime is 99998521111. The reversal of 99998521110 is 1112589999.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99998521111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43992934 + ... + 43995206.

It is an arithmetic number, because the mean of its divisors is an integer number (2102267520).

Almost surely, 299998521110 is an apocalyptic number.

99998521110 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99998521110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134545121280).

99998521110 is an abundant number, since it is smaller than the sum of its proper divisors (169091721450).

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

99998521110 is a wasteful number, since it uses less digits than its factorization.

99998521110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 54.

The spelling of 99998521110 in words is "ninety-nine billion, nine hundred ninety-eight million, five hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 762 1143 1270 1283 1905 2273 2286 2566 3429 3810 3849 4546 5715 6415 6819 6858 7698 11365 11430 11547 12830 13638 17145 19245 20457 22730 23094 34095 34290 34641 38490 40914 57735 61371 68190 69282 102285 115470 122742 162941 173205 204570 288671 306855 325882 346410 488823 577342 613710 814705 866013 977646 1443355 1466469 1629410 1732026 2444115 2598039 2886710 2916259 2932938 4330065 4399407 4888230 5196078 5832518 7332345 7794117 8660130 8748777 8798814 12990195 14581295 14664690 15588234 17497554 21997035 25980390 26246331 29162590 38970585 43743885 43994070 52492662 77941170 78738993 87487770 131231655 157477986 262463310 370364893 393694965 740729786 787389930 1111094679 1851824465 2222189358 3333284037 3703648930 5555473395 6666568074 9999852111 11110946790 16666420185 19999704222 33332840370 49999260555 99998521110