Search a number
-
+
101109696 = 263618997
BaseRepresentation
bin1100000011011…
…00111111000000
321001020220102120
412001230333000
5201341002241
614011044240
72335263312
oct601547700
9231226376
10101109696
115208a236
1229a40680
1317c4192c
14d5dd7b2
158d23666
hex606cfc0

101109696 has 112 divisors (see below), whose sum is σ = 277794720. Its totient is φ = 32440320.

The previous prime is 101109691. The next prime is 101109713. The reversal of 101109696 is 696901101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101109691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042320 + ... + 1042416.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2101109696 is an apocalyptic number.

101109696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897360).

101109696 is an abundant number, since it is smaller than the sum of its proper divisors (176685024).

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

101109696 is an equidigital number, since it uses as much as digits as its factorization.

101109696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 101109696 is about 10055.3317200379. The cubic root of 101109696 is about 465.8694888926.

The spelling of 101109696 in words is "one hundred one million, one hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 89 96 97 122 178 183 192 194 244 267 291 356 366 388 488 534 582 712 732 776 976 1068 1164 1424 1464 1552 1952 2136 2328 2848 2928 3104 3904 4272 4656 5429 5696 5856 5917 6208 8544 8633 9312 10858 11712 11834 16287 17088 17266 17751 18624 21716 23668 25899 32574 34532 35502 43432 47336 51798 65148 69064 71004 86864 94672 103596 130296 138128 142008 173728 189344 207192 260592 276256 284016 347456 378688 414384 521184 526613 552512 568032 828768 1042368 1053226 1136064 1579839 1657536 2106452 3159678 4212904 6319356 8425808 12638712 16851616 25277424 33703232 50554848 101109696