Search a number
-
+
101081088 = 21333457
BaseRepresentation
bin1100000011001…
…10000000000000
321001012110012000
412001212000000
5201334043323
614010304000
72335114023
oct601460000
9231173160
10101081088
115206a799
1229a28000
1317c318c4
14d5d31ba
158d19e43
hex6066000

101081088 has 112 divisors (see below), whose sum is σ = 300136560. Its totient is φ = 33619968.

The previous prime is 101081069. The next prime is 101081131. The reversal of 101081088 is 880180101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220956 + ... + 221412.

Almost surely, 2101081088 is an apocalyptic number.

101081088 is a gapful number since it is divisible by the number (18) 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 101081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150068280).

101081088 is an abundant number, since it is smaller than the sum of its proper divisors (199055472).

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

101081088 is an frugal number, since it uses more digits than its factorization.

101081088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 101081088 is about 10053.9090904981. The cubic root of 101081088 is about 465.8255470089.

The spelling of 101081088 in words is "one hundred one million, eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 457 512 576 768 864 914 1024 1152 1371 1536 1728 1828 2048 2304 2742 3072 3456 3656 4096 4113 4608 5484 6144 6912 7312 8192 8226 9216 10968 12288 12339 13824 14624 16452 18432 21936 24576 24678 27648 29248 32904 36864 43872 49356 55296 58496 65808 73728 87744 98712 110592 116992 131616 175488 197424 221184 233984 263232 350976 394848 467968 526464 701952 789696 935936 1052928 1403904 1579392 1871872 2105856 2807808 3158784 3743744 4211712 5615616 6317568 8423424 11231232 12635136 16846848 25270272 33693696 50540544 101081088