Search a number
-
+
100055106055000 = 235450593955529
BaseRepresentation
bin10110101111111111100101…
…000011011110101101011000
3111010021011201101002011120201
4112233333211003132231120
5101103300324122230000
6552444403044431544
730034512541653565
oct2657774503365530
9433234641064521
10100055106055000
112997614aa33998
12b27b4246a85b4
1343aa2049c8095
141a9c99b72d86c
15b879e256996a
hex5affe50deb58

100055106055000 has 80 divisors (see below), whose sum is σ = 234475511787000. Its totient is φ = 40014121248000.

The previous prime is 100055106054977. The next prime is 100055106055019. The reversal of 100055106055000 is 550601550001.

It is a super-2 number, since 2×1000551060550002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100055106055000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23317236 + ... + 27272764.

Almost surely, 2100055106055000 is an apocalyptic number.

100055106055000 is a gapful number since it is divisible by the number (10) 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 100055106055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117237755893500).

100055106055000 is an abundant number, since it is smaller than the sum of its proper divisors (134420405732000).

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

100055106055000 is an equidigital number, since it uses as much as digits as its factorization.

100055106055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960614 (or 3960595 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 100055106055000 in words is "one hundred trillion, fifty-five billion, one hundred six million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 5059 10118 20236 25295 40472 50590 101180 126475 202360 252950 505900 632375 1011800 1264750 2529500 3161875 3955529 5059000 6323750 7911058 12647500 15822116 19777645 25295000 31644232 39555290 79110580 98888225 158221160 197776450 395552900 494441125 791105800 988882250 1977764500 2472205625 3955529000 4944411250 9888822500 19777645000 20011021211 40022042422 80044084844 100055106055 160088169688 200110212110 400220424220 500275530275 800440848440 1000551060550 2001102121100 2501377651375 4002204242200 5002755302750 10005510605500 12506888256875 20011021211000 25013776513750 50027553027500 100055106055000