Search a number
-
+
20525351100 = 223523112591753
BaseRepresentation
bin10011000111011010…
…000000000010111100
31221222110001212110220
4103013122000002330
5314013442213400
613232413301340
71324431414522
oct230732000274
957873055426
1020525351100
118783031091
123b89a94850
131c21497987
14dc9d9a312
15801e407a0
hex4c76800bc

20525351100 has 144 divisors (see below), whose sum is σ = 61386071040. Its totient is φ = 5289638400.

The previous prime is 20525351071. The next prime is 20525351111. The reversal of 20525351100 is 115352502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11707824 + ... + 11709576.

It is an arithmetic number, because the mean of its divisors is an integer number (426292160).

Almost surely, 220525351100 is an apocalyptic number.

20525351100 is a gapful number since it is divisible by the number (20) 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 20525351100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30693035520).

20525351100 is an abundant number, since it is smaller than the sum of its proper divisors (40860719940).

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

20525351100 is a wasteful number, since it uses less digits than its factorization.

20525351100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 20525351100 in words is "twenty billion, five hundred twenty-five million, three hundred fifty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1259 1550 1753 1860 2325 2518 3100 3506 3777 4650 5036 5259 6295 7012 7554 8765 9300 10518 12590 15108 17530 18885 21036 25180 26295 31475 35060 37770 39029 43825 52590 54343 62950 75540 78058 87650 94425 105180 108686 117087 125900 131475 156116 163029 175300 188850 195145 217372 234174 262950 271715 326058 377700 390290 468348 525900 543430 585435 652116 780580 815145 975725 1086860 1170870 1358575 1630290 1951450 2207027 2341740 2717150 2927175 3260580 3902900 4075725 4414054 5434300 5854350 6621081 8151450 8828108 11035135 11708700 13242162 16302900 22070270 26484324 33105405 44140540 55175675 66210810 68417837 110351350 132421620 136835674 165527025 205253511 220702700 273671348 331054050 342089185 410507022 662108100 684178370 821014044 1026267555 1368356740 1710445925 2052535110 3420891850 4105070220 5131337775 6841783700 10262675550 20525351100