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10220451013300 = 22521122963285071
BaseRepresentation
bin1001010010111010001001…
…0110100010001010110100
31100012001202210201001111211
42110232202112202022310
52314422440424411200
633423113235211204
72103255206134633
oct224564226421264
940161683631454
1010220451013300
113290518172200
121190960446b04
13591a274152a8
1427495b37951a
1512accda21aba
hex94ba25a22b4

10220451013300 has 108 divisors (see below), whose sum is σ = 24386200308288. Its totient is φ = 3715260296000.

The previous prime is 10220451013291. The next prime is 10220451013307. The reversal of 10220451013300 is 331015402201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220451013307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35709765 + ... + 35994835.

Almost surely, 210220451013300 is an apocalyptic number.

10220451013300 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 10220451013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193100154144).

10220451013300 is an abundant number, since it is smaller than the sum of its proper divisors (14165749294988).

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

10220451013300 is a wasteful number, since it uses less digits than its factorization.

10220451013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288070 (or 288052 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10220451013300 its reverse (331015402201), we get a palindrome (10551466415501).

The spelling of 10220451013300 in words is "ten trillion, two hundred twenty billion, four hundred fifty-one million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 2963 3025 5926 6050 11852 12100 14815 29630 32593 59260 65186 74075 130372 148150 162965 285071 296300 325930 358523 570142 651860 717046 814825 1140284 1425355 1434092 1629650 1792615 2850710 3135781 3259300 3585230 5701420 6271562 7126775 7170460 8963075 12543124 14253550 15678905 17926150 28507100 31357810 34493591 35852300 62715620 68987182 78394525 137974364 156789050 172467955 313578100 344935910 689871820 844665373 862339775 1689330746 1724679550 3378661492 3449359100 4223326865 8446653730 9291319103 16893307460 18582638206 21116634325 37165276412 42233268650 46456595515 84466537300 92913191030 102204510133 185826382060 204409020266 232282977575 408818040532 464565955150 511022550665 929131910300 1022045101330 2044090202660 2555112753325 5110225506650 10220451013300