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10002022100 = 2252728532393
BaseRepresentation
bin10010101000010101…
…01011111011010100
3221211001120100220222
421110022223323110
5130441004201400
64332254013512
7502600533200
oct112412537324
927731510828
1010002022100
114272976274
121b317a7298
13c35247995
146ac52bb00
153d815c185
hex2542abed4

10002022100 has 108 divisors (see below), whose sum is σ = 25288123644. Its totient is φ = 3423813120.

The previous prime is 10002022099. The next prime is 10002022117. The reversal of 10002022100 is 122020001.

10002022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4483909444 + 5518112656 = 66962^2 + 74284^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4178504 + ... + 4180896.

It is an arithmetic number, because the mean of its divisors is an integer number (234149293).

Almost surely, 210002022100 is an apocalyptic number.

10002022100 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 10002022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644061822).

10002022100 is an abundant number, since it is smaller than the sum of its proper divisors (15286101544).

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

10002022100 is a wasteful number, since it uses less digits than its factorization.

10002022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10002022100 its reverse (122020001), we get a palindrome (10124042101).

The spelling of 10002022100 in words is "ten billion, two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 853 980 1225 1706 2393 2450 3412 4265 4786 4900 5971 8530 9572 11942 11965 16751 17060 21325 23884 23930 29855 33502 41797 42650 47860 59710 59825 67004 83594 83755 85300 117257 119420 119650 149275 167188 167510 208985 234514 239300 298550 335020 417970 418775 469028 586285 597100 835940 837550 1044925 1172570 1675100 2041229 2089850 2345140 2931425 4082458 4179700 5862850 8164916 10206145 11725700 14288603 20412290 28577206 40824580 51030725 57154412 71443015 100020221 102061450 142886030 200040442 204122900 285772060 357215075 400080884 500101105 714430150 1000202210 1428860300 2000404420 2500505525 5001011050 10002022100