Search a number
-
+
10203000100 = 22522379233241
BaseRepresentation
bin10011000000010010…
…10110110100100100
3222100001202002220121
421200021112310210
5131343432000400
64404233411324
7510561032656
oct114011266444
928301662817
1010203000100
114366366a97
121b88b69b44
13c67a85187
146cb0c66d6
153eab0b21a
hex260256d24

10203000100 has 144 divisors (see below), whose sum is σ = 23593489920. Its totient is φ = 3821875200.

The previous prime is 10203000091. The next prime is 10203000113. The reversal of 10203000100 is 100030201.

It is a super-2 number, since 2×102030001002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42335980 + ... + 42336220.

It is an arithmetic number, because the mean of its divisors is an integer number (163843680).

Almost surely, 210203000100 is an apocalyptic number.

10203000100 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 10203000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796744960).

10203000100 is an abundant number, since it is smaller than the sum of its proper divisors (13390489820).

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

10203000100 is a wasteful number, since it uses less digits than its factorization.

10203000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10203000100 its reverse (100030201), we get a palindrome (10303030301).

The spelling of 10203000100 in words is "ten billion, two hundred three million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 25 46 50 79 92 100 115 158 230 233 241 316 395 460 466 482 575 790 932 964 1150 1165 1205 1580 1817 1975 2300 2330 2410 3634 3950 4660 4820 5359 5543 5825 6025 7268 7900 9085 10718 11086 11650 12050 18170 18407 19039 21436 22172 23300 24100 26795 27715 36340 36814 38078 45425 53590 55430 56153 73628 76156 90850 92035 95195 107180 110860 112306 133975 138575 181700 184070 190390 224612 267950 277150 280765 368140 380780 423361 437897 460175 475975 535900 554300 561530 846722 875794 920350 951950 1123060 1291519 1403825 1693444 1751588 1840700 1903900 2116805 2189485 2583038 2807650 4233610 4378970 4436087 5166076 5615300 6457595 8467220 8757940 8872174 10584025 10947425 12915190 17744348 21168050 21894850 22180435 25830380 32287975 42336100 43789700 44360870 64575950 88721740 102030001 110902175 129151900 204060002 221804350 408120004 443608700 510150005 1020300010 2040600020 2550750025 5101500050 10203000100