Search a number
-
+
1025201332100 = 2252114719829813
BaseRepresentation
bin11101110101100101100…
…00101101111110000100
310122000020001011202000102
432322302300231332010
5113244103020111400
62102545422303232
7134032305353321
oct16726260557604
93560201152012
101025201332100
11365870474790
12146835a27b18
13758a343477a
143789743bb48
151ba03e579d5
hexeeb2c2df84

1025201332100 has 72 divisors (see below), whose sum is σ = 2478568111488. Its totient is φ = 364868540800.

The previous prime is 1025201332091. The next prime is 1025201332159. The reversal of 1025201332100 is 12331025201.

It is a super-2 number, since 2×10252013321002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9863207 + ... + 9966606.

It is an arithmetic number, because the mean of its divisors is an integer number (34424557104).

Almost surely, 21025201332100 is an apocalyptic number.

1025201332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025201332100 is an abundant number, since it is smaller than the sum of its proper divisors (1453366779388).

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

1025201332100 is a wasteful number, since it uses less digits than its factorization.

1025201332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19829885 (or 19829878 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1025201332100 its reverse (12331025201), we get a palindrome (1037532357301).

The spelling of 1025201332100 in words is "one trillion, twenty-five billion, two hundred one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 25850 51700 19829813 39659626 79319252 99149065 198298130 218127943 396596260 436255886 495745325 872511772 932001211 991490650 1090639715 1864002422 1982981300 2181279430 3728004844 4362558860 4660006055 5453198575 9320012110 10252013321 10906397150 18640024220 20504026642 21812794300 23300030275 41008053284 46600060550 51260066605 93200121100 102520133210 205040266420 256300333025 512600666050 1025201332100