Search a number
-
+
101220200010010 = 258921361938921
BaseRepresentation
bin10111000000111100101010…
…000100001101000100011010
3111021101120000202220110200001
4113000330222010031010122
5101231342432200310020
6555135530135403214
730214626626120614
oct2700745204150432
9437346022813601
10101220200010010
112a285278111814
12b4291a022350a
1344630406972a3
141add126007db4
15ba7e82a8350a
hex5c0f2a10d11a

101220200010010 has 48 divisors (see below), whose sum is σ = 184402098745272. Its totient is φ = 40003700633600.

The previous prime is 101220200009963. The next prime is 101220200010011. The reversal of 101220200010010 is 10010002022101.

It can be written as a sum of positive squares in 12 ways, for example, as 105651651681 + 101114548358329 = 325041^2 + 10055573^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101220200010011) 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 23 ways as a sum of consecutive naturals, for example, 107335350 + ... + 108274270.

Almost surely, 2101220200010010 is an apocalyptic number.

101220200010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220200010010 is a deficient number, since it is larger than the sum of its proper divisors (83181898735262).

101220200010010 is an equidigital number, since it uses as much as digits as its factorization.

101220200010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940467 (or 940378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101220200010010 its reverse (10010002022101), we get a palindrome (111230202032111).

The spelling of 101220200010010 in words is "one hundred one trillion, two hundred twenty billion, two hundred million, ten thousand, ten".

Divisors: 1 2 5 10 89 178 445 890 1361 2722 6805 7921 13610 15842 39605 79210 121129 242258 605645 938921 1211290 1877842 4694605 9389210 10780481 21560962 53902405 83563969 107804810 167127938 417819845 835639690 1277871481 2555742962 6389357405 7437193241 12778714810 14874386482 37185966205 74371932410 113730561809 227461123618 568652809045 1137305618090 10122020001001 20244040002002 50610100005005 101220200010010