Search a number
-
+
10100100101010 = 2354766110836901
BaseRepresentation
bin1001001011111001110011…
…1000001111001110010010
31022202120010100020020211220
42102332130320033032102
52310440001111213020
633251531045345510
72061464616225423
oct222763470171622
938676110206756
1010100100101010
11324447921a527
121171573108296
1358358761571a
1426cbc15a964a
15127ad7d52240
hex92f9ce0f392

10100100101010 has 64 divisors (see below), whose sum is σ = 24793444652544. Its totient is φ = 2632066272000.

The previous prime is 10100100101009. The next prime is 10100100101027. The reversal of 10100100101010 is 1010100100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10100100101010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4486441 + ... + 6350460.

It is an arithmetic number, because the mean of its divisors is an integer number (387397572696).

Almost surely, 210100100101010 is an apocalyptic number.

10100100101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100100101010 is an abundant number, since it is smaller than the sum of its proper divisors (14693344551534).

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

10100100101010 is a wasteful number, since it uses less digits than its factorization.

10100100101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10837619.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100100101010 its reverse (1010100100101), we get a palindrome (11110200201111).

Subtracting from 10100100101010 its reverse (1010100100101), we obtain a palindrome (9090000000909).

The spelling of 10100100101010 in words is "ten trillion, one hundred billion, one hundred million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 661 705 1322 1410 1983 3305 3966 6610 9915 19830 31067 62134 93201 155335 186402 310670 466005 932010 10836901 21673802 32510703 54184505 65021406 108369010 162553515 325107030 509334347 1018668694 1528003041 2546671735 3056006082 5093343470 7163191561 7640015205 14326383122 15280030410 21489574683 35815957805 42979149366 71631915610 107447873415 214895746830 336670003367 673340006734 1010010010101 1683350016835 2020020020202 3366700033670 5050050050505 10100100101010