Search a number
-
+
10101101005500 = 223538431798727
BaseRepresentation
bin1001001011111101100010…
…0010011000101010111100
31022202122201002121110200120
42102333120202120222330
52310444023324134000
633252214242254540
72061531461614341
oct222773042305274
938678632543616
1010101101005500
11324494220091a
1211717b2357450
135836b6aab4bb
1426cc784b07c8
15127b45b616a0
hex92fd8898abc

10101101005500 has 96 divisors (see below), whose sum is σ = 29417931798528. Its totient is φ = 2693304072000.

The previous prime is 10101101005493. The next prime is 10101101005511. The reversal of 10101101005500 is 550010110101.

10101101005500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101011010055003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10101101005500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12247137 + ... + 13045863.

It is an arithmetic number, because the mean of its divisors is an integer number (306436789568).

Almost surely, 210101101005500 is an apocalyptic number.

10101101005500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101101005500 is an abundant number, since it is smaller than the sum of its proper divisors (19316830793028).

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

10101101005500 is a wasteful number, since it uses less digits than its factorization.

10101101005500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807180 (or 807168 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 10101101005500 its reverse (550010110101), we get a palindrome (10651111115601).

The spelling of 10101101005500 in words is "ten trillion, one hundred one billion, one hundred one million, five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 8431 16862 25293 33724 42155 50586 84310 101172 126465 168620 210775 252930 421550 505860 632325 798727 843100 1053875 1264650 1597454 2107750 2396181 2529300 3161625 3194908 3993635 4215500 4792362 6323250 7987270 9584724 11980905 12646500 15974540 19968175 23961810 39936350 47923620 59904525 79872700 99840875 119809050 199681750 239618100 299522625 399363500 599045250 1198090500 6734067337 13468134674 20202202011 26936269348 33670336685 40404404022 67340673370 80808808044 101011010055 134681346740 168351683425 202022020110 336703366850 404044040220 505055050275 673406733700 841758417125 1010110100550 1683516834250 2020220201100 2525275251375 3367033668500 5050550502750 10101101005500