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11011100010001 = 713223946498377
BaseRepresentation
bin1010000000111011100010…
…1101000110011000010001
31102222122120111021121110221
42200032320231012120101
52420401213100310001
635230232435153041
72214345215542450
oct240167055063021
942878514247427
1011011100010001
1135658659957a3
12129a037145781
1361b45ac96900
142a0d2383ab97
15141655e011a1
hexa03b8b46611

11011100010001 has 48 divisors (see below), whose sum is σ = 13688177472000. Its totient is φ = 8672725361664.

The previous prime is 11011100009971. The next prime is 11011100010007. The reversal of 11011100010001 is 10001000111011.

It is a happy number.

It is not a de Polignac number, because 11011100010001 - 213 = 11011100001809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011100010007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1314440125 + ... + 1314448501.

It is an arithmetic number, because the mean of its divisors is an integer number (285170364000).

Almost surely, 211011100010001 is an apocalyptic number.

It is an amenable number.

11011100010001 is a deficient number, since it is larger than the sum of its proper divisors (2677077461999).

11011100010001 is a wasteful number, since it uses less digits than its factorization.

11011100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13298 (or 13285 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11011100010001 its reverse (10001000111011), we get a palindrome (21012100121012).

It can be divided in two parts, 11011 and 100010001, that multiplied together give a palindrome (1101210121011).

The spelling of 11011100010001 in words is "eleven trillion, eleven billion, one hundred million, ten thousand, one".

Divisors: 1 7 13 91 169 239 1183 1673 3107 4649 8377 21749 32543 40391 58639 60437 108901 282737 423059 762307 785681 1111111 1415713 2002103 5499767 7777777 9909991 14014721 14444443 26027339 38944673 101111101 182191373 187777759 272612711 338355407 506280749 1314444313 2368487849 3543965243 6581649737 9307776847 46071548159 65154437929 121001099011 847007693077 1573014287143 11011100010001