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11100112102100 = 2252717391660711
BaseRepresentation
bin1010000110000111001000…
…1111010010001011010100
31110022011022220020101201202
42201201302033102023110
52423331012144231400
635335153205212032
72223646061050160
oct241416217221324
943264286211652
1011100112102100
11359a5929a1a7a
1212b3339101018
136269752238a8
142a5369457ca0
15143b156894d5
hexa18723d22d4

11100112102100 has 72 divisors (see below), whose sum is σ = 27687401309568. Its totient is φ = 3783754108800.

The previous prime is 11100112102097. The next prime is 11100112102103. The reversal of 11100112102100 is 120121100111.

It is an interprime number because it is at equal distance from previous prime (11100112102097) and next prime (11100112102103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100112102103) 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, 45709256 + ... + 45951455.

Almost surely, 211100112102100 is an apocalyptic number.

11100112102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100112102100 is an abundant number, since it is smaller than the sum of its proper divisors (16587289207468).

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

11100112102100 is a wasteful number, since it uses less digits than its factorization.

11100112102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91660905 (or 91660898 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11100112102100 its reverse (120121100111), we get a palindrome (11220233202211).

The spelling of 11100112102100 in words is "eleven trillion, one hundred billion, one hundred twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 173 175 346 350 692 700 865 1211 1730 2422 3460 4325 4844 6055 8650 12110 17300 24220 30275 60550 121100 91660711 183321422 366642844 458303555 641624977 916607110 1283249954 1833214220 2291517775 2566499908 3208124885 4583035550 6416249770 9166071100 12832499540 15857303003 16040624425 31714606006 32081248850 63429212012 64162497700 79286515015 111001121021 158573030030 222002242042 317146060060 396432575075 444004484084 555005605105 792865150150 1110011210210 1585730300300 2220022420420 2775028025525 5550056051050 11100112102100