Search a number
-
+
11100112022112 = 253684431689379
BaseRepresentation
bin1010000110000111001000…
…1110111110101001100000
31110022011022220002100000020
42201201302032332221200
52423331012134201422
635335153203353440
72223646060265031
oct241416216765140
943264286070006
1011100112022112
11359a592947973
1212b3339082880
136269751c6369
142a5369436a88
15143b1567095c
hexa18723bea60

11100112022112 has 48 divisors (see below), whose sum is σ = 29138237029440. Its totient is φ = 3699981090432.

The previous prime is 11100112022101. The next prime is 11100112022137. The reversal of 11100112022112 is 21122021100111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11100112022091 and 11100112022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5725839 + ... + 7415217.

It is an arithmetic number, because the mean of its divisors is an integer number (607046604780).

Almost surely, 211100112022112 is an apocalyptic number.

11100112022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11100112022112 is an abundant number, since it is smaller than the sum of its proper divisors (18038125007328).

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

11100112022112 is a wasteful number, since it uses less digits than its factorization.

11100112022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757835 (or 1757827 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11100112022112 its reverse (21122021100111), we get a palindrome (32222133122223).

The spelling of 11100112022112 in words is "eleven trillion, one hundred billion, one hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 68443 136886 205329 273772 410658 547544 821316 1095088 1642632 1689379 2190176 3285264 3378758 5068137 6570528 6757516 10136274 13515032 20272548 27030064 40545096 54060128 81090192 162180384 115626166897 231252333794 346878500691 462504667588 693757001382 925009335176 1387514002764 1850018670352 2775028005528 3700037340704 5550056011056 11100112022112