Search a number
-
+
12101102002000 = 245311550050091
BaseRepresentation
bin1011000000011000000111…
…1000101101111101010000
31120211212001121022221121001
42300012001320231331100
53041231024103031000
641423100340511344
72356163405602564
oct260060170557520
946755047287531
1012101102002000
113946059672360
1214353366ab554
1369a18a6012cb
142db9a713d6a4
1515eb9dc8946a
hexb0181e2df50

12101102002000 has 80 divisors (see below), whose sum is σ = 31920506938944. Its totient is φ = 4400400720000.

The previous prime is 12101102001983. The next prime is 12101102002081. The reversal of 12101102002000 is 20020110121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 275003046 + ... + 275047045.

Almost surely, 212101102002000 is an apocalyptic number.

12101102002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101102002000 is an abundant number, since it is smaller than the sum of its proper divisors (19819404936944).

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

12101102002000 is a wasteful number, since it uses less digits than its factorization.

12101102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550050125 (or 550050109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12101102002000 its reverse (20020110121), we get a palindrome (12121122112121).

The spelling of 12101102002000 in words is "twelve trillion, one hundred one billion, one hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 550050091 1100100182 2200200364 2750250455 4400400728 5500500910 6050551001 8800801456 11001001820 12101102002 13751252275 22002003640 24202204004 27502504550 30252755005 44004007280 48404408008 55005009100 60505510010 68756261375 96808816016 110010018200 121011020020 137512522750 151263775025 220020036400 242022040040 275025045500 302527550050 484044080080 550050091000 605055100100 756318875125 1100100182000 1210110200200 1512637750250 2420220400400 3025275500500 6050551001000 12101102002000