Search a number
-
+
1101000211002 = 232233829131663
BaseRepresentation
bin10000000001011000101…
…110011111101000111010
310220020212121010202021200
4100001120232133220322
5121014322023223002
62201443103315030
7142354545244416
oct20013056375072
93806777122250
101101000211002
11394a27a0935a
1215946a8aba76
137ca9308a4c3
143b40826bd46
151d98d6c4b1c
hex10058b9fa3a

1101000211002 has 48 divisors (see below), whose sum is σ = 2396103285888. Its totient is φ = 365369348160.

The previous prime is 1101000211001. The next prime is 1101000211061. The reversal of 1101000211002 is 2001120001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1101000211001) 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, 34756623 + ... + 34788285.

It is an arithmetic number, because the mean of its divisors is an integer number (49918818456).

Almost surely, 21101000211002 is an apocalyptic number.

1101000211002 is an abundant number, since it is smaller than the sum of its proper divisors (1295103074886).

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

1101000211002 is a wasteful number, since it uses less digits than its factorization.

1101000211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40195 (or 40192 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101000211002 its reverse (2001120001011), we get a palindrome (3102120212013).

The spelling of 1101000211002 in words is "one trillion, one hundred one billion, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 233 466 699 1398 2097 4194 8291 16582 24873 31663 49746 63326 74619 94989 149238 189978 284967 569934 1931803 3863606 5795409 7377479 11590818 14754958 17386227 22132437 34772454 44264874 66397311 132794622 262517933 525035866 787553799 1575107598 2362661397 4725322794 61166678389 122333356778 183500035167 367000070334 550500105501 1101000211002