Search a number
-
+
1111021020000 = 25325446713217
BaseRepresentation
bin10000001010101110000…
…000110110001101100000
310221012201222001120222200
4100022232000312031200
5121200332340120000
62210221312133200
7143161064565123
oct20125600661540
93835658046880
101111021020000
113991aa446491
1215b3a6837200
13809cc182398
143bab908a3ba
151dd782e3500
hex102ae036360

1111021020000 has 360 divisors, whose sum is σ = 3956822205336. Its totient is φ = 295615488000.

The previous prime is 1111021019987. The next prime is 1111021020047. The reversal of 1111021020000 is 201201111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 84053392 + ... + 84066608.

Almost surely, 21111021020000 is an apocalyptic number.

1111021020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978411102668).

1111021020000 is an abundant number, since it is smaller than the sum of its proper divisors (2845801185336).

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

1111021020000 is a wasteful number, since it uses less digits than its factorization.

1111021020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13694 counting only the distinct ones).

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

Adding to 1111021020000 its reverse (201201111), we get a palindrome (1111222221111).

The spelling of 1111021020000 in words is "one trillion, one hundred eleven billion, twenty-one million, twenty thousand".