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1111220001000 = 2332533717319289
BaseRepresentation
bin10000001010111001110…
…111111001100011101000
310221020020211110212121100
4100022321313321203220
5121201234310013000
62210253141041400
7143166032106504
oct20127167714350
93836224425540
101111220001000
113992a17a289a
1215b4413b6260
1380a31470915
143bad7685304
151dd8a9eaa00
hex102b9df98e8

1111220001000 has 384 divisors, whose sum is σ = 3879933501600. Its totient is φ = 286635110400.

The previous prime is 1111220000993. The next prime is 1111220001029. The reversal of 1111220001000 is 1000221111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 134479157796 + 976740843204 = 366714^2 + 988302^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57599356 + ... + 57618644.

Almost surely, 21111220001000 is an apocalyptic number.

1111220001000 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 1111220001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939966750800).

1111220001000 is an abundant number, since it is smaller than the sum of its proper divisors (2768713500600).

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

1111220001000 is a wasteful number, since it uses less digits than its factorization.

1111220001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19526 (or 19509 counting only the distinct ones).

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

Adding to 1111220001000 its reverse (1000221111), we get a palindrome (1112220222111).

The spelling of 1111220001000 in words is "one trillion, one hundred eleven billion, two hundred twenty million, one thousand".