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11100020001000 = 233537171961139193
BaseRepresentation
bin1010000110000110110010…
…1111111100100011101000
31110022011002110221011202220
42201201230233330203220
52423330320110013000
635335140115154040
72223643562153640
oct241415457744350
943264073834686
1011100020001000
11359a545a06067
1212b33122a5920
1362695c1174b8
142a535b121520
15143b0c5451a0
hexa186cbfc8e8

11100020001000 has 2048 divisors, whose sum is σ = 45393094656000. Its totient is φ = 2197684224000.

The previous prime is 11100020000977. The next prime is 11100020001023. The reversal of 11100020001000 is 10002000111.

11100020001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11100020000977) and next prime (11100020001023).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11100020001000.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 57513056904 + ... + 57513057096.

It is an arithmetic number, because the mean of its divisors is an integer number (22164597000).

Almost surely, 211100020001000 is an apocalyptic number.

11100020001000 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 11100020001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696547328000).

11100020001000 is an abundant number, since it is smaller than the sum of its proper divisors (34293074655000).

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

11100020001000 is a wasteful number, since it uses less digits than its factorization.

11100020001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11100020001000 its reverse (10002000111), we get a palindrome (11110022001111).

The spelling of 11100020001000 in words is "eleven trillion, one hundred billion, twenty million, one thousand".