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1101001101000 = 233531013679901
BaseRepresentation
bin10000000001011000110…
…001111000111011001000
310220020212122210222010120
4100001120301320323020
5121014322240213000
62201443134343240
7142354555642233
oct20013061707310
93806778728116
101101001101000
11394a28466a99
1215946b05ab20
137ca9330c628
143b40842041a
151d98d7ed6a0
hex10058c78ec8

1101001101000 has 256 divisors, whose sum is σ = 3478938577920. Its totient is φ = 289872000000.

The previous prime is 1101001100977. The next prime is 1101001101023. The reversal of 1101001101000 is 1011001011.

It is an interprime number because it is at equal distance from previous prime (1101001100977) and next prime (1101001101023).

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 1101001101000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111196050 + ... + 111205950.

It is an arithmetic number, because the mean of its divisors is an integer number (13589603820).

Almost surely, 21101001101000 is an apocalyptic number.

1101001101000 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 1101001101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739469288960).

1101001101000 is an abundant number, since it is smaller than the sum of its proper divisors (2377937476920).

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

1101001101000 is a wasteful number, since it uses less digits than its factorization.

1101001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101001101000 its reverse (1011001011), we get a palindrome (1102012102011).

The spelling of 1101001101000 in words is "one trillion, one hundred one billion, one million, one hundred one thousand".