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1001100110000 = 2454421237791
BaseRepresentation
bin11101001000101100011…
…01110110100010110000
310112201000101110210200212
432210112031312202300
5112400223112010000
62043522105403252
7132220123350554
oct16442615664260
93481011423625
101001100110000
11356622a05911
1214202a499528
13735321875c3
143664c5b3864
151b09311ec35
hexe9163768b0

1001100110000 has 100 divisors (see below), whose sum is σ = 2429530851264. Its totient is φ = 399487200000.

The previous prime is 1001100109991. The next prime is 1001100110069. The reversal of 1001100110000 is 110011001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4091105 + ... + 4328895.

Almost surely, 21001100110000 is an apocalyptic number.

1001100110000 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 1001100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214765425632).

1001100110000 is an abundant number, since it is smaller than the sum of its proper divisors (1428430741264).

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

1001100110000 is an equidigital number, since it uses as much as digits as its factorization.

1001100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238240 (or 238219 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1001100110000 its reverse (110011001), we get a palindrome (1001210121001).

It can be divided in two parts, 1001 and 100110000, that added together give a palindrome (100111001).

The spelling of 1001100110000 in words is "one trillion, one billion, one hundred million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 421 500 625 842 1000 1250 1684 2000 2105 2500 3368 4210 5000 6736 8420 10000 10525 16840 21050 33680 42100 52625 84200 105250 168400 210500 237791 263125 421000 475582 526250 842000 951164 1052500 1188955 1902328 2105000 2377910 3804656 4210000 4755820 5944775 9511640 11889550 19023280 23779100 29723875 47558200 59447750 95116400 100110011 118895500 148619375 200220022 237791000 297238750 400440044 475582000 500550055 594477500 800880088 1001100110 1188955000 1601760176 2002200220 2377910000 2502750275 4004400440 5005500550 8008800880 10011001100 12513751375 20022002200 25027502750 40044004400 50055005500 62568756875 100110011000 125137513750 200220022000 250275027500 500550055000 1001100110000