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1102001000000 = 26561102001
BaseRepresentation
bin10000000010010100011…
…000001100111001000000
310220100110100022002200212
4100002110120030321000
5121023344224000000
62202130253533252
7142421416642535
oct20022430147100
93810410262625
101102001000000
113953a09209aa
121596a9aa4228
137cbc2512844
143b4a1142d8c
151d9eb4aec35
hex1009460ce40

1102001000000 has 98 divisors (see below), whose sum is σ = 2733446534874. Its totient is φ = 440800000000.

The previous prime is 1102000999993. The next prime is 1102001000033. The reversal of 1102001000000 is 1002011.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 991904451136 + 110096548864 = 995944^2 + 331808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 449000 + ... + 1551000.

Almost surely, 21102001000000 is an apocalyptic number.

1102001000000 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 1102001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366723267437).

1102001000000 is an abundant number, since it is smaller than the sum of its proper divisors (1631445534874).

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

1102001000000 is an frugal number, since it uses more digits than its factorization.

1102001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102043 (or 1102008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1102001000000 its reverse (1002011), we get a palindrome (1102002002011).

The spelling of 1102001000000 in words is "one trillion, one hundred two billion, one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 1102001 2204002 4408004 5510005 8816008 11020010 17632016 22040020 27550025 35264032 44080040 55100050 70528064 88160080 110200100 137750125 176320160 220400200 275500250 352640320 440800400 551000500 688750625 881600800 1102001000 1377501250 1763201600 2204002000 2755002500 3443753125 4408004000 5510005000 6887506250 8816008000 11020010000 13775012500 17218765625 22040020000 27550025000 34437531250 44080040000 55100050000 68875062500 110200100000 137750125000 220400200000 275500250000 551000500000 1102001000000