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1100020001000 = 23532305347717
BaseRepresentation
bin10000000000011110010…
…011010010100011101000
310220011100021200220221112
4100000132103102203220
5121010320110013000
62201201530125452
7142321343506334
oct20003623224350
93804307626845
101100020001000
11394574682048
12159236580888
137c967c8bc9b
143b353dd27c4
151d932602235
hex1001e4d28e8

1100020001000 has 64 divisors (see below), whose sum is σ = 2574212406480. Its totient is φ = 439979692800.

The previous prime is 1100020000987. The next prime is 1100020001033. The reversal of 1100020001000 is 1000200011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45861935716 + 1054158065284 = 214154^2 + 1026722^2 .

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 15 ways as a sum of consecutive naturals, for example, 23029142 + ... + 23076858.

Almost surely, 21100020001000 is an apocalyptic number.

1100020001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100020001000 is an abundant number, since it is smaller than the sum of its proper divisors (1474192405480).

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

1100020001000 is a wasteful number, since it uses less digits than its factorization.

1100020001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70791 (or 70777 counting only the distinct ones).

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

Adding to 1100020001000 its reverse (1000200011), we get a palindrome (1101020201011).

The spelling of 1100020001000 in words is "one trillion, one hundred billion, twenty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 23053 46106 47717 92212 95434 115265 184424 190868 230530 238585 381736 461060 477170 576325 922120 954340 1152650 1192925 1908680 2305300 2385850 2881625 4610600 4771700 5763250 5964625 9543400 11526500 11929250 23053000 23858500 47717000 1100020001 2200040002 4400080004 5500100005 8800160008 11000200010 22000400020 27500500025 44000800040 55001000050 110002000100 137502500125 220004000200 275005000250 550010000500 1100020001000