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1001200001000 = 23531138860177
BaseRepresentation
bin11101001000111000010…
…10111001111111101000
310112201021100102210101112
432210130022321333220
5112400424200013000
62043540034405452
7132222445410143
oct16443412717750
93481240383345
101001200001000
11356674332461
12142057a30888
1373549a905c4
143665b97705a
151b09bca2235
hexe91c2b9fe8

1001200001000 has 64 divisors (see below), whose sum is σ = 2363541083280. Its totient is φ = 396935884800.

The previous prime is 1001200000987. The next prime is 1001200001051. The reversal of 1001200001000 is 1000021001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 107702884 + 1001092298116 = 10378^2 + 1000546^2 .

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, 4317089 + ... + 4543088.

Almost surely, 21001200001000 is an apocalyptic number.

1001200001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001200001000 is an abundant number, since it is smaller than the sum of its proper divisors (1362341082280).

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

1001200001000 is a wasteful number, since it uses less digits than its factorization.

1001200001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860311 (or 8860297 counting only the distinct ones).

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

Adding to 1001200001000 its reverse (1000021001), we get a palindrome (1002200022001).

The spelling of 1001200001000 in words is "one trillion, one billion, two hundred million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 11300 14125 22600 28250 56500 113000 8860177 17720354 35440708 44300885 70881416 88601770 177203540 221504425 354407080 443008850 886017700 1001200001 1107522125 1772035400 2002400002 2215044250 4004800004 4430088500 5006000005 8009600008 8860177000 10012000010 20024000020 25030000025 40048000040 50060000050 100120000100 125150000125 200240000200 250300000250 500600000500 1001200001000