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1001110000200 = 2335210116519967
BaseRepresentation
bin11101001000101101100…
…11100101001001001000
310112201001002002021111120
432210112303211021020
5112400233130001300
62043523101355240
7132220303412142
oct16442663451110
93481032067446
101001110000200
11356628550532
12142031868b20
137353423b1ab
143664da29c92
151b093e253a0
hexe916ce5248

1001110000200 has 96 divisors (see below), whose sum is σ = 3134168328960. Its totient is φ = 264319456000.

The previous prime is 1001110000193. The next prime is 1001110000207. The reversal of 1001110000200 is 20000111001.

It is an interprime number because it is at equal distance from previous prime (1001110000193) and next prime (1001110000207).

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 not an unprimeable number, because it can be changed into a prime (1001110000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8199384 + ... + 8320583.

It is an arithmetic number, because the mean of its divisors is an integer number (32647586760).

Almost surely, 21001110000200 is an apocalyptic number.

1001110000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001110000200 is an abundant number, since it is smaller than the sum of its proper divisors (2133058328760).

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

1001110000200 is a wasteful number, since it uses less digits than its factorization.

1001110000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16520087 (or 16520078 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001110000200 its reverse (20000111001), we get a palindrome (1021110111201).

The spelling of 1001110000200 in words is "one trillion, one billion, one hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 16519967 33039934 49559901 66079868 82599835 99119802 132159736 165199670 198239604 247799505 330399340 396479208 412999175 495599010 660798680 825998350 991198020 1238997525 1651996700 1668516667 1982396040 2477995050 3303993400 3337033334 4955990100 5005550001 6674066668 8342583335 9911980200 10011100002 13348133336 16685166670 20022200004 25027750005 33370333340 40044400008 41712916675 50055500010 66740666680 83425833350 100111000020 125138750025 166851666700 200222000040 250277500050 333703333400 500555000100 1001110000200