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1001114014200 = 233521668523357
BaseRepresentation
bin11101001000101110000…
…10111001000111111000
310112201001100122012200020
432210113002321013320
5112400240141423300
62043523323410440
7132220352500566
oct16442702710770
93481040565606
101001114014200
1135662a842293
12142033083a20
1373535015241
1436650392a36
151b0944698a0
hexe9170b91f8

1001114014200 has 48 divisors (see below), whose sum is σ = 3103453445880. Its totient is φ = 266963736960.

The previous prime is 1001114014177. The next prime is 1001114014213. The reversal of 1001114014200 is 24104111001.

1001114014200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001114014200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834261079 + ... + 834262278.

Almost surely, 21001114014200 is an apocalyptic number.

1001114014200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001114014200 is an abundant number, since it is smaller than the sum of its proper divisors (2102339431680).

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

1001114014200 is a wasteful number, since it uses less digits than its factorization.

1001114014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668523376 (or 1668523367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001114014200 its reverse (24104111001), we get a palindrome (1025218125201).

The spelling of 1001114014200 in words is "one trillion, one billion, one hundred fourteen million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1668523357 3337046714 5005570071 6674093428 8342616785 10011140142 13348186856 16685233570 20022280284 25027850355 33370467140 40044560568 41713083925 50055700710 66740934280 83426167850 100111401420 125139251775 166852335700 200222802840 250278503550 333704671400 500557007100 1001114014200