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1110001213000 = 23531765294189
BaseRepresentation
bin10000001001110001001…
…110100101111001001000
310221010002220010000210001
4100021301032211321020
5121141240302304000
62205532202132344
7143123602430641
oct20116116457110
93833086100701
101110001213000
11398826824389
1215b1611b10b4
1380898acb8a4
143ba1d8646c8
151dd189ed46a
hex102713a5e48

1110001213000 has 64 divisors (see below), whose sum is σ = 2750191282800. Its totient is φ = 417882803200.

The previous prime is 1110001212973. The next prime is 1110001213007. The reversal of 1110001213000 is 3121000111.

It can be written as a sum of positive squares in 8 ways, for example, as 150694581636 + 959306631364 = 388194^2 + 979442^2 .

It is a super-2 number, since 2×11100012130002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1110001213007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32630095 + ... + 32664094.

Almost surely, 21110001213000 is an apocalyptic number.

1110001213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110001213000 is an abundant number, since it is smaller than the sum of its proper divisors (1640190069800).

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

1110001213000 is a wasteful number, since it uses less digits than its factorization.

1110001213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65294227 (or 65294213 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1110001213000 its reverse (3121000111), we get a palindrome (1113122213111).

The spelling of 1110001213000 in words is "one trillion, one hundred ten billion, one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 65294189 130588378 261176756 326470945 522353512 652941890 1110001213 1305883780 1632354725 2220002426 2611767560 3264709450 4440004852 5550006065 6529418900 8161773625 8880009704 11100012130 13058837800 16323547250 22200024260 27750030325 32647094500 44400048520 55500060650 65294189000 111000121300 138750151625 222000242600 277500303250 555000606500 1110001213000