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1020110142440 = 235184719876949
BaseRepresentation
bin11101101100000110100…
…11010111101111101000
310121112002020012111202102
432312003103113233220
5113203141144024230
62100344312352532
7133462165066634
oct16660323275750
93545066174672
101020110142440
11363698643624
121458549a5748
13752717285cc
14375331dddc4
151b806edc045
hexed834d7be8

1020110142440 has 64 divisors (see below), whose sum is σ = 2297976912000. Its totient is φ = 407559230208.

The previous prime is 1020110142433. The next prime is 1020110142449. The reversal of 1020110142440 is 442410110201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1020110142449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146796086 + ... + 146803034.

It is an arithmetic number, because the mean of its divisors is an integer number (35905889250).

Almost surely, 21020110142440 is an apocalyptic number.

1020110142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020110142440 is an abundant number, since it is smaller than the sum of its proper divisors (1277866769560).

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

1020110142440 is a wasteful number, since it uses less digits than its factorization.

1020110142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10794 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1020110142440 its reverse (442410110201), we get a palindrome (1462520252641).

The spelling of 1020110142440 in words is "one trillion, twenty billion, one hundred ten million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1847 1987 3694 3974 6949 7388 7948 9235 9935 13898 14776 15896 18470 19870 27796 34745 36940 39740 55592 69490 73880 79480 138980 277960 3669989 7339978 12834803 13807663 14679956 18349945 25669606 27615326 29359912 36699890 51339212 55230652 64174015 69038315 73399780 102678424 110461304 128348030 138076630 146799560 256696060 276153260 513392120 552306520 25502753561 51005507122 102011014244 127513767805 204022028488 255027535610 510055071220 1020110142440