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1020412343000 = 23531915342473
BaseRepresentation
bin11101101100101010101…
…00001011001011011000
310121112212021211212222202
432312111110023023120
5113204301024434000
62100434305505332
7133502524543061
oct16662524131330
93545767755882
101020412343000
11363833190356
1214591a042248
13752bc216bcb
14375613c7568
151b8237d2dd5
hexed9550b2d8

1020412343000 has 64 divisors (see below), whose sum is σ = 2400266718720. Its totient is φ = 406027872000.

The previous prime is 1020412342967. The next prime is 1020412343009. The reversal of 1020412343000 is 3432140201.

1020412343000 is digitally balanced in base 2, because in such base 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020412343009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2480237 + ... + 2862236.

It is an arithmetic number, because the mean of its divisors is an integer number (37504167480).

Almost surely, 21020412343000 is an apocalyptic number.

1020412343000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020412343000 is an abundant number, since it is smaller than the sum of its proper divisors (1379854375720).

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

1020412343000 is a wasteful number, since it uses less digits than its factorization.

1020412343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342685 (or 5342671 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1020412343000 its reverse (3432140201), we get a palindrome (1023844483201).

The spelling of 1020412343000 in words is "one trillion, twenty billion, four hundred twelve million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 250 382 500 764 955 1000 1528 1910 3820 4775 7640 9550 19100 23875 38200 47750 95500 191000 5342473 10684946 21369892 26712365 42739784 53424730 106849460 133561825 213698920 267123650 534247300 667809125 1020412343 1068494600 1335618250 2040824686 2671236500 4081649372 5102061715 5342473000 8163298744 10204123430 20408246860 25510308575 40816493720 51020617150 102041234300 127551542875 204082468600 255103085750 510206171500 1020412343000