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1010403341000 = 23531621623321
BaseRepresentation
bin11101011010000001011…
…10110111001011001000
310120121000202010220102222
432231000232313023020
5113023301223403000
62052101202113212
7132666510456164
oct16550056671310
93517022126388
101010403341000
1135a567387a79
121439a604b808
13743856c7211
1436c91d9dca4
151b439c47a85
hexeb40bb72c8

1010403341000 has 64 divisors (see below), whose sum is σ = 2365806184560. Its totient is φ = 403911360000.

The previous prime is 1010403340997. The next prime is 1010403341021. The reversal of 1010403341000 is 1433040101.

1010403341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 816473476 + 1009586867524 = 28574^2 + 1004782^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1010403341000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309340 + ... + 1932660.

Almost surely, 21010403341000 is an apocalyptic number.

1010403341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010403341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182903092280).

1010403341000 is an abundant number, since it is smaller than the sum of its proper divisors (1355402843560).

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

1010403341000 is a wasteful number, since it uses less digits than its factorization.

1010403341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624963 (or 624949 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1010403341000 its reverse (1433040101), we get a palindrome (1011836381101).

The spelling of 1010403341000 in words is "one trillion, ten billion, four hundred three million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1621 3242 6484 8105 12968 16210 32420 40525 64840 81050 162100 202625 324200 405250 623321 810500 1246642 1621000 2493284 3116605 4986568 6233210 12466420 15583025 24932840 31166050 62332100 77915125 124664200 155830250 311660500 623321000 1010403341 2020806682 4041613364 5052016705 8083226728 10104033410 20208066820 25260083525 40416133640 50520167050 101040334100 126300417625 202080668200 252600835250 505201670500 1010403341000