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1023303045400 = 2352373132710337
BaseRepresentation
bin11101110010000011001…
…11010101000100011000
310121211022202012210012121
432321001213111010120
5113231211034423100
62102033211351024
7133634255240626
oct16710147250430
93554282183177
101023303045400
11364a869898a9
121463a6152474
13756600809bc
143775729c516
151b94248751a
hexee419d5118

1023303045400 has 96 divisors (see below), whose sum is σ = 2387586738240. Its totient is φ = 407876751360.

The previous prime is 1023303045287. The next prime is 1023303045431. The reversal of 1023303045400 is 45403033201.

It is a super-2 number, since 2×10233030454002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98989032 + ... + 98999368.

It is an arithmetic number, because the mean of its divisors is an integer number (24870695190).

Almost surely, 21023303045400 is an apocalyptic number.

1023303045400 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 1023303045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193793369120).

1023303045400 is an abundant number, since it is smaller than the sum of its proper divisors (1364283692840).

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

1023303045400 is a wasteful number, since it uses less digits than its factorization.

1023303045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12053 (or 12044 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 1023303045400 its reverse (45403033201), we get a palindrome (1068706078601).

The spelling of 1023303045400 in words is "one trillion, twenty-three billion, three hundred three million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1327 1492 1865 2654 2984 3730 5308 6635 7460 9325 10337 10616 13270 14920 18650 20674 26540 33175 37300 41348 51685 53080 66350 74600 82696 103370 132700 206740 258425 265400 413480 494971 516850 989942 1033700 1979884 2067400 2474855 3855701 3959768 4949710 7711402 9899420 12374275 13717199 15422804 19278505 19798840 24748550 27434398 30845608 38557010 49497100 54868796 68585995 77114020 96392525 98994200 109737592 137171990 154228040 192785050 274343980 342929975 385570100 548687960 685859950 771140200 1371719900 2743439800 5116515227 10233030454 20466060908 25582576135 40932121816 51165152270 102330304540 127912880675 204660609080 255825761350 511651522700 1023303045400