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10103342400 = 263252701621
BaseRepresentation
bin10010110100011010…
…01100010101000000
3222002010012222020200
421122031030111000
5131142423424100
64350313405200
7505240664514
oct113215142500
928063188220
1010103342400
114315089758
121b5b709800
13c50231418
146bbb84144
153e1ec2e00
hex25a34c540

10103342400 has 126 divisors (see below), whose sum is σ = 35909715582. Its totient is φ = 2694220800.

The previous prime is 10103342363. The next prime is 10103342419. The reversal of 10103342400 is 424330101.

It can be written as a sum of positive squares in 3 ways, for example, as 449100864 + 9654241536 = 21192^2 + 98256^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336411 + ... + 365210.

Almost surely, 210103342400 is an apocalyptic number.

10103342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103342400 is an abundant number, since it is smaller than the sum of its proper divisors (25806373182).

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

10103342400 is a wasteful number, since it uses less digits than its factorization.

10103342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701649 (or 701631 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10103342400 its reverse (424330101), we get a palindrome (10527672501).

The spelling of 10103342400 in words is "ten billion, one hundred three million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 701621 1403242 2104863 2806484 3508105 4209726 5612968 6314589 7016210 8419452 10524315 11225936 12629178 14032420 16838904 17540525 21048630 22451872 25258356 28064840 31572945 33677808 35081050 42097260 44903744 50516712 52621575 56129680 63145890 67355616 70162100 84194520 101033424 105243150 112259360 126291780 134711232 140324200 157864725 168389040 202066848 210486300 224518720 252583560 280648400 315729450 336778080 404133696 420972600 505167120 561296800 631458900 673556160 841945200 1010334240 1122593600 1262917800 1683890400 2020668480 2525835600 3367780800 5051671200 10103342400