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103301004400 = 24521129809569
BaseRepresentation
bin110000000110100111…
…0000011110001110000
3100212122020001201222221
41200031032003301300
53143030024120100
6115242243010424
710314616023016
oct1401516036160
9325566051887
10103301004400
113a89a7a6610
121802b369a14
139983683c99
144ddd61c8b6
152a48e3a01a
hex180d383c70

103301004400 has 120 divisors (see below), whose sum is σ = 280078837200. Its totient is φ = 36268646400.

The previous prime is 103301004397. The next prime is 103301004409. The reversal of 103301004400 is 4400103301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103301004409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277185 + ... + 532384.

It is an arithmetic number, because the mean of its divisors is an integer number (2333990310).

Almost surely, 2103301004400 is an apocalyptic number.

103301004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301004400 is an abundant number, since it is smaller than the sum of its proper divisors (176777832800).

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

103301004400 is a wasteful number, since it uses less digits than its factorization.

103301004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809627 (or 809616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103301004400 its reverse (4400103301), we get a palindrome (107701107701).

The spelling of 103301004400 in words is "one hundred three billion, three hundred one million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 880 1100 1160 1276 1450 1595 2200 2320 2552 2900 3190 4400 5104 5800 6380 7975 11600 12760 15950 25520 31900 63800 127600 809569 1619138 3238276 4047845 6476552 8095690 8905259 12953104 16191380 17810518 20239225 23477501 32382760 35621036 40478450 44526295 46955002 64765520 71242072 80956900 89052590 93910004 117387505 142484144 161913800 178105180 187820008 222631475 234775010 258252511 323827600 356210360 375640016 445262950 469550020 516505022 586937525 712420720 890525900 939100040 1033010044 1173875050 1291262555 1781051800 1878200080 2066020088 2347750100 2582525110 3562103600 4132040176 4695500200 5165050220 6456312775 9391000400 10330100440 12912625550 20660200880 25825251100 51650502200 103301004400