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103320301400 = 23521938370991
BaseRepresentation
bin110000000111001011…
…1101010111101011000
3100212200120101010111122
41200032113222331120
53143044444121100
6115244212344412
710315242033341
oct1401627527530
9325616333448
10103320301400
113a8aa686748
1218035915108
13998767c424
1450020030c8
152a4a99c985
hex180e5eaf58

103320301400 has 96 divisors (see below), whose sum is σ = 253526630400. Its totient is φ = 39050179200.

The previous prime is 103320301369. The next prime is 103320301471. The reversal of 103320301400 is 4103023301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419905 + ... + 1490895.

It is an arithmetic number, because the mean of its divisors is an integer number (2640902400).

Almost surely, 2103320301400 is an apocalyptic number.

103320301400 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 103320301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126763315200).

103320301400 is an abundant number, since it is smaller than the sum of its proper divisors (150206329000).

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

103320301400 is a wasteful number, since it uses less digits than its factorization.

103320301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71409 (or 71400 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 103320301400 its reverse (4103023301), we get a palindrome (107423324701).

The spelling of 103320301400 in words is "one hundred three billion, three hundred twenty million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 383 475 760 766 950 1532 1900 1915 3064 3800 3830 7277 7660 9575 14554 15320 19150 29108 36385 38300 58216 70991 72770 76600 141982 145540 181925 283964 291080 354955 363850 567928 709910 727700 1348829 1419820 1455400 1774775 2697658 2839640 3549550 5395316 6744145 7099100 10790632 13488290 14198200 26976580 27189553 33720725 53953160 54379106 67441450 108758212 134882900 135947765 217516424 269765800 271895530 516601507 543791060 679738825 1033203014 1087582120 1359477650 2066406028 2583007535 2718955300 4132812056 5166015070 5437910600 10332030140 12915037675 20664060280 25830075350 51660150700 103320301400