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245120431300 = 225217679412287
BaseRepresentation
bin1110010001001001010…
…0001111010011000100
3212102200212100002020121
43210102110033103010
513004001312300200
6304335021311324
723465212200643
oct3442224172304
9772625302217
10245120431300
1194a56103048
123b60a405544
131a165178634
14bc1473d35a
156599750e1a
hex391250f4c4

245120431300 has 144 divisors (see below), whose sum is σ = 572463859968. Its totient is φ = 90767001600.

The previous prime is 245120431291. The next prime is 245120431307. The reversal of 245120431300 is 3134021542.

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

It is not an unprimeable number, because it can be changed into a prime (245120431307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107178757 + ... + 107181043.

It is an arithmetic number, because the mean of its divisors is an integer number (3975443472).

Almost surely, 2245120431300 is an apocalyptic number.

245120431300 is a gapful number since it is divisible by the number (20) 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 245120431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286231929984).

245120431300 is an abundant number, since it is smaller than the sum of its proper divisors (327343428668).

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

245120431300 is a wasteful number, since it uses less digits than its factorization.

245120431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 245120431300 its reverse (3134021542), we get a palindrome (248254452842).

The spelling of 245120431300 in words is "two hundred forty-five billion, one hundred twenty million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 67 68 85 100 134 170 268 335 340 425 670 850 941 1139 1340 1675 1700 1882 2278 2287 3350 3764 4556 4574 4705 5695 6700 9148 9410 11390 11435 15997 18820 22780 22870 23525 28475 31994 38879 45740 47050 56950 57175 63047 63988 77758 79985 94100 113900 114350 126094 153229 155516 159970 194395 228700 252188 306458 315235 319940 388790 399925 612916 630470 766145 777580 799850 971975 1071799 1260940 1532290 1576175 1599700 1943950 2143598 2152067 2604893 3064580 3152350 3830725 3887900 4287196 4304134 5209786 5358995 6304700 7661450 8608268 10419572 10717990 10760335 13024465 15322900 21435980 21520670 26048930 26794975 36585139 43041340 52097860 53589950 53801675 65122325 73170278 107179900 107603350 130244650 144188489 146340556 182925695 215206700 260489300 288376978 365851390 576753956 720942445 731702780 914628475 1441884890 1829256950 2451204313 2883769780 3604712225 3658513900 4902408626 7209424450 9804817252 12256021565 14418848900 24512043130 49024086260 61280107825 122560215650 245120431300