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10112312322300 = 22352313133473947
BaseRepresentation
bin1001001100100111010011…
…0010001010100011111100
31022210201122102200101002010
42103021310302022203330
52311140003423303200
633301310535531220
72062406345340216
oct223116462124374
938721572611063
1010112312322300
1132496757510a1
121173a00b29b10
13584782723176
1426d61d46b5b6
151280a0043150
hex93274c8a8fc

10112312322300 has 144 divisors (see below), whose sum is σ = 30298607209472. Its totient is φ = 2601290764800.

The previous prime is 10112312322293. The next prime is 10112312322347. The reversal of 10112312322300 is 322321321101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173927 + ... + 4647873.

Almost surely, 210112312322300 is an apocalyptic number.

10112312322300 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 10112312322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149303604736).

10112312322300 is an abundant number, since it is smaller than the sum of its proper divisors (20186294887172).

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

10112312322300 is a wasteful number, since it uses less digits than its factorization.

10112312322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474308 (or 3474301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10112312322300 its reverse (322321321101), we get a palindrome (10434633643401).

The spelling of 10112312322300 in words is "ten trillion, one hundred twelve billion, three hundred twelve million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 313 372 465 620 626 775 930 939 1252 1550 1565 1860 1878 2325 3100 3130 3756 4650 4695 6260 7825 9300 9390 9703 15650 18780 19406 23475 29109 31300 38812 46950 48515 58218 93900 97030 116436 145545 194060 242575 291090 485150 582180 727725 970300 1455450 2910900 3473947 6947894 10421841 13895788 17369735 20843682 34739470 41687364 52109205 69478940 86848675 104218410 107692357 173697350 208436820 215384714 260546025 323077071 347394700 430769428 521092050 538461785 646154142 1042184100 1076923570 1087345411 1292308284 1615385355 2153847140 2174690822 2692308925 3230770710 3262036233 4349381644 5384617850 5436727055 6461541420 6524072466 8076926775 10769235700 10873454110 13048144932 16153853550 16310181165 21746908220 27183635275 32307707100 32620362330 33707707741 54367270550 65240724660 67415415482 81550905825 101123123223 108734541100 134830830964 163101811650 168538538705 202246246446 326203623300 337077077410 404492492892 505615616115 674154154820 842692693525 1011231232230 1685385387050 2022462464460 2528078080575 3370770774100 5056156161150 10112312322300