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132143213300 = 225272331264763
BaseRepresentation
bin111101100010001011…
…0010110101011110100
3110122002021202202120012
41323010112112223310
54131112130311200
6140412235355352
712355426531430
oct1730426265364
9418067682505
10132143213300
1151050442a9a
122173a5b2b58
13c5cbc12997
146577da39c0
1536860b4a35
hex1ec4596af4

132143213300 has 144 divisors (see below), whose sum is σ = 352996073472. Its totient is φ = 41938300800.

The previous prime is 132143213203. The next prime is 132143213387. The reversal of 132143213300 is 3312341231.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 366719 + ... + 631481.

Almost surely, 2132143213300 is an apocalyptic number.

132143213300 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 132143213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176498036736).

132143213300 is an abundant number, since it is smaller than the sum of its proper divisors (220852860172).

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

132143213300 is a wasteful number, since it uses less digits than its factorization.

132143213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264838 (or 264831 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132143213300 its reverse (3312341231), we get a palindrome (135455554531).

The spelling of 132143213300 in words is "one hundred thirty-two billion, one hundred forty-three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 31 35 46 50 62 70 92 100 115 124 140 155 161 175 217 230 310 322 350 434 460 575 620 644 700 713 775 805 868 1085 1150 1426 1550 1610 2170 2300 2852 3100 3220 3565 4025 4340 4991 5425 7130 8050 9982 10850 14260 16100 17825 19964 21700 24955 35650 49910 71300 99820 124775 249550 264763 499100 529526 1059052 1323815 1853341 2647630 3706682 5295260 6089549 6619075 7413364 8207653 9266705 12179098 13238150 16415306 18533410 24358196 26476300 30447745 32830612 37066820 41038265 42626843 46333525 57453571 60895490 82076530 85253686 92667050 114907142 121790980 152238725 164153060 170507372 185334100 188776019 205191325 213134215 229814284 287267855 304477450 377552038 410382650 426268430 574535710 608954900 755104076 820765300 852536860 943880095 1065671075 1149071420 1321432133 1436339275 1887760190 2131342150 2642864266 2872678550 3775520380 4262684300 4719400475 5285728532 5745357100 6607160665 9438800950 13214321330 18877601900 26428642660 33035803325 66071606650 132143213300