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132002031210 = 23578919935491
BaseRepresentation
bin111101011101111101…
…1110010011001101010
3110121201110002222010220
41322323323302121222
54130320004444320
6140350233350510
712352063516020
oct1727373623152
9417643088126
10132002031210
1150a88783885
12216bb268436
13c5a88b059a
146563332710
1536789c7e40
hex1ebbef266a

132002031210 has 128 divisors (see below), whose sum is σ = 367981056000. Its totient is φ = 29682132480.

The previous prime is 132002031199. The next prime is 132002031229. The reversal of 132002031210 is 12130200231.

132002031210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132002031210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3701565 + ... + 3737055.

It is an arithmetic number, because the mean of its divisors is an integer number (2874852000).

Almost surely, 2132002031210 is an apocalyptic number.

132002031210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132002031210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183990528000).

132002031210 is an abundant number, since it is smaller than the sum of its proper divisors (235979024790).

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

132002031210 is a wasteful number, since it uses less digits than its factorization.

132002031210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35796.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132002031210 its reverse (12130200231), we get a palindrome (144132231441).

The spelling of 132002031210 in words is "one hundred thirty-two billion, two million, thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 199 210 267 398 445 534 597 623 890 995 1194 1246 1335 1393 1869 1990 2670 2786 2985 3115 3738 4179 5970 6230 6965 8358 9345 13930 17711 18690 20895 35422 35491 41790 53133 70982 88555 106266 106473 123977 177110 177455 212946 247954 248437 265665 354910 371931 496874 531330 532365 619885 743862 745311 1064730 1239770 1242185 1490622 1859655 2484370 3158699 3719310 3726555 6317398 7062709 7453110 9476097 14125418 15793495 18952194 21188127 22110893 31586990 35313545 42376254 44221786 47380485 49438963 66332679 70627090 94760970 98877926 105940635 110554465 132665358 148316889 211881270 221108930 247194815 296633778 331663395 494389630 628581101 663326790 741584445 1257162202 1483168890 1885743303 3142905505 3771486606 4400067707 6285811010 8800135414 9428716515 13200203121 18857433030 22000338535 26400406242 44000677070 66001015605 132002031210