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132210231000 = 23353320313759
BaseRepresentation
bin111101100100001011…
…0000000011011011000
3110122020221212121120020
41323020112000123120
54131231304343000
6140423032030440
712360202264341
oct1731026003330
9418227777506
10132210231000
1151085257421
1221758b32420
13c60ca78c23
146582c4b0c8
15368be01ba0
hex1ec85806d8

132210231000 has 128 divisors (see below), whose sum is σ = 412654694400. Its totient is φ = 35242492800.

The previous prime is 132210230909. The next prime is 132210231011. The reversal of 132210231000 is 132012231.

It is a super-2 number, since 2×1322102310002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9602121 + ... + 9615879.

It is an arithmetic number, because the mean of its divisors is an integer number (3223864800).

Almost surely, 2132210231000 is an apocalyptic number.

132210231000 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 132210231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206327347200).

132210231000 is an abundant number, since it is smaller than the sum of its proper divisors (280444463400).

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

132210231000 is a wasteful number, since it uses less digits than its factorization.

132210231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16986 (or 16972 counting only the distinct ones).

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

Adding to 132210231000 its reverse (132012231), we get a palindrome (132342243231).

The spelling of 132210231000 in words is "one hundred thirty-two billion, two hundred ten million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3203 6406 9609 12812 13759 16015 19218 25624 27518 32030 38436 41277 48045 55036 64060 68795 76872 80075 82554 96090 110072 128120 137590 160150 165108 192180 206385 240225 275180 320300 330216 343975 384360 400375 412770 480450 550360 640600 687950 800750 825540 960900 1031925 1201125 1375900 1601500 1651080 1719875 1921800 2063850 2402250 2751800 3203000 3439750 4127700 4804500 5159625 6879500 8255400 9609000 10319250 13759000 20638500 41277000 44070077 88140154 132210231 176280308 220350385 264420462 352560616 440700770 528840924 661051155 881401540 1057681848 1101751925 1322102310 1762803080 2203503850 2644204620 3305255775 4407007700 5288409240 5508759625 6610511550 8814015400 11017519250 13221023100 16526278875 22035038500 26442046200 33052557750 44070077000 66105115500 132210231000