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132221330300020 = 225134378671503317
BaseRepresentation
bin11110000100000100101101…
…011011001001110001110100
3122100011020100211212100001011
4132010010231123021301310
5114312303241024100040
61145113350211242004
736564450552546253
oct3604045533116164
9570136324770034
10132221330300020
1139147829a51335
12129b5467ba9304
1358a15582c9a10
14249179198279a
1510445a843e3ea
hex78412d6c9c74

132221330300020 has 96 divisors (see below), whose sum is σ = 306016759052928. Its totient is φ = 47678737300992.

The previous prime is 132221330299987. The next prime is 132221330300029. The reversal of 132221330300020 is 20003033122231.

It is a junction number, because it is equal to n+sod(n) for n = 132221330299964 and 132221330300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221330300029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87201402 + ... + 88704718.

It is an arithmetic number, because the mean of its divisors is an integer number (3187674573468).

Almost surely, 2132221330300020 is an apocalyptic number.

132221330300020 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 132221330300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153008379526464).

132221330300020 is an abundant number, since it is smaller than the sum of its proper divisors (173795428752908).

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

132221330300020 is a wasteful number, since it uses less digits than its factorization.

132221330300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511249 (or 1511247 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 132221330300020 its reverse (20003033122231), we get a palindrome (152224363422251).

The spelling of 132221330300020 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, three hundred thirty million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 7867 11180 15734 31468 39335 78670 102271 157340 204542 338281 409084 511355 676562 1022710 1353124 1503317 1691405 2045420 3006634 3382810 4397653 6013268 6765620 7516585 8795306 15033170 17590612 19543121 21988265 30066340 39086242 43976530 64642631 78172484 87953060 97715605 129285262 195431210 258570524 323213155 390862420 646426310 840354203 1292852620 1680708406 3361416812 4201771015 8403542030 11826594839 16807084060 23653189678 47306379356 59132974195 118265948390 153745732907 236531896780 307491465814 508543578077 614982931628 768728664535 1017087156154 1537457329070 2034174312308 2542717890385 3074914658140 5085435780770 6611066515001 10170871561540 13222133030002 26444266060004 33055332575005 66110665150010 132221330300020