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132220225333120 = 2751995032063939
BaseRepresentation
bin11110000100000011101011…
…100100000010011110000000
3122100011010111211200012102011
4132010003223210002132000
5114312244010141124440
61145113044420102304
736564411304515361
oct3604035344023600
9570133454605364
10132220225333120
1139147312254351
12129b51b9b34994
1358a14103ca352
1424916c8d0db68
1510445414269ea
hex7840eb902780

132220225333120 has 128 divisors (see below), whose sum is σ = 318309082560000. Its totient is φ = 52517678450688.

The previous prime is 132220225333039. The next prime is 132220225333169. The reversal of 132220225333120 is 21333522022231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63030111 + ... + 65094049.

It is an arithmetic number, because the mean of its divisors is an integer number (2486789707500).

Almost surely, 2132220225333120 is an apocalyptic number.

132220225333120 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 132220225333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159154541280000).

132220225333120 is an abundant number, since it is smaller than the sum of its proper divisors (186088857226880).

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

132220225333120 is a wasteful number, since it uses less digits than its factorization.

132220225333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064660 (or 2064648 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 132220225333120 its reverse (21333522022231), we get a palindrome (153553747355351).

The spelling of 132220225333120 in words is "one hundred thirty-two trillion, two hundred twenty billion, two hundred twenty-five million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 320 398 503 640 796 995 1006 1592 1990 2012 2515 3184 3980 4024 5030 6368 7960 8048 10060 12736 15920 16096 20120 25472 31840 32192 40240 63680 64384 80480 100097 127360 160960 200194 321920 400388 500485 800776 1000970 1601552 2001940 2063939 3203104 4003880 4127878 6406208 8007760 8255756 10319695 12812416 16015520 16511512 20639390 32031040 33023024 41278780 64062080 66046048 82557560 132092096 165115120 264184192 330230240 410723861 660460480 821447722 1038161317 1320920960 1642895444 2053619305 2076322634 3285790888 4107238610 4152645268 5190806585 6571581776 8214477220 8305290536 10381613170 13143163552 16428954440 16610581072 20763226340 26286327104 32857908880 33221162144 41526452680 52572654208 65715817760 66442324288 83052905360 131431635520 132884648576 166105810720 206594102083 262863271040 332211621440 413188204166 664423242880 826376408332 1032970510415 1652752816664 2065941020830 3305505633328 4131882041660 6611011266656 8263764083320 13222022533312 16527528166640 26444045066624 33055056333280 66110112666560 132220225333120