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132197318220 = 223511231587387
BaseRepresentation
bin111101100011110010…
…0101111111001001100
3110122020001120120120010
41323013210233321030
54131220003140340
6140421451153220
712356654443632
oct1730744577114
9418201516503
10132197318220
1151078a37900
1221754745810
13c60a1a7626
146581249352
15368ac00b80
hex1ec792fe4c

132197318220 has 144 divisors (see below), whose sum is σ = 419987119104. Its totient is φ = 31013980800.

The previous prime is 132197318207. The next prime is 132197318233. The reversal of 132197318220 is 22813791231.

It is an interprime number because it is at equal distance from previous prime (132197318207) and next prime (132197318233).

It is a super-2 number, since 2×1321973182202 (a number of 23 digits) contains 22 as substring.

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, 68634 + ... + 518753.

It is an arithmetic number, because the mean of its divisors is an integer number (2916577216).

Almost surely, 2132197318220 is an apocalyptic number.

132197318220 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 132197318220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209993559552).

132197318220 is an abundant number, since it is smaller than the sum of its proper divisors (287789800884).

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

132197318220 is a wasteful number, since it uses less digits than its factorization.

132197318220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587452 (or 587439 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 132197318220 in words is "one hundred thirty-two billion, one hundred ninety-seven million, three hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 465 484 605 620 660 682 726 930 1023 1210 1364 1452 1705 1815 1860 2046 2420 3410 3630 3751 4092 5115 6820 7260 7502 10230 11253 15004 18755 20460 22506 37510 45012 56265 75020 112530 225060 587387 1174774 1762161 2349548 2936935 3524322 5873870 6461257 7048644 8810805 11747740 12922514 17621610 18208997 19383771 25845028 32306285 35243220 36417994 38767542 54626991 64612570 71073827 72835988 77535084 91044985 96918855 109253982 129225140 142147654 182089970 193837710 200298967 213221481 218507964 273134955 284295308 355369135 364179940 387675420 400597934 426442962 546269910 600896901 710738270 801195868 852885924 1001494835 1066107405 1092539820 1201793802 1421476540 2002989670 2132214810 2203288637 2403587604 3004484505 4005979340 4264429620 4406577274 6008969010 6609865911 8813154548 11016443185 12017938020 13219731822 22032886370 26439463644 33049329555 44065772740 66098659110 132197318220