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132302011340020 = 225313831408739551
BaseRepresentation
bin11110000101001111110110…
…011000111001010011110100
3122100102221121122110211021211
4132011033312120321103310
5114320114004400340040
61145214412134051204
736603335114224234
oct3605176630712364
9570387548424254
10132302011340020
1139178a71327895
1212a09023aa9b04
1358a9045562c82
142495646d5bcc4
15104672b5d78ea
hex7853f66394f4

132302011340020 has 96 divisors (see below), whose sum is σ = 287573117239296. Its totient is φ = 51075047184000.

The previous prime is 132302011339999. The next prime is 132302011340039. The reversal of 132302011340020 is 20043110203231.

It is a super-2 number, since 2×1323020113400202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132302011339973 and 132302011340000.

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, 3345079245 + ... + 3345118795.

It is an arithmetic number, because the mean of its divisors is an integer number (2995553304576).

Almost surely, 2132302011340020 is an apocalyptic number.

132302011340020 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 132302011340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143786558619648).

132302011340020 is an abundant number, since it is smaller than the sum of its proper divisors (155271105899276).

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

132302011340020 is a wasteful number, since it uses less digits than its factorization.

132302011340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54061 (or 54059 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 132302011340020 its reverse (20043110203231), we get a palindrome (152345121543251).

The spelling of 132302011340020 in words is "one hundred thirty-two trillion, three hundred two billion, eleven million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 383 620 766 1532 1915 3830 7660 11873 14087 23746 28174 39551 47492 56348 59365 70435 79102 118730 140870 158204 197755 237460 281740 395510 436697 791020 873394 1226081 1746788 2183485 2452162 4366970 4904324 5395321 6130405 8733940 10790642 12260810 15148033 21581284 24521620 26976605 30296066 53953210 60592132 75740165 107906420 151480330 167254951 302960660 334509902 469589023 557154937 669019804 836274755 939178046 1114309874 1672549510 1878356092 2228619748 2347945115 2785774685 3345099020 4695890230 5571549370 9391780460 11143098740 17271803047 34543606094 69087212188 86359015235 172718030470 213390340871 345436060940 426780681742 853561363484 1066951704355 2133903408710 4267806817420 6615100567001 13230201134002 26460402268004 33075502835005 66151005670010 132302011340020