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132215832120 = 233523120139887
BaseRepresentation
bin111101100100010101…
…1010111111000111000
3110122021100102011212010
41323020223113320320
54131234223111440
6140423352045520
712360301013211
oct1731053277070
9418240364763
10132215832120
1151088432649
122175a9938a0
13c610c8a4b8
1465838a8408
15368c65b580
hex1ec8ad7e38

132215832120 has 128 divisors (see below), whose sum is σ = 414248048640. Its totient is φ = 33695692800.

The previous prime is 132215832041. The next prime is 132215832121. The reversal of 132215832120 is 21238512231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132215832121) 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, 3294817 + ... + 3334703.

It is an arithmetic number, because the mean of its divisors is an integer number (3236312880).

Almost surely, 2132215832120 is an apocalyptic number.

132215832120 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 132215832120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207124024320).

132215832120 is an abundant number, since it is smaller than the sum of its proper divisors (282032216520).

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

132215832120 is a wasteful number, since it uses less digits than its factorization.

132215832120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41125 (or 41121 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 132215832120 in words is "one hundred thirty-two billion, two hundred fifteen million, eight hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1201 1380 2402 2760 3603 4804 6005 7206 9608 12010 14412 18015 24020 27623 28824 36030 39887 48040 55246 72060 79774 82869 110492 119661 138115 144120 159548 165738 199435 220984 239322 276230 319096 331476 398870 414345 478644 552460 598305 662952 797740 828690 917401 957288 1104920 1196610 1595480 1657380 1834802 2393220 2752203 3314760 3669604 4587005 4786440 5504406 7339208 9174010 11008812 13761015 18348020 22017624 27522030 36696040 47904287 55044060 95808574 110088120 143712861 191617148 239521435 287425722 383234296 479042870 574851444 718564305 958085740 1101798601 1149702888 1437128610 1916171480 2203597202 2874257220 3305395803 4407194404 5508993005 5748514440 6610791606 8814388808 11017986010 13221583212 16526979015 22035972020 26443166424 33053958030 44071944040 66107916060 132215832120