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132301301032020 = 223567280311741267
BaseRepresentation
bin11110000101001111001100…
…000011010010010001010100
3122100102212210010220102220010
4132011033030003102101110
5114320111031031011040
61145214213441440220
736603311400551361
oct3605171403222124
9570385703812803
10132301301032020
113917873738798a
1212a08a66040070
1358a8c61354a93
1424955ba89d468
1510466d907ae80
hex7853cc0d2454

132301301032020 has 96 divisors (see below), whose sum is σ = 376106816752128. Its totient is φ = 34741372862592.

The previous prime is 132301301032013. The next prime is 132301301032027. The reversal of 132301301032020 is 20230103103231.

It is an interprime number because it is at equal distance from previous prime (132301301032013) and next prime (132301301032027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132301301032027) 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, 5397427 + ... + 17138693.

It is an arithmetic number, because the mean of its divisors is an integer number (3917779341168).

Almost surely, 2132301301032020 is an apocalyptic number.

132301301032020 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 132301301032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188053408376064).

132301301032020 is an abundant number, since it is smaller than the sum of its proper divisors (243805515720108).

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

132301301032020 is a wasteful number, since it uses less digits than its factorization.

132301301032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744149 (or 11744147 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132301301032020 its reverse (20230103103231), we get a palindrome (152531404135251).

The spelling of 132301301032020 in words is "one hundred thirty-two trillion, three hundred one billion, three hundred one million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 2803 4020 5606 8409 11212 14015 16818 28030 33636 42045 56060 84090 168180 187801 375602 563403 751204 939005 1126806 1878010 2253612 2817015 3756020 5634030 11268060 11741267 23482534 35223801 46965068 58706335 70447602 117412670 140895204 176119005 234825340 352238010 704476020 786664889 1573329778 2359994667 3146659556 3933324445 4719989334 7866648890 9439978668 11799973335 15733297780 23599946670 32910771401 47199893340 65821542802 98732314203 131643085604 164553857005 197464628406 329107714010 394929256812 493661571015 658215428020 987323142030 1974646284060 2205021683867 4410043367734 6615065051601 8820086735468 11025108419335 13230130103202 22050216838670 26460260206404 33075325258005 44100433677340 66150650516010 132301301032020