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401302120332 = 223198938950839
BaseRepresentation
bin1011101011011110111…
…10000110011110001100
31102100211102201221021210
411311233132012132030
523033331320322312
6504204453054420
740664432512131
oct5655736063614
91370742657253
10401302120332
11145211648703
1265937327410
132bac5339449
14155cd0b6588
15a68ada6e3c
hex5d6f78678c

401302120332 has 96 divisors (see below), whose sum is σ = 999311040000. Its totient is φ = 124978512384.

The previous prime is 401302120273. The next prime is 401302120333. The reversal of 401302120332 is 233021203104.

It is a super-2 number, since 2×4013021203322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401302120299 and 401302120308.

It is not an unprimeable number, because it can be changed into a prime (401302120333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7868169 + ... + 7919007.

It is an arithmetic number, because the mean of its divisors is an integer number (10409490000).

Almost surely, 2401302120332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401302120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499655520000).

401302120332 is an abundant number, since it is smaller than the sum of its proper divisors (598008919668).

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

401302120332 is a wasteful number, since it uses less digits than its factorization.

401302120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51343 (or 51341 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 401302120332 its reverse (233021203104), we get a palindrome (634323323436).

The spelling of 401302120332 in words is "four hundred one billion, three hundred two million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 389 534 778 1068 1167 1556 1691 2334 3382 4668 5073 6764 7391 10146 14782 20292 22173 29564 34621 44346 50839 69242 88692 101678 103863 138484 152517 203356 207726 305034 415452 610068 657799 965941 1315598 1931882 1973397 2631196 2897823 3863764 3946794 4524671 5795646 7893588 9049342 11591292 13574013 18098684 19776371 27148026 39552742 54296052 59329113 79105484 85968749 118658226 171937498 237316452 257906247 343874996 375751049 515812494 751502098 1031624988 1127253147 1503004196 1760097019 2254506294 3520194038 4509012588 5280291057 7040388076 10560582114 21121164228 33441843361 66883686722 100325530083 133767373444 200651060166 401302120332