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120032202003020 = 225299531237317551
BaseRepresentation
bin11011010010101100101100…
…110000110001001001001100
3120201222222002112112021120222
4123102230230300301021030
5111213101422203044040
61103142010553330512
734166016601533656
oct3322545460611114
9521888075467528
10120032202003020
113527840988574a
1211567065706a38
1351c8caca75028
14218d837b176d6
15dd24a6744bb5
hex6d2b2cc3124c

120032202003020 has 96 divisors (see below), whose sum is σ = 261069202033920. Its totient is φ = 46302239692800.

The previous prime is 120032202003001. The next prime is 120032202003187. The reversal of 120032202003020 is 20300202230021.

It is a self number, because there is not a number n which added to its sum of digits gives 120032202003020.

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, 6839043245 + ... + 6839060795.

It is an arithmetic number, because the mean of its divisors is an integer number (2719470854520).

Almost surely, 2120032202003020 is an apocalyptic number.

120032202003020 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 120032202003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130534601016960).

120032202003020 is an abundant number, since it is smaller than the sum of its proper divisors (141037000030900).

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

120032202003020 is a wasteful number, since it uses less digits than its factorization.

120032202003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30915 (or 30913 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 120032202003020 its reverse (20300202230021), we get a palindrome (140332404233041).

The spelling of 120032202003020 in words is "one hundred twenty trillion, thirty-two billion, two hundred two million, three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 953 1906 3812 4765 9530 12373 17551 19060 24746 27637 35102 49492 55274 61865 70204 87755 110548 123730 138185 175510 247460 276370 351020 358817 508979 552740 717634 1017958 1435268 1794085 2035916 2544895 3588170 5089790 7176340 10179580 11791469 16726103 23582938 33452206 47165876 58957345 66904412 83630515 117914690 167261030 217158523 235829380 334522060 341952601 434317046 485056987 683905202 868634092 970113974 1085792615 1367810404 1709763005 1940227948 2171585230 2425284935 3419526010 4343170460 4850569870 6297597167 6839052020 9701139740 12595194334 25190388668 31487985835 62975971670 125951943340 206952072419 413904144838 827808289676 1034760362095 2069520724190 4139041448380 6001610100151 12003220200302 24006440400604 30008050500755 60016101001510 120032202003020