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120202021020 = 223510158733791
BaseRepresentation
bin110111111110010011…
…0010100100010011100
3102111021002022100020110
41233330212110202130
53432133204133040
6131115310250020
711453501214654
oct1577446244234
9374232270213
10120202021020
1146a829a8544
121b3674b6910
13b447ccb533
145b640d3364
1531d7aad980
hex1bfc99489c

120202021020 has 96 divisors (see below), whose sum is σ = 340487110656. Its totient is φ = 31681504000.

The previous prime is 120202021013. The next prime is 120202021031. The reversal of 120202021020 is 20120202021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120202020987 and 120202021005.

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, 3540325 + ... + 3574115.

It is an arithmetic number, because the mean of its divisors is an integer number (3546740736).

Almost surely, 2120202021020 is an apocalyptic number.

120202021020 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 120202021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170243555328).

120202021020 is an abundant number, since it is smaller than the sum of its proper divisors (220285089636).

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

120202021020 is a wasteful number, since it uses less digits than its factorization.

120202021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34491 (or 34489 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120202021020 its reverse (20120202021), we get a palindrome (140322223041).

The spelling of 120202021020 in words is "one hundred twenty billion, two hundred two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 587 606 1010 1174 1212 1515 1761 2020 2348 2935 3030 3522 5870 6060 7044 8805 11740 17610 33791 35220 59287 67582 101373 118574 135164 168955 177861 202746 237148 296435 337910 355722 405492 506865 592870 675820 711444 889305 1013730 1185740 1778610 2027460 3412891 3557220 6825782 10238673 13651564 17064455 19835317 20477346 34128910 39670634 40954692 51193365 59505951 68257820 79341268 99176585 102386730 119011902 198353170 204773460 238023804 297529755 396706340 595059510 1190119020 2003367017 4006734034 6010101051 8013468068 10016835085 12020202102 20033670170 24040404204 30050505255 40067340340 60101010510 120202021020