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202120032133032 = 233135312223030487
BaseRepresentation
bin101101111101001110111100…
…101101111001111110101000
3222111122111010120010001021020
4231331032330231321332220
5202443013311211224112
61553512354431412440
760400455550156356
oct5575167455717650
9874574116101236
10202120032133032
1159446695976282
121a804271984120
1388a1ab657b430
1437ca939bc27d6
151857914c6d48c
hexb7d3bcb79fa8

202120032133032 has 64 divisors (see below), whose sum is σ = 554436662935680. Its totient is φ = 61017368186112.

The previous prime is 202120032133001. The next prime is 202120032133049. The reversal of 202120032133032 is 230331230021202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 202120032132993 and 202120032133011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6111498708 + ... + 6111531779.

It is an arithmetic number, because the mean of its divisors is an integer number (8663072858370).

Almost surely, 2202120032133032 is an apocalyptic number.

It is an amenable number.

202120032133032 is an abundant number, since it is smaller than the sum of its proper divisors (352316630802648).

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

202120032133032 is a wasteful number, since it uses less digits than its factorization.

202120032133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223030562 (or 12223030558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 202120032133032 its reverse (230331230021202), we get a palindrome (432451262154234).

The spelling of 202120032133032 in words is "two hundred two trillion, one hundred twenty billion, thirty-two million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 16536 12223030487 24446060974 36669091461 48892121948 73338182922 97784243896 146676365844 158899396331 293352731688 317798792662 476698188993 635597585324 647820615811 953396377986 1271195170648 1295641231622 1906792755972 1943461847433 2591282463244 3813585511944 3886923694866 5182564926488 7773847389732 8421668005543 15547694779464 16843336011086 25265004016629 33686672022172 50530008033258 67373344044344 101060016066516 202120032133032