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200011234032 = 24328323970019
BaseRepresentation
bin1011101001000110011…
…0010011101011110000
3201010021010102102200200
42322101212103223300
511234110333442112
6231514530515200
720310315303201
oct2722146235360
9633233372620
10200011234032
1177908144525
123291b435b00
1315b2675362c
1499757a75a8
155309442cdc
hex2e91993af0

200011234032 has 120 divisors (see below), whose sum is σ = 568876089600. Its totient is φ = 65590621824.

The previous prime is 200011234013. The next prime is 200011234069. The reversal of 200011234032 is 230432110002.

200011234032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200011233996 and 200011234014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2821519 + ... + 2891537.

It is an arithmetic number, because the mean of its divisors is an integer number (4740634080).

Almost surely, 2200011234032 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 200011234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284438044800).

200011234032 is an abundant number, since it is smaller than the sum of its proper divisors (368864855568).

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

200011234032 is a wasteful number, since it uses less digits than its factorization.

200011234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70355 (or 70346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200011234032 its reverse (230432110002), we get a palindrome (430443344034).

The spelling of 200011234032 in words is "two hundred billion, eleven million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 239 249 332 478 498 664 717 747 956 996 1328 1434 1494 1912 1992 2151 2868 2988 3824 3984 4302 5736 5976 8604 11472 11952 17208 19837 34416 39674 59511 70019 79348 119022 140038 158696 178533 210057 238044 280076 317392 357066 420114 476088 560152 630171 714132 840228 952176 1120304 1260342 1428264 1680456 2520684 2856528 3360912 5041368 5811577 10082736 11623154 16734541 17434731 23246308 33469082 34869462 46492616 50203623 52304193 66938164 69738924 92985232 100407246 104608386 133876328 139477848 150610869 200814492 209216772 267752656 278955696 301221738 401628984 418433544 602443476 803257968 836867088 1204886952 1388966903 2409773904 2777933806 4166900709 5555867612 8333801418 11111735224 12500702127 16667602836 22223470448 25001404254 33335205672 50002808508 66670411344 100005617016 200011234032