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2000000101032 = 233419369123143
BaseRepresentation
bin11101000110101001010…
…010111010101010101000
321002012100110000222120000
4131012221102322222220
5230232000011213112
64130442023103000
7264331603235433
oct35065122725250
97065313028500
102000000101032
11701216a0a78a
12283743ba1a60
131167a359b35b
146cb2c8b881a
1537057eec7dc
hex1d1a94baaa8

2000000101032 has 160 divisors (see below), whose sum is σ = 5639269817280. Its totient is φ = 662224066560.

The previous prime is 2000000101031. The next prime is 2000000101049. The reversal of 2000000101032 is 2301010000002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2000000101031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86407653 + ... + 86430795.

It is an arithmetic number, because the mean of its divisors is an integer number (35245436358).

Almost surely, 22000000101032 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 2000000101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819634908640).

2000000101032 is an abundant number, since it is smaller than the sum of its proper divisors (3639269716248).

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

2000000101032 is a wasteful number, since it uses less digits than its factorization.

2000000101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24045 (or 24032 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2000000101032 its reverse (2301010000002), we get a palindrome (4301010101034).

The spelling of 2000000101032 in words is "two trillion, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 193 216 324 386 579 648 691 772 1158 1382 1544 1737 2073 2316 2764 3474 4146 4632 5211 5528 6219 6948 8292 10422 12438 13896 15633 16584 18657 20844 23143 24876 31266 37314 41688 46286 49752 55971 62532 69429 74628 92572 111942 125064 133363 138858 149256 185144 208287 223884 266726 277716 400089 416574 447768 533452 555432 624861 800178 833148 1066904 1200267 1249722 1600356 1666296 1874583 2400534 2499444 3200712 3600801 3749166 4466599 4801068 4998888 7201602 7498332 8933198 9602136 10802403 13399797 14403204 14996664 15991813 17866396 21604806 26799594 28806408 31983626 35732792 40199391 43209612 47975439 53599188 63967252 80398782 86419224 95950878 107198376 120598173 127934504 143926317 160797564 191901756 241196346 287852634 321595128 361794519 383803512 431778951 482392692 575705268 723589038 863557902 964785384 1151410536 1295336853 1447178076 1727115804 2590673706 2894356152 3086419909 3454231608 5181347412 6172839818 9259259727 10362694824 12345679636 18518519454 24691359272 27777779181 37037038908 55555558362 74074077816 83333337543 111111116724 166666675086 222222233448 250000012629 333333350172 500000025258 666666700344 1000000050516 2000000101032