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30100200040 = 2353795321341
BaseRepresentation
bin11100000010000111…
…001001101001101000
32212200201211120222201
4130002013021221220
5443121122400130
621454451425544
72113624323151
oct340207115150
985621746881
1030100200040
1111846861889
125a005b52b4
132ab9078971
14165788c928
15bb281cbca
hex7021c9a68

30100200040 has 64 divisors (see below), whose sum is σ = 69632116560. Its totient is φ = 11701831680.

The previous prime is 30100200019. The next prime is 30100200041. The reversal of 30100200040 is 4000200103.

It can be written as a sum of positive squares in 8 ways, for example, as 27258670404 + 2841529636 = 165102^2 + 53306^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (30100200041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399770 + ... + 1421110.

Almost surely, 230100200040 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 30100200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34816058280).

30100200040 is an abundant number, since it is smaller than the sum of its proper divisors (39531916520).

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

30100200040 is a wasteful number, since it uses less digits than its factorization.

30100200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22342 (or 22338 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 30100200040 its reverse (4000200103), we get a palindrome (34100400143).

The spelling of 30100200040 in words is "thirty billion, one hundred million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 953 1480 1906 3812 4765 7624 9530 19060 21341 35261 38120 42682 70522 85364 106705 141044 170728 176305 213410 282088 352610 426820 705220 789617 853640 1410440 1579234 3158468 3948085 6316936 7896170 15792340 20337973 31584680 40675946 81351892 101689865 162703784 203379730 406759460 752505001 813518920 1505010002 3010020004 3762525005 6020040008 7525050010 15050100020 30100200040