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3000101100020 = 225313479249377
BaseRepresentation
bin101011101010000011111…
…101011101100111110100
3101121210210012111200121022
4223222003331131213310
5343123201340200040
610214121042240312
7426515205410243
oct53520375354764
911553705450538
103000101100020
11a57376949712
12405533956098
13189ba676a2bb
14a52c44d295a
155308d5646b5
hex2ba83f5d9f4

3000101100020 has 24 divisors (see below), whose sum is σ = 6320340797064. Its totient is φ = 1196206442496.

The previous prime is 3000101100013. The next prime is 3000101100047. The reversal of 3000101100020 is 200011010003.

It can be written as a sum of positive squares in 4 ways, for example, as 74448213904 + 2925652886116 = 272852^2 + 1710454^2 .

It is a super-4 number, since 4×30001011000204 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3000101099980 and 3000101100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239618429 + ... + 239630948.

It is an arithmetic number, because the mean of its divisors is an integer number (263347533211).

Almost surely, 23000101100020 is an apocalyptic number.

It is an amenable number.

3000101100020 is an abundant number, since it is smaller than the sum of its proper divisors (3320239697044).

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

3000101100020 is a wasteful number, since it uses less digits than its factorization.

3000101100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479249699 (or 479249697 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 3000101100020 its reverse (200011010003), we get a palindrome (3200112110023).

The spelling of 3000101100020 in words is "three trillion, one hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 479249377 958498754 1916997508 2396246885 4792493770 9584987540 150005055001 300010110002 600020220004 750025275005 1500050550010 3000101100020