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300030020100 = 223252333366689
BaseRepresentation
bin1000101110110110010…
…11101100101000000100
31001200102121102012120200
410113123023230220010
514403430141120400
6345455404330500
730451011043446
oct4273313545004
91050377365520
10300030020100
111062731408a8
124a193543a30
13223a610ca95
1410743118496
157c1013db00
hex45db2eca04

300030020100 has 54 divisors (see below), whose sum is σ = 940427432490. Its totient is φ = 80008005120.

The previous prime is 300030020029. The next prime is 300030020117. The reversal of 300030020100 is 1020030003.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 96353856 + 299933666244 = 9816^2 + 547662^2 .

It is a super-2 number, since 2×3000300201002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166682445 + ... + 166684244.

Almost surely, 2300030020100 is an apocalyptic number.

300030020100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300030020100 is an abundant number, since it is smaller than the sum of its proper divisors (640397412390).

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

300030020100 is a wasteful number, since it uses less digits than its factorization.

300030020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333366709 (or 333366699 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 300030020100 its reverse (1020030003), we get a palindrome (301050050103).

The spelling of 300030020100 in words is "three hundred billion, thirty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 333366689 666733378 1000100067 1333466756 1666833445 2000200134 3000300201 3333666890 4000400268 5000500335 6000600402 6667333780 8334167225 10001000670 12001200804 15001501005 16668334450 20002001340 25002501675 30003002010 33336668900 50005003350 60006004020 75007505025 100010006700 150015010050 300030020100