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300040203100 = 225211229855059
BaseRepresentation
bin1000101110110111100…
…10100010101101011100
31001200110022120120000211
410113123302202231130
514403440242444400
6345500410502204
730451163434501
oct4273362425534
91050408516024
10300040203100
11106278966500
124a196a34964
13223a8266a21
14107446094a8
157c10ea0dba
hex45dbca2b5c

300040203100 has 108 divisors (see below), whose sum is σ = 740336599800. Its totient is φ = 105343145600.

The previous prime is 300040203097. The next prime is 300040203109. The reversal of 300040203100 is 1302040003.

It is a super-2 number, since 2×3000402031002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300040203109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76630 + ... + 778429.

Almost surely, 2300040203100 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 300040203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370168299900).

300040203100 is an abundant number, since it is smaller than the sum of its proper divisors (440296396700).

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

300040203100 is a wasteful number, since it uses less digits than its factorization.

300040203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855124 (or 855106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 300040203100 its reverse (1302040003), we get a palindrome (301342243103).

The spelling of 300040203100 in words is "three hundred billion, forty million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 121 145 220 242 275 290 319 484 550 580 605 638 725 1100 1210 1276 1450 1595 2420 2900 3025 3190 3509 6050 6380 7018 7975 12100 14036 15950 17545 31900 35090 70180 87725 175450 350900 855059 1710118 3420236 4275295 8550590 9405649 17101180 18811298 21376475 24796711 37622596 42752950 47028245 49593422 85505900 94056490 99186844 103462139 123983555 188112980 206924278 235141225 247967110 272763821 413848556 470282450 495934220 517310695 545527642 619917775 940564900 1034621390 1091055284 1239835550 1363819105 2069242780 2479671100 2586553475 2727638210 3000402031 5173106950 5455276420 6000804062 6819095525 10346213900 12001608124 13638191050 15002010155 27276382100 30004020310 60008040620 75010050775 150020101550 300040203100