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2131404123300 = 2235247346343651
BaseRepresentation
bin11111000001000001100…
…101011110110010100100
321112202112012212221122120
4133001001211132302210
5234410103423421200
64311053055225540
7306663116060244
oct37010145366244
97482465787576
102131404123300
11751a180755a1
122a50b6b182b0
13125cb52cc39a
1475236621b24
153a69924c9a0
hex1f04195eca4

2131404123300 has 144 divisors (see below), whose sum is σ = 6300035438592. Its totient is φ = 556107984000.

The previous prime is 2131404123283. The next prime is 2131404123307. The reversal of 2131404123300 is 33214041312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2131404123307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48806475 + ... + 48850125.

Almost surely, 22131404123300 is an apocalyptic number.

2131404123300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131404123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150017719296).

2131404123300 is an abundant number, since it is smaller than the sum of its proper divisors (4168631315292).

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

2131404123300 is a wasteful number, since it uses less digits than its factorization.

2131404123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47178 (or 47171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2131404123300 its reverse (33214041312), we get a palindrome (2164618164612).

The spelling of 2131404123300 in words is "two trillion, one hundred thirty-one billion, four hundred four million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3463 3525 4700 6926 7050 10389 13852 14100 17315 20778 34630 41556 43651 51945 69260 86575 87302 103890 130953 162761 173150 174604 207780 218255 259725 261906 325522 346300 436510 488283 519450 523812 651044 654765 813805 873020 976566 1038900 1091275 1309530 1627610 1953132 2051597 2182550 2441415 2619060 3255220 3273825 4069025 4103194 4365100 4882830 6154791 6547650 8138050 8206388 9765660 10257985 12207075 12309582 13095300 16276100 20515970 24414150 24619164 30773955 41031940 48828300 51289925 61547910 102579850 123095820 151163413 153869775 205159700 302326826 307739550 453490239 604653652 615479100 755817065 906980478 1511634130 1813960956 2267451195 3023268260 3779085325 4534902390 7104680411 7558170650 9069804780 11337255975 14209360822 15116341300 21314041233 22674511950 28418721644 35523402055 42628082466 45349023900 71046804110 85256164932 106570206165 142093608220 177617010275 213140412330 355234020550 426280824660 532851030825 710468041100 1065702061650 2131404123300