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2304100101132 = 22327314919929569
BaseRepresentation
bin100001100001110111000…
…100010110110000001100
322011021021200211121002200
4201201313010112300030
5300222244111214012
64522253341321500
7325315514500134
oct41416704266014
98137250747080
102304100101132
11809188491815
12312672566290
1313937796220b
147d73a361ac4
153ee055d63dc
hex21877116c0c

2304100101132 has 144 divisors (see below), whose sum is σ = 5973731400000. Its totient is φ = 748622020608.

The previous prime is 2304100101097. The next prime is 2304100101137. The reversal of 2304100101132 is 2311010014032.

2304100101132 is a `hidden beast` number, since 23 + 0 + 410 + 0 + 101 + 132 = 666.

It is a super-3 number, since 3×23041001011323 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2304100101137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77908044 + ... + 77937612.

Almost surely, 22304100101132 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 2304100101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986865700000).

2304100101132 is an abundant number, since it is smaller than the sum of its proper divisors (3669631298868).

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

2304100101132 is a wasteful number, since it uses less digits than its factorization.

2304100101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30000 (or 29995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2304100101132 its reverse (2311010014032), we get a palindrome (4615110115164).

The spelling of 2304100101132 in words is "two trillion, three hundred four billion, one hundred million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 149 199 219 292 298 398 438 447 596 597 657 796 876 894 1194 1314 1341 1788 1791 2388 2628 2682 3582 5364 7164 10877 14527 21754 29054 29569 29651 32631 43508 43581 58108 59138 59302 65262 87162 88707 88953 97893 118276 118604 130524 130743 174324 177414 177906 195786 261486 266121 266859 354828 355812 391572 522972 532242 533718 1064484 1067436 2158537 2164523 4317074 4329046 4405781 5884231 6475611 6493569 8634148 8658092 8811562 11768462 12951222 12987138 13217343 17623124 17652693 19426833 19480707 23536924 25902444 25974276 26434686 35305386 38853666 38961414 39652029 52869372 52958079 70610772 77707332 77922828 79304058 105916158 158608116 211832316 321622013 429548863 643244026 859097726 876750419 964866039 1286488052 1288646589 1718195452 1753500838 1929732078 2577293178 2630251257 2894598117 3507001676 3859464156 3865939767 5154586356 5260502514 5789196234 7731879534 7890753771 10521005028 11578392468 15463759068 15781507542 31563015084 64002780587 128005561174 192008341761 256011122348 384016683522 576025025283 768033367044 1152050050566 2304100101132