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1412213324100 = 2235261242331849
BaseRepresentation
bin10100100011001110011…
…110010011100101000100
312000000011120111221110220
4110203032132103211010
5141114203102332400
63000432320344340
7204012651123645
oct24431636234504
95000146457426
101412213324100
114a4a09672477
121a98434750b0
13a322c00c577
144c4cc6b76cc
1526b054bc7a0
hex148ce793944

1412213324100 has 144 divisors (see below), whose sum is σ = 4154831990400. Its totient is φ = 370252108800.

The previous prime is 1412213324059. The next prime is 1412213324111. The reversal of 1412213324100 is 14233122141.

It is an unprimeable number.

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, 44324976 + ... + 44356824.

Almost surely, 21412213324100 is an apocalyptic number.

1412213324100 is a gapful number since it is divisible by the number (10) 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 1412213324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077415995200).

1412213324100 is an abundant number, since it is smaller than the sum of its proper divisors (2742618666300).

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

1412213324100 is a wasteful number, since it uses less digits than its factorization.

1412213324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34350 (or 34343 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1412213324100 its reverse (14233122141), we get a palindrome (1426446446241).

The spelling of 1412213324100 in words is "one trillion, four hundred twelve billion, two hundred thirteen million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 2423 3050 3660 4575 4846 6100 7269 9150 9692 12115 14538 18300 24230 29076 31849 36345 48460 60575 63698 72690 95547 121150 127396 145380 147803 159245 181725 191094 242300 295606 318490 363450 382188 443409 477735 591212 636980 726900 739015 796225 886818 955470 1478030 1592450 1773636 1910940 1942789 2217045 2388675 2956060 3184900 3695075 3885578 4434090 4777350 5828367 7390150 7771156 8868180 9554700 9713945 11085225 11656734 14780300 19427890 22170450 23313468 29141835 38855780 44340900 48569725 58283670 77170127 97139450 116567340 145709175 154340254 194278900 231510381 291418350 308680508 385850635 463020762 582836700 771701270 926041524 1157551905 1543402540 1929253175 2315103810 3858506350 4630207620 4707377747 5787759525 7717012700 9414755494 11575519050 14122133241 18829510988 23151038100 23536888735 28244266482 47073777470 56488532964 70610666205 94147554940 117684443675 141221332410 235368887350 282442664820 353053331025 470737774700 706106662050 1412213324100