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100214404201230 = 235112531852114081
BaseRepresentation
bin10110110010010011111011…
…111101101011101100001110
3111010211101220010122110012120
4112302103323331223230032
5101113403044433414410
6553045510044513410
730052152233605104
oct2662237375535416
9433741803573176
10100214404201230
1129a27765650a10
12b2a628124b866
1343bc2407268c7
141aa658dd45c74
15b8bc175ba570
hex5b24fbf6bb0e

100214404201230 has 128 divisors (see below), whose sum is σ = 262532644756992. Its totient is φ = 24280227840000.

The previous prime is 100214404201199. The next prime is 100214404201231. The reversal of 100214404201230 is 32102404412001.

It is a self number, because there is not a number n which added to its sum of digits gives 100214404201230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100214404201231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7116987790 + ... + 7117001870.

It is an arithmetic number, because the mean of its divisors is an integer number (2051036287164).

Almost surely, 2100214404201230 is an apocalyptic number.

100214404201230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100214404201230 is an abundant number, since it is smaller than the sum of its proper divisors (162318240555762).

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

100214404201230 is a wasteful number, since it uses less digits than its factorization.

100214404201230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25154.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100214404201230 its reverse (32102404412001), we get a palindrome (132316808613231).

The spelling of 100214404201230 in words is "one hundred trillion, two hundred fourteen billion, four hundred four million, two hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2531 5062 7593 8521 12655 14081 15186 17042 25310 25563 27841 28162 37965 42243 42605 51126 55682 70405 75930 83523 84486 85210 93731 127815 139205 140810 154891 167046 187462 211215 255630 278410 281193 309782 417615 422430 464673 468655 562386 774455 835230 929346 937310 1405965 1548910 2323365 2811930 4646730 21566651 35639011 43133302 64699953 71278022 106917033 107833255 119984201 129399906 178195055 213834066 215666510 237233161 239968402 323499765 356390110 359952603 392029121 474466322 534585165 599921005 646999530 711699483 719905206 784058242 1069170330 1176087363 1186165805 1199842010 1319826211 1423398966 1799763015 1960145605 2352174726 2372331610 2639652422 3558497415 3599526030 3920291210 3959478633 5880436815 6599131055 7116994830 7918957266 11760873630 13198262110 19797393165 39594786330 303680012731 607360025462 911040038193 1518400063655 1822080076386 3036800127310 3340480140041 4555200190965 6680960280082 9110400381930 10021440420123 16702400700205 20042880840246 33404801400410 50107202100615 100214404201230