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100114120421304 = 2331112591609118719
BaseRepresentation
bin10110110000110110100010…
…100101011010111110111000
3111010110211001012000121002020
4112300312202211122332320
5101110232204311440204
6552531443023234440
730042002142543633
oct2660664245327670
9433424035017066
10100114120421304
112999918400a850
12b28a954448a20
1343b294b1a8162
141aa1799334c1a
15b892e84c7bd9
hex5b0da295afb8

100114120421304 has 128 divisors (see below), whose sum is σ = 273286960128000. Its totient is φ = 30310012476800.

The previous prime is 100114120421303. The next prime is 100114120421309. The reversal of 100114120421304 is 403124021411001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100114120421303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5348252857 + ... + 5348271575.

It is an arithmetic number, because the mean of its divisors is an integer number (2135054376000).

Almost surely, 2100114120421304 is an apocalyptic number.

It is an amenable number.

100114120421304 is an abundant number, since it is smaller than the sum of its proper divisors (173172839706696).

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

100114120421304 is a wasteful number, since it uses less digits than its factorization.

100114120421304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36089 (or 36085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100114120421304 its reverse (403124021411001), we get a palindrome (503238141832305).

The spelling of 100114120421304 in words is "one hundred trillion, one hundred fourteen billion, one hundred twenty million, four hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1259 2518 3777 5036 7554 10072 13849 15108 16091 18719 27698 30216 32182 37438 41547 48273 55396 56157 64364 74876 83094 96546 110792 112314 128728 149752 166188 177001 193092 205909 224628 332376 354002 386184 411818 449256 531003 617727 708004 823636 1062006 1235454 1416008 1647272 2124012 2470908 4248024 4941816 20258569 23567221 40517138 47134442 60775707 70701663 81034276 94268884 121551414 141403326 162068552 188537768 222844259 243102828 259239431 282806652 301207429 445688518 486205656 518478862 565613304 602414858 668532777 777718293 891377036 903622287 1036957724 1204829716 1337065554 1555436586 1782754072 1807244574 2073915448 2409659432 2674131108 3110873172 3313281719 3614489148 5348262216 6221746344 6626563438 7228978296 9939845157 13253126876 19879690314 26506253752 39759380628 79518761256 379220153111 758440306222 1137660459333 1516880612444 2275320918666 3033761224888 4171421684221 4550641837332 8342843368442 9101283674664 12514265052663 16685686736884 25028530105326 33371373473768 50057060210652 100114120421304