Search a number
-
+
100214420030304 = 2533133674200279
BaseRepresentation
bin10110110010010011111100…
…111010000100001101100000
3111010211101221020102122121120
4112302103330322010031200
5101113403113011432204
6553045511412052240
730052152515263026
oct2662237472041540
9433741836378546
10100214420030304
1129a27773582598
12b2a6286604080
1343bc243aa9718
141aa65920a6716
15b8bc18b956d9
hex5b24fce84360

100214420030304 has 48 divisors (see below), whose sum is σ = 271548751057920. Its totient is φ = 32327232266880.

The previous prime is 100214420030281. The next prime is 100214420030317. The reversal of 100214420030304 is 403030024412001.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16837097164 + ... + 16837103115.

It is an arithmetic number, because the mean of its divisors is an integer number (5657265647040).

Almost surely, 2100214420030304 is an apocalyptic number.

It is an amenable number.

100214420030304 is an abundant number, since it is smaller than the sum of its proper divisors (171334331027616).

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

100214420030304 is a wasteful number, since it uses less digits than its factorization.

100214420030304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33674200323 (or 33674200315 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100214420030304 its reverse (403030024412001), we get a palindrome (503244444442305).

The spelling of 100214420030304 in words is "one hundred trillion, two hundred fourteen billion, four hundred twenty million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 33674200279 67348400558 101022600837 134696801116 202045201674 269393602232 404090403348 538787204464 808180806696 1043900208649 1077574408928 1616361613392 2087800417298 3131700625947 3232723226784 4175600834596 6263401251894 8351201669192 12526802503788 16702403338384 25053605007576 33404806676768 50107210015152 100214420030304