Search a number
-
+
100153740285 = 32573136722303
BaseRepresentation
bin101110101000110100…
…0001100101111111101
3100120111212221011021100
41131101220030233331
53120103324142120
6114002054123313
710143621513624
oct1352150145775
9316455834240
10100153740285
11395251a2495
12174b1350539
1395a161ac21
144bc16406bb
1529129a7490
hex1751a0cbfd

100153740285 has 48 divisors (see below), whose sum is σ = 176114525184. Its totient is φ = 52642711296.

The previous prime is 100153740283. The next prime is 100153740301. The reversal of 100153740285 is 582047351001.

100153740285 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 374 + 0 + 285 = 666.

It is not a de Polignac number, because 100153740285 - 21 = 100153740283 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100153740283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4479444 + ... + 4501746.

It is an arithmetic number, because the mean of its divisors is an integer number (3669052608).

Almost surely, 2100153740285 is an apocalyptic number.

100153740285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100153740285 is a deficient number, since it is larger than the sum of its proper divisors (75960784899).

100153740285 is a wasteful number, since it uses less digits than its factorization.

100153740285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23754 (or 23751 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 100153740285 in words is "one hundred billion, one hundred fifty-three million, seven hundred forty thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 1367 3285 4101 6835 12303 20505 22303 61515 66909 99791 111515 200727 299373 334545 498955 898119 1003635 1496865 1628119 4490595 4884357 8140595 14653071 24421785 30488201 73265355 91464603 152441005 274393809 457323015 1371969045 2225638673 6676916019 11128193365 20030748057 33384580095 100153740285