Search a number
-
+
101134345151224 = 23721182928292113
BaseRepresentation
bin10110111111101100101100…
…101101111010001011111000
3111021002100102101211202022101
4112333230230231322023320
5101223441114324314344
6555032250552033144
730205500231633100
oct2677545455721370
9437070371752271
10101134345151224
112a2519202a8670
12b41461b6927b4
134457c0a583bb8
141ad8cdd842200
15ba5b0a59b9d4
hex5bfb2cb7a2f8

101134345151224 has 96 divisors (see below), whose sum is σ = 240929984401200. Its totient is φ = 39355459476480.

The previous prime is 101134345151207. The next prime is 101134345151237. The reversal of 101134345151224 is 422151543431101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10571409 + ... + 17720704.

Almost surely, 2101134345151224 is an apocalyptic number.

101134345151224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101134345151224 is an abundant number, since it is smaller than the sum of its proper divisors (139795639249976).

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

101134345151224 is a wasteful number, since it uses less digits than its factorization.

101134345151224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28292973 (or 28292962 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 101134345151224 its reverse (422151543431101), we get a palindrome (523285888582325).

The spelling of 101134345151224 in words is "one hundred one trillion, one hundred thirty-four billion, three hundred forty-five million, one hundred fifty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 829 1078 1658 2156 3316 4312 5803 6632 9119 11606 18238 23212 36476 40621 46424 63833 72952 81242 127666 162484 255332 324968 446831 510664 893662 1787324 3574648 28292113 56584226 113168452 198044791 226336904 311213243 396089582 622426486 792179164 1244852972 1386313537 1584358328 2178492701 2489705944 2772627074 4356985402 5545254148 8713970804 11090508296 15249448907 17427941608 23454161677 30498897814 46908323354 60997795628 93816646708 121995591256 164179131739 187633293416 257995778447 328358263478 515991556894 656716526956 1031983113788 1149253922173 1313433053912 1805970449129 2063966227576 2298507844346 3611940898258 4597015688692 7223881796516 9194031377384 12641793143903 14447763593032 25283586287806 50567172575612 101134345151224