Search a number
-
+
102433044120 = 23351189871919
BaseRepresentation
bin101111101100101111…
…1000011011010011000
3100210101201211210022220
41133121133003122120
53134240324402440
6115020155344040
710254246336411
oct1373137033230
9323351753286
10102433044120
113a494868170
1217a28752020
1398758c7b14
144d5a242808
1529e7b3b8d0
hex17d97c3698

102433044120 has 128 divisors (see below), whose sum is σ = 339002496000. Its totient is φ = 24553210880.

The previous prime is 102433044113. The next prime is 102433044151. The reversal of 102433044120 is 21440334201.

102433044120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 318480 + ... + 553439.

It is an arithmetic number, because the mean of its divisors is an integer number (2648457000).

Almost surely, 2102433044120 is an apocalyptic number.

102433044120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102433044120 is an abundant number, since it is smaller than the sum of its proper divisors (236569451880).

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

102433044120 is a wasteful number, since it uses less digits than its factorization.

102433044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872033 (or 872029 counting only the distinct ones).

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

Adding to 102433044120 its reverse (21440334201), we get a palindrome (123873378321).

The spelling of 102433044120 in words is "one hundred two billion, four hundred thirty-three million, forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1320 1335 1780 1958 2136 2670 2937 3560 3916 4895 5340 5874 7832 9790 10680 11748 14685 19580 23496 29370 39160 58740 117480 871919 1743838 2615757 3487676 4359595 5231514 6975352 8719190 9591109 10463028 13078785 17438380 19182218 20926056 26157570 28773327 34876760 38364436 47955545 52315140 57546654 76728872 77600791 95911090 104630280 115093308 143866635 155201582 191822180 230186616 232802373 287733270 310403164 383644360 388003955 465604746 575466540 620806328 776007910 853608701 931209492 1150933080 1164011865 1552015820 1707217402 1862418984 2328023730 2560826103 3104031640 3414434804 4268043505 4656047460 5121652206 6828869608 8536087010 9312094920 10243304412 12804130515 17072174020 20486608824 25608261030 34144348040 51216522060 102433044120