Search a number
-
+
100114232424 = 233891011074337
BaseRepresentation
bin101110100111101000…
…1011111010001101000
3100120102010120221200020
41131033101133101220
53120013220414144
6113554123240440
710142631635433
oct1351721372150
9316363527606
10100114232424
1139504968668
12174a0079120
1395963973ab
144bba2b881a
15290e2a1419
hex174f45f468

100114232424 has 128 divisors (see below), whose sum is σ = 258052003200. Its totient is φ = 32356966400.

The previous prime is 100114232401. The next prime is 100114232497. The reversal of 100114232424 is 424232411001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100114232394 and 100114232403.

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, 23081584 + ... + 23085920.

It is an arithmetic number, because the mean of its divisors is an integer number (2016031275).

Almost surely, 2100114232424 is an apocalyptic number.

It is an amenable number.

100114232424 is an abundant number, since it is smaller than the sum of its proper divisors (157937770776).

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

100114232424 is a wasteful number, since it uses less digits than its factorization.

100114232424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100114232424 its reverse (424232411001), we get a palindrome (524346643425).

The spelling of 100114232424 in words is "one hundred billion, one hundred fourteen million, two hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 89 101 107 178 202 214 267 303 321 356 404 428 534 606 642 712 808 856 1068 1212 1284 2136 2424 2568 4337 8674 8989 9523 10807 13011 17348 17978 19046 21614 26022 26967 28569 32421 34696 35956 38092 43228 52044 53934 57138 64842 71912 76184 86456 104088 107868 114276 129684 215736 228552 259368 385993 438037 464059 771986 876074 928118 961823 1157979 1314111 1392177 1543972 1752148 1856236 1923646 2315958 2628222 2784354 2885469 3087944 3504296 3712472 3847292 4631916 5256444 5568708 5770938 7694584 9263832 10512888 11137416 11541876 23083752 38985293 41301251 46869959 77970586 82602502 93739918 116955879 123903753 140609877 155941172 165205004 187479836 233911758 247807506 281219754 311882344 330410008 374959672 467823516 495615012 562439508 935647032 991230024 1124879016 4171426351 8342852702 12514279053 16685705404 25028558106 33371410808 50057116212 100114232424