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113010243120 = 24335173077621
BaseRepresentation
bin110100100111111101…
…1110111011000110000
3101210200212201011122000
41221033323313120300
53322421110234440
6123525521414000
711110333134315
oct1511773673060
9353625634560
10113010243120
1143a22377345
1219a9aa9a300
13a870059858
145680cd4d0c
152e16511730
hex1a4fef7630

113010243120 has 160 divisors (see below), whose sum is σ = 412155138240. Its totient is φ = 28363345920.

The previous prime is 113010243107. The next prime is 113010243191. The reversal of 113010243120 is 21342010311.

113010243120 is a `hidden beast` number, since 1 + 1 + 301 + 0 + 243 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113010243093 and 113010243102.

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, 1502091 + ... + 1575530.

It is an arithmetic number, because the mean of its divisors is an integer number (2575969614).

Almost surely, 2113010243120 is an apocalyptic number.

113010243120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113010243120 is an abundant number, since it is smaller than the sum of its proper divisors (299144895120).

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

113010243120 is a wasteful number, since it uses less digits than its factorization.

113010243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077660 (or 3077648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113010243120 its reverse (21342010311), we get a palindrome (134352253431).

The spelling of 113010243120 in words is "one hundred thirteen billion, ten million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 3077621 6155242 9232863 12310484 15388105 18465726 24620968 27698589 30776210 36931452 46164315 49241936 52319557 55397178 61552420 73862904 83095767 92328630 104639114 110794356 123104840 138492945 147725808 156958671 166191534 184657260 209278228 221588712 246209680 261597785 276985890 313917342 332383068 369314520 415478835 418556456 443177424 470876013 523195570 553971780 627834684 664766136 738629040 784793355 830957670 837112912 941752026 1046391140 1107943560 1255669368 1329532272 1412628039 1569586710 1661915340 1883504052 2092782280 2215887120 2354380065 2511338736 2825256078 3139173420 3323830680 3767008104 4185564560 4708760130 5650512156 6278346840 6647661360 7063140195 7534016208 9417520260 11301024312 12556693680 14126280390 18835040520 22602048624 28252560780 37670081040 56505121560 113010243120