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230301331120 = 24577110635449
BaseRepresentation
bin1101011001111100000…
…1110110111010110000
3211000110002120210110101
43112133001312322300
512233124120043440
6253444324442144
722432040005150
oct3263701667260
9730402523411
10230301331120
1189741108813
1238773549354
1318942c59bc3
14b20a568760
155ecd77169a
hex359f076eb0

230301331120 has 160 divisors (see below), whose sum is σ = 621260236800. Its totient is φ = 77760829440.

The previous prime is 230301331109. The next prime is 230301331163. The reversal of 230301331120 is 21133103032.

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, 42262156 + ... + 42267604.

It is an arithmetic number, because the mean of its divisors is an integer number (3882876480).

Almost surely, 2230301331120 is an apocalyptic number.

230301331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230301331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310630118400).

230301331120 is an abundant number, since it is smaller than the sum of its proper divisors (390958905680).

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

230301331120 is a wasteful number, since it uses less digits than its factorization.

230301331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 230301331120 its reverse (21133103032), we get a palindrome (251434434152).

The spelling of 230301331120 in words is "two hundred thirty billion, three hundred one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1063 1136 1420 1988 2126 2485 2840 3976 4252 4970 5315 5449 5680 7441 7952 8504 9940 10630 10898 14882 17008 19880 21260 21796 27245 29764 37205 38143 39760 42520 43592 54490 59528 74410 75473 76286 85040 87184 108980 119056 148820 150946 152572 190715 217960 297640 301892 305144 377365 381430 386879 435920 528311 595280 603784 610288 754730 762860 773758 1056622 1207568 1509460 1525720 1547516 1934395 2113244 2641555 2708153 3018920 3051440 3095032 3868790 4226488 5283110 5416306 5792287 6037840 6190064 7737580 8452976 10566220 10832612 11584574 13540765 15475160 21132440 21665224 23169148 27081530 28961435 30950320 40546009 42264880 43330448 46338296 54163060 57922870 81092018 92676592 108326120 115845740 162184036 202730045 216652240 231691480 324368072 405460090 411252377 463382960 648736144 810920180 822504754 1621840360 1645009508 2056261885 2878766639 3243680720 3290019016 4112523770 5757533278 6580038032 8225047540 11515066556 14393833195 16450095080 23030133112 28787666390 32900190160 46060266224 57575332780 115150665560 230301331120