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230111002320 = 24355989182593
BaseRepresentation
bin1101011001001110101…
…1110011111011010000
3210222221211110002102120
43112103223303323100
512232231404033240
6253413405214240
722424236150533
oct3262353637320
9728854402376
10230111002320
1189653730991
123871b861380
13189126aa904
14b1cd182a1a
155ebbbc7ad0
hex3593af3ed0

230111002320 has 160 divisors (see below), whose sum is σ = 733589654400. Its totient is φ = 59644772352.

The previous prime is 230111002309. The next prime is 230111002367. The reversal of 230111002320 is 23200111032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230111002320.

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, 1168944 + ... + 1351536.

It is an arithmetic number, because the mean of its divisors is an integer number (4584935340).

Almost surely, 2230111002320 is an apocalyptic number.

230111002320 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 230111002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366794827200).

230111002320 is an abundant number, since it is smaller than the sum of its proper divisors (503478652080).

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

230111002320 is a wasteful number, since it uses less digits than its factorization.

230111002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182757 (or 182751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230111002320 its reverse (23200111032), we get a palindrome (253311113352).

The spelling of 230111002320 in words is "two hundred thirty billion, one hundred eleven million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 89 118 120 177 178 236 240 267 295 354 356 445 472 534 590 708 712 885 890 944 1068 1180 1335 1416 1424 1770 1780 2136 2360 2670 2832 3540 3560 4272 4720 5251 5340 7080 7120 10502 10680 14160 15753 21004 21360 26255 31506 42008 52510 63012 78765 84016 105020 126024 157530 182593 210040 252048 315060 365186 420080 547779 630120 730372 912965 1095558 1260240 1460744 1825930 2191116 2738895 2921488 3651860 4382232 5477790 7303720 8764464 10772987 10955580 14607440 16250777 21545974 21911160 32318961 32501554 43091948 43822320 48752331 53864935 64637922 65003108 81253885 86183896 97504662 107729870 129275844 130006216 161594805 162507770 172367792 195009324 215459740 243761655 258551688 260012432 323189610 325015540 390018648 430919480 487523310 517103376 646379220 650031080 780037296 861838960 958795843 975046620 1292758440 1300062160 1917591686 1950093240 2585516880 2876387529 3835183372 3900186480 4793979215 5752775058 7670366744 9587958430 11505550116 14381937645 15340733488 19175916860 23011100232 28763875290 38351833720 46022200464 57527750580 76703667440 115055501160 230111002320