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230023023110032 = 241719236131724233
BaseRepresentation
bin110100010011010001101000…
…100101010010011110010000
31010011102222121222100222122111
4310103101220211102132100
5220122144122404010112
62133115041253515104
766310420642144555
oct6423215045223620
91104388558328574
10230023023110032
1167324241948769
1221970005042a94
139b471024bc159
1440b3260996a2c
151b8d6601e05a7
hexd13468952790

230023023110032 has 160 divisors (see below), whose sum is σ = 526815167742720. Its totient is φ = 96482272296960.

The previous prime is 230023023109967. The next prime is 230023023110047. The reversal of 230023023110032 is 230011320320032.

It is a junction number, because it is equal to n+sod(n) for n = 230023023109985 and 230023023110012.

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, 8611413 + ... + 23112820.

It is an arithmetic number, because the mean of its divisors is an integer number (3292594798392).

Almost surely, 2230023023110032 is an apocalyptic number.

It is an amenable number.

230023023110032 is an abundant number, since it is smaller than the sum of its proper divisors (296792144632688).

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

230023023110032 is a wasteful number, since it uses less digits than its factorization.

230023023110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31724361 (or 31724355 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 230023023110032 its reverse (230011320320032), we get a palindrome (460034343430064).

The spelling of 230023023110032 in words is "two hundred thirty trillion, twenty-three billion, twenty-three million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 23 34 38 46 61 68 76 92 122 136 152 184 244 272 304 323 368 391 437 488 646 782 874 976 1037 1159 1292 1403 1564 1748 2074 2318 2584 2806 3128 3496 4148 4636 5168 5612 6256 6992 7429 8296 9272 11224 14858 16592 18544 19703 22448 23851 26657 29716 39406 47702 53314 59432 78812 95404 106628 118864 157624 190808 213256 315248 381616 426512 453169 906338 1812676 3625352 7250704 31724233 63448466 126896932 253793864 507587728 539311961 602760427 729657359 1078623922 1205520854 1459314718 1935178213 2157247844 2411041708 2918629436 3870356426 4314495688 4822083416 5837258872 7740712852 8628991376 9644166832 10246927259 11674517744 12404175103 13863489821 15481425704 20493854518 24808350206 27726979642 30962851408 32898029621 36768386047 40987709036 44509098899 49616700412 55453959284 65796059242 73536772094 81975418072 89018197798 99233400824 110907918568 131592118484 147073544188 163950836144 178036395596 198466801648 221815837136 235679326957 263184236968 294147088376 356072791192 471358653914 526368473936 588294176752 625062562799 712145582384 756654681283 845672879081 942717307828 1250125125598 1513309362566 1691345758162 1885434615656 2500250251196 3026618725132 3382691516324 3770869231312 5000500502392 6053237450264 6765383032648 10001001004784 12106474900528 13530766065296 14376438944377 28752877888754 57505755777508 115011511555016 230023023110032