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210023024232032 = 251121991618316843
BaseRepresentation
bin101111110000001111001011…
…110000010000011001100000
31000112122000010200000111002022
4233300033023300100121200
5210012004123200411112
62022403124555441012
762144443220505044
oct5760171360203140
91015560120014068
10210023024232032
1160a1329a987700
121b67ba51a56168
13902611750c02b
1439c125094c024
1519432aa4cbd72
hexbf03cbc10660

210023024232032 has 144 divisors (see below), whose sum is σ = 456828603436800. Its totient is φ = 94973778789120.

The previous prime is 210023024231983. The next prime is 210023024232053. The reversal of 210023024232032 is 230232420320012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210023024231992 and 210023024232010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12469446203 + ... + 12469463045.

It is an arithmetic number, because the mean of its divisors is an integer number (3172420857200).

Almost surely, 2210023024232032 is an apocalyptic number.

210023024232032 is a gapful number since it is divisible by the number (22) 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 210023024232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228414301718400).

210023024232032 is an abundant number, since it is smaller than the sum of its proper divisors (246805579204768).

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

210023024232032 is a wasteful number, since it uses less digits than its factorization.

210023024232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33257 (or 33238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 210023024232032 its reverse (230232420320012), we get a palindrome (440255444552044).

The spelling of 210023024232032 in words is "two hundred ten trillion, twenty-three billion, twenty-four million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 199 242 352 398 484 796 968 1592 1936 2189 3184 3872 4378 6368 8756 16183 16843 17512 24079 32366 33686 35024 48158 64732 67372 70048 96316 129464 134744 178013 185273 192632 258928 269488 356026 370546 385264 517856 538976 712052 741092 770528 1424104 1482184 1958143 2038003 2848208 2964368 3220417 3351757 3916286 4076006 5696416 5928736 6440834 6703514 7832572 8152012 12881668 13407028 15665144 16304024 25763336 26814056 31330288 32608048 35424587 36869327 51526672 53628112 62660576 65216096 70849174 73738654 103053344 107256224 141698348 147477308 272570269 283396696 294954616 389670457 405562597 545140538 566793392 589909232 779340914 811125194 1090281076 1133586784 1179818464 1558681828 1622250388 2180562152 2998272959 3117363656 3244500776 4361124304 5996545918 6234727312 6489001552 8722248608 11993091836 12469454624 12978003104 23986183672 32981002549 47972367344 54241483531 65962005098 95944734688 108482967062 131924010196 216965934124 263848020392 433931868248 527696040784 596656318841 867863736496 1055392081568 1193312637682 1735727472992 2386625275364 4773250550728 6563219507251 9546501101456 13126439014502 19093002202912 26252878029004 52505756058008 105011512116016 210023024232032