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10210212222320 = 24511172029336373
BaseRepresentation
bin1001010010010100000000…
…0100101001010101110000
31100011002100020121120202002
42110211000010221111300
52314241003312103240
633414301242313132
72102443401634235
oct224450004512560
940132306546662
1010210212222320
11328714368aa80
12118a9834b87a8
13590a8510b3a6
1427426961778c
1512a8cebe5d15
hex94940129570

10210212222320 has 160 divisors (see below), whose sum is σ = 27433748502720. Its totient is φ = 3492671569920.

The previous prime is 10210212222319. The next prime is 10210212222347. The reversal of 10210212222320 is 2322221201201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10210212222292 and 10210212222301.

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, 30185654 + ... + 30522026.

It is an arithmetic number, because the mean of its divisors is an integer number (171460928142).

Almost surely, 210210212222320 is an apocalyptic number.

10210212222320 is a gapful number since it is divisible by the number (10) 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 10210212222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716874251360).

10210212222320 is an abundant number, since it is smaller than the sum of its proper divisors (17223536280400).

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

10210212222320 is a wasteful number, since it uses less digits than its factorization.

10210212222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338443 (or 338437 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10210212222320 its reverse (2322221201201), we get a palindrome (12532433423521).

The spelling of 10210212222320 in words is "ten trillion, two hundred ten billion, two hundred twelve million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2029 2992 3740 4058 7480 8116 10145 14960 16232 20290 22319 32464 34493 40580 44638 68986 81160 89276 111595 137972 162320 172465 178552 223190 275944 336373 344930 357104 379423 446380 551888 672746 689860 758846 892760 1345492 1379720 1517692 1681865 1785520 1897115 2690984 2759440 3035384 3363730 3700103 3794230 5381968 5718341 6070768 6727460 7400206 7588460 11436682 13454920 14800412 15176920 18500515 22873364 26909840 28591705 29600824 30353840 37001030 45746728 57183410 59201648 62901751 74002060 91493456 114366820 125803502 148004120 228733640 251607004 296008240 314508755 457467280 503214008 629017510 682500817 1006428016 1258035020 1365001634 2516070040 2730003268 3412504085 5032140080 5460006536 6825008170 7507508987 10920013072 11602513889 13650016340 15015017974 23205027778 27300032680 30030035948 37537544935 46410055556 54600065360 58012569445 60060071896 75075089870 92820111112 116025138890 120120143792 127627652779 150150179740 185640222224 232050277780 255255305558 300300359480 464100555560 510510611116 600600718960 638138263895 928201111120 1021021222232 1276276527790 2042042444464 2552553055580 5105106111160 10210212222320