Search a number
-
+
10221013311230 = 25291072837271601
BaseRepresentation
bin1001010010111100001111…
…0111100001111011111110
31100012010012222202202021002
42110233003313201323332
52314430113401424410
633423245123210302
72103305144446331
oct224570367417376
940163188682232
1010221013311230
113290786609a37
121190a98816992
13591ab6a70267
142749b1d0a618
1512ad130937a5
hex94bc3de1efe

10221013311230 has 128 divisors (see below), whose sum is σ = 19316558177280. Its totient is φ = 3888925286400.

The previous prime is 10221013311221. The next prime is 10221013311239. The reversal of 10221013311230 is 3211331012201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10221013311221) and next prime (10221013311239).

It is a super-2 number, since 2×102210133112302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221013311239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6384142430 + ... + 6384144030.

It is an arithmetic number, because the mean of its divisors is an integer number (150910610760).

Almost surely, 210221013311230 is an apocalyptic number.

10221013311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221013311230 is a deficient number, since it is larger than the sum of its proper divisors (9095544866050).

10221013311230 is a wasteful number, since it uses less digits than its factorization.

10221013311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10221013311230 its reverse (3211331012201), we get a palindrome (13432344323431).

The spelling of 10221013311230 in words is "ten trillion, two hundred twenty-one billion, thirteen million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 5 10 29 58 107 145 214 283 290 535 566 727 1070 1415 1454 1601 2830 3103 3202 3635 6206 7270 8005 8207 15515 16010 16414 21083 30281 31030 41035 42166 46429 60562 77789 82070 92858 105415 151405 155578 171307 205741 210830 232145 302810 342614 388945 411482 453083 464290 777890 856535 878149 906166 1028705 1163927 1713070 1756298 2057410 2255881 2265415 2327854 4390745 4511762 4530830 4967903 5819635 5966489 8781490 9935806 11279405 11639270 11932978 13139407 22014287 22558810 24839515 26278814 29832445 33753883 44028574 48479881 49679030 59664890 65697035 67507766 96959762 110071435 124540189 131394070 168769415 220142870 242399405 249080378 329391341 337538830 484798810 622700945 638414323 658782682 1245401890 1276828646 1405916549 1646956705 2811833098 3192071615 3293913410 3611665481 6384143230 7029582745 7223330962 9552348889 14059165490 18058327405 19104697778 35244873487 36116654810 47761744445 70489746974 95523488890 176224367435 352448734870 1022101331123 2044202662246 5110506655615 10221013311230