Search a number
-
+
10210222021120 = 295111721328171
BaseRepresentation
bin1001010010010100000010…
…1010000001101000000000
31100011002100221001102011121
42110211000222001220000
52314241013314133440
633414302232322024
72102443551135202
oct224450052015000
940132327042147
1010210222021120
113287149172a60
12118a986843314
13590a8715c4b4
1427426aa48772
1512a8d09ce34a
hex94940a81a00

10210222021120 has 160 divisors (see below), whose sum is σ = 28277061062976. Its totient is φ = 3494407372800.

The previous prime is 10210222021091. The next prime is 10210222021141. The reversal of 10210222021120 is 2112022201201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10210222021094 and 10210222021103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10185366 + ... + 11142805.

Almost surely, 210210222021120 is an apocalyptic number.

10210222021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210222021120 is an abundant number, since it is smaller than the sum of its proper divisors (18066839041856).

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

10210222021120 is a wasteful number, since it uses less digits than its factorization.

10210222021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21328222 (or 21328206 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10210222021120 its reverse (2112022201201), we get a palindrome (12322244222321).

The spelling of 10210222021120 in words is "ten trillion, two hundred ten billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 256 272 320 340 352 374 440 512 544 640 680 704 748 880 935 1088 1280 1360 1408 1496 1760 1870 2176 2560 2720 2816 2992 3520 3740 4352 5440 5632 5984 7040 7480 8704 10880 11968 14080 14960 21760 23936 28160 29920 43520 47872 59840 95744 119680 239360 478720 21328171 42656342 85312684 106640855 170625368 213281710 234609881 341250736 362578907 426563420 469219762 682501472 725157814 853126840 938439524 1173049405 1365002944 1450315628 1706253680 1812894535 1876879048 2346098810 2730005888 2900631256 3412507360 3625789070 3753758096 3988367977 4692197620 5460011776 5801262512 6825014720 7251578140 7507516192 7976735954 9384395240 10920023552 11602525024 13650029440 14503156280 15015032384 15953471908 18768790480 19941839885 23205050048 27300058880 29006312560 30030064768 31906943816 37537580960 39883679770 46410100096 54600117760 58012625120 60060129536 63813887632 75075161920 79767359540 92820200192 116025250240 120120259072 127627775264 150150323840 159534719080 185640400384 232050500480 255255550528 300300647680 319069438160 464101000960 510511101056 600601295360 638138876320 928202001920 1021022202112 1276277752640 2042044404224 2552555505280 5105111010560 10210222021120