Search a number
-
+
10220045244024 = 23371121126210083
BaseRepresentation
bin1001010010111000101000…
…1010101001011001111000
31100012000201112011211201010
42110232022022221121320
52314421123040302044
633423005102153520
72103242151144060
oct224561212513170
940160645154633
1010220045244024
11329032a1167a0
1211908685828a0
13591991333a25
1427491d5123a0
1512aca80bdbb9
hex94b8a2a9678

10220045244024 has 128 divisors (see below), whose sum is σ = 32005657774080. Its totient is φ = 2641976265600.

The previous prime is 10220045243987. The next prime is 10220045244091. The reversal of 10220045244024 is 42044254002201.

It is a junction number, because it is equal to n+sod(n) for n = 10220045243982 and 10220045244000.

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, 12715114 + ... + 13494969.

It is an arithmetic number, because the mean of its divisors is an integer number (250044201360).

Almost surely, 210220045244024 is an apocalyptic number.

10220045244024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10220045244024 is an abundant number, since it is smaller than the sum of its proper divisors (21785612530056).

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

10220045244024 is a wasteful number, since it uses less digits than its factorization.

10220045244024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26210321 (or 26210317 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 10220045244024 its reverse (42044254002201), we get a palindrome (52264299246225).

The spelling of 10220045244024 in words is "ten trillion, two hundred twenty billion, forty-five million, two hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 211 231 264 308 422 462 616 633 844 924 1266 1477 1688 1848 2321 2532 2954 4431 4642 5064 5908 6963 8862 9284 11816 13926 16247 17724 18568 27852 32494 35448 48741 55704 64988 97482 129976 194964 389928 26210083 52420166 78630249 104840332 157260498 183470581 209680664 288310913 314520996 366941162 550411743 576621826 629041992 733882324 864932739 1100823486 1153243652 1467764648 1729865478 2018176391 2201646972 2306487304 3459730956 4036352782 4403293944 5530327513 6054529173 6919461912 8072705564 11060655026 12109058346 16145411128 16590982539 22121310052 24218116692 33181965078 38712292591 44242620104 48436233384 60833602643 66363930156 77424585182 116136877773 121667205286 132727860312 154849170364 182500807929 232273755546 243334410572 309698340728 365001615858 425835218501 464547511092 486668821144 730003231716 851670437002 929095022184 1277505655503 1460006463432 1703340874004 2555011311006 3406681748008 5110022622012 10220045244024