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2121021033032 = 23112312758714057
BaseRepresentation
bin11110110111010110101…
…101001000101001001000
321111202201121021022110202
4132313112231020221020
5234222322341024112
64302214505431332
7306144610212116
oct36672655105110
97452647238422
102121021033032
1174857a095160
122a309979b548
1312501c1412a5
147492d65aab6
153a28c91b6c2
hex1edd6b48a48

2121021033032 has 128 divisors (see below), whose sum is σ = 4570824867840. Its totient is φ = 913298158080.

The previous prime is 2121021033029. The next prime is 2121021033059. The reversal of 2121021033032 is 2303301201212.

It is a super-2 number, since 2×21210210330322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121021032995 and 2121021033013.

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, 150880148 + ... + 150894204.

It is an arithmetic number, because the mean of its divisors is an integer number (35709569280).

Almost surely, 22121021033032 is an apocalyptic number.

2121021033032 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 2121021033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285412433920).

2121021033032 is an abundant number, since it is smaller than the sum of its proper divisors (2449803834808).

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

2121021033032 is a wasteful number, since it uses less digits than its factorization.

2121021033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14811 (or 14807 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2121021033032 its reverse (2303301201212), we get a palindrome (4424322234244).

The spelling of 2121021033032 in words is "two trillion, one hundred twenty-one billion, twenty-one million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 127 184 253 254 506 508 587 1012 1016 1174 1397 2024 2348 2794 2921 4696 5588 5842 6457 11176 11684 12914 13501 14057 23368 25828 27002 28114 32131 51656 54004 56228 64262 74549 108008 112456 128524 148511 149098 154627 257048 297022 298196 309254 323311 594044 596392 618508 646622 820039 1188088 1237016 1293244 1640078 1714627 1785239 2586488 3280156 3429254 3556421 3570478 6560312 6858508 7112842 7140956 8251459 13717016 14225684 14281912 16502918 18860897 19637629 28451368 33005836 37721794 39275258 41060497 66011672 75443588 78550516 82120994 90766049 150887176 157101032 164241988 181532098 189783557 328483976 363064196 379567114 451665467 726128392 759134228 903330934 1047935293 1518268456 1806661868 2087619127 2095870586 3613323736 4175238254 4191741172 8350476508 8383482344 11527288223 16700953016 23054576446 24102511739 46109152892 48205023478 92218305784 96410046956 192820093912 265127629129 530255258258 1060510516516 2121021033032