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2121021351312 = 243103449955477
BaseRepresentation
bin11110110111010110101…
…110010110010110010000
321111202201121212111001220
4132313112232112112100
5234222322431220222
64302214520325040
7306144613006053
oct36672656262620
97452647774056
102121021351312
1174857a2922a6
122a3099913780
1312501c223116
147492d700a9a
153a28c980b5c
hex1edd6b96590

2121021351312 has 80 divisors (see below), whose sum is σ = 5544829929600. Its totient is φ = 698582900736.

The previous prime is 2121021351307. The next prime is 2121021351347. The reversal of 2121021351312 is 2131531201212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742118 + ... + 2697594.

It is an arithmetic number, because the mean of its divisors is an integer number (69310374120).

Almost surely, 22121021351312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121021351312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772414964800).

2121021351312 is an abundant number, since it is smaller than the sum of its proper divisors (3423808578288).

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

2121021351312 is a wasteful number, since it uses less digits than its factorization.

2121021351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956040 (or 956034 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 2121021351312 its reverse (2131531201212), we get a palindrome (4252552552524).

The spelling of 2121021351312 in words is "two trillion, one hundred twenty-one billion, twenty-one million, three hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 449 618 824 898 1236 1347 1648 1796 2472 2694 3592 4944 5388 7184 10776 21552 46247 92494 138741 184988 277482 369976 554964 739952 955477 1109928 1910954 2219856 2866431 3821908 5732862 7643816 11465724 15287632 22931448 45862896 98414131 196828262 295242393 393656524 429009173 590484786 787313048 858018346 1180969572 1287027519 1574626096 1716036692 2361939144 2574055038 3432073384 4723878288 5148110076 6864146768 10296220152 20592440304 44187944819 88375889638 132563834457 176751779276 265127668914 353503558552 530255337828 707007117104 1060510675656 2121021351312