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2021013111320 = 235724149096101
BaseRepresentation
bin11101011010001101110…
…001001100001000011000
321011012120212201111200022
4131122031301030020120
5231103013324030240
64144235100530012
7266004406001210
oct35321561141030
97135525644608
102021013111320
1170a11a239395
12287829250908
13118771ab9c58
146db63537240
1537887b699b5
hex1d68dc4c218

2021013111320 has 128 divisors (see below), whose sum is σ = 5220373276800. Its totient is φ = 689789952000.

The previous prime is 2021013111307. The next prime is 2021013111361. The reversal of 2021013111320 is 231113101202.

It is a super-2 number, since 2×20210131113202 (a number of 25 digits) contains 22 as substring.

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, 331256270 + ... + 331262370.

It is an arithmetic number, because the mean of its divisors is an integer number (40784166225).

Almost surely, 22021013111320 is an apocalyptic number.

2021013111320 is a gapful number since it is divisible by the number (20) 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 2021013111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610186638400).

2021013111320 is an abundant number, since it is smaller than the sum of its proper divisors (3199360165480).

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

2021013111320 is a wasteful number, since it uses less digits than its factorization.

2021013111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11269 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2021013111320 its reverse (231113101202), we get a palindrome (2252126212522).

The spelling of 2021013111320 in words is "two trillion, twenty-one billion, thirteen million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 964 1205 1687 1928 2410 3374 4820 4909 6101 6748 8435 9640 9818 12202 13496 16870 19636 24404 24545 30505 33740 34363 39272 42707 48808 49090 61010 67480 68726 85414 98180 122020 137452 170828 171815 196360 213535 244040 274904 341656 343630 427070 687260 854140 1183069 1374520 1470341 1708280 2366138 2940682 4732276 5881364 5915345 7351705 8281483 9464552 10292387 11762728 11830690 14703410 16562966 20584774 23661380 29406820 29949809 33125932 41169548 41407415 47322760 51461935 58813640 59899618 66251864 82339096 82814830 102923870 119799236 149749045 165629660 205847740 209648663 239598472 299498090 331259320 411695480 419297326 598996180 838594652 1048243315 1197992360 1677189304 2096486630 4192973260 7217903969 8385946520 14435807938 28871615876 36089519845 50525327783 57743231752 72179039690 101050655566 144358079380 202101311132 252626638915 288716158760 404202622264 505253277830 1010506555660 2021013111320