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2101240020 = 22351121915233
BaseRepresentation
bin111110100111110…
…0110000011010100
312102102212001102110
41331033212003110
513300404140040
6544300511020
7103033150125
oct17517460324
95372761373
102101240020
11989105800
124a784b470
132764333b9
1415d0d004c
15c470e980
hex7d3e60d4

2101240020 has 144 divisors (see below), whose sum is σ = 6807769920. Its totient is φ = 482549760.

The previous prime is 2101240007. The next prime is 2101240033. The reversal of 2101240020 is 200421012.

It is an interprime number because it is at equal distance from previous prime (2101240007) and next prime (2101240033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101239978 and 2101240005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130324 + ... + 145556.

It is an arithmetic number, because the mean of its divisors is an integer number (47276180).

Almost surely, 22101240020 is an apocalyptic number.

2101240020 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 2101240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403884960).

2101240020 is an abundant number, since it is smaller than the sum of its proper divisors (4706529900).

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

2101240020 is a wasteful number, since it uses less digits than its factorization.

2101240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15286 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2101240020 is about 45839.2846802827. The cubic root of 2101240020 is about 1280.8311699599.

Adding to 2101240020 its reverse (200421012), we get a palindrome (2301661032).

The spelling of 2101240020 in words is "two billion, one hundred one million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1452 1815 2090 2299 2420 2508 3135 3630 4180 4598 6270 6897 7260 9196 11495 12540 13794 15233 22990 27588 30466 34485 45699 45980 60932 68970 76165 91398 137940 152330 167563 182796 228495 289427 304660 335126 456990 502689 578854 670252 837815 868281 913980 1005378 1157708 1447135 1675630 1736562 1843193 2010756 2513445 2894270 3183697 3351260 3473124 3686386 4341405 5026890 5529579 5788540 6367394 7372772 8682810 9215965 9551091 10053780 11059158 12734788 15918485 17365620 18431930 19102182 22118316 27647895 31836970 35020667 36863860 38204364 47755455 55295790 63673940 70041334 95510910 105062001 110591580 140082668 175103335 191021820 210124002 350206670 420248004 525310005 700413340 1050620010 2101240020