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20120211010020 = 22351128393303193
BaseRepresentation
bin1001001001100100110100…
…00001111011000111100100
32122020110210002200112111010
410210302122001323013210
510114122143004310040
6110443033005142220
74144431404525562
oct444623201730744
978213702615433
1020120211010020
116457a2a645100
12230b521b5a970
13b2c43510b8b4
144d7b75610a32
1524d58d61ce80
hex124c9a07b1e4

20120211010020 has 144 divisors (see below), whose sum is σ = 61997516058240. Its totient is φ = 4871811816960.

The previous prime is 20120211010019. The next prime is 20120211010033. The reversal of 20120211010020 is 2001011202102.

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 = 20120211009978 and 20120211010005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4439544 + ... + 7742736.

It is an arithmetic number, because the mean of its divisors is an integer number (430538305960).

Almost surely, 220120211010020 is an apocalyptic number.

20120211010020 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 20120211010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30998758029120).

20120211010020 is an abundant number, since it is smaller than the sum of its proper divisors (41877305048220).

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

20120211010020 is a wasteful number, since it uses less digits than its factorization.

20120211010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304066 (or 3304053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20120211010020 its reverse (2001011202102), we get a palindrome (22121222212122).

The spelling of 20120211010020 in words is "twenty trillion, one hundred twenty billion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 839 1210 1452 1678 1815 2420 2517 3356 3630 4195 5034 7260 8390 9229 10068 12585 16780 18458 25170 27687 36916 46145 50340 55374 92290 101519 110748 138435 184580 203038 276870 304557 406076 507595 553740 609114 1015190 1218228 1522785 2030380 3045570 3303193 6091140 6606386 9909579 13212772 16515965 19819158 33031930 36335123 39638316 49547895 66063860 72670246 99095790 109005369 145340492 181675615 198191580 218010738 363351230 399686353 436021476 545026845 726702460 799372706 1090053690 1199059059 1598745412 1998431765 2180107380 2398118118 2771378927 3996863530 4796236236 5542757854 5995295295 7993727060 8314136781 11085515708 11990590590 13856894635 16628273562 23981181180 27713789270 30485168197 33256547124 41570683905 55427578540 60970336394 83141367810 91455504591 121940672788 152425840985 166282735620 182911009182 304851681970 335336850167 365822018364 457277522955 609703363940 670673700334 914555045910 1006010550501 1341347400668 1676684250835 1829110091820 2012021101002 3353368501670 4024042202004 5030052752505 6706737003340 10060105505010 20120211010020