Search a number
-
+
2210110000020 = 22325135231805911
BaseRepresentation
bin100000001010010100110…
…100100100101110010100
321211021200100212202020200
4200022110310210232110
5242202301130000040
64411151023300500
7315450405015546
oct40122464445624
97737610782220
102210110000020
117823365286aa
122b840144a730
131305492a6080
1478d81569696
153c753cdc630
hex20294d24b94

2210110000020 has 144 divisors (see below), whose sum is σ = 7233501055872. Its totient is φ = 542986571520.

The previous prime is 2210110000001. The next prime is 2210110000051. The reversal of 2210110000020 is 200000110122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2210109999957 and 2210110000011.

It is a congruent number.

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, 320865 + ... + 2126775.

Almost surely, 22210110000020 is an apocalyptic number.

2210110000020 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 2210110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616750527936).

2210110000020 is an abundant number, since it is smaller than the sum of its proper divisors (5023391055852).

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

2210110000020 is a wasteful number, since it uses less digits than its factorization.

2210110000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806462 (or 1806457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2210110000020 its reverse (200000110122), we get a palindrome (2410110110142).

The spelling of 2210110000020 in words is "two trillion, two hundred ten billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 523 585 780 1046 1170 1569 2092 2340 2615 3138 4707 5230 6276 6799 7845 9414 10460 13598 15690 18828 20397 23535 27196 31380 33995 40794 47070 61191 67990 81588 94140 101985 122382 135980 203970 244764 305955 407940 611910 1223820 1805911 3611822 5417733 7223644 9029555 10835466 16253199 18059110 21670932 23476843 27088665 32506398 36118220 46953686 54177330 65012796 70430529 81265995 93907372 108354660 117384215 140861058 162531990 211291587 234768430 281722116 325063980 352152645 422583174 469536860 704305290 845166348 944491453 1056457935 1408610580 1888982906 2112915870 2833474359 3777965812 4225831740 4722457265 5666948718 8500423077 9444914530 11333897436 12278388889 14167371795 17000846154 18889829060 24556777778 28334743590 34001692308 36835166667 42502115385 49113555556 56669487180 61391944445 73670333334 85004230770 110505500001 122783888890 147340666668 170008461540 184175833335 221011000002 245567777780 368351666670 442022000004 552527500005 736703333340 1105055000010 2210110000020