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2211020211220 = 2253167101526993
BaseRepresentation
bin100000001011001011000…
…100110000010000010100
321211101000210121021021121
4200023023010300100110
5242211132133224340
64411421220253324
7315512066463532
oct40131304602024
97741023537247
102211020211220
117827632a4867
122b8616241244
13130662a36492
147902a3c3152
153c7a8b8494a
hex202cb130414

2211020211220 has 96 divisors (see below), whose sum is σ = 4912629636096. Its totient is φ = 834755328000.

The previous prime is 2211020211217. The next prime is 2211020211223. The reversal of 2211020211220 is 221120201122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2211020211217) and next prime (2211020211223).

It is a super-2 number, since 2×22110202112202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211020211194 and 2211020211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211020211223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3932044 + ... + 4459036.

It is an arithmetic number, because the mean of its divisors is an integer number (51173225376).

Almost surely, 22211020211220 is an apocalyptic number.

2211020211220 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 2211020211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456314818048).

2211020211220 is an abundant number, since it is smaller than the sum of its proper divisors (2701609424876).

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

2211020211220 is a wasteful number, since it uses less digits than its factorization.

2211020211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527201 (or 527199 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211020211220 its reverse (221120201122), we get a palindrome (2432140412342).

The spelling of 2211020211220 in words is "two trillion, two hundred eleven billion, twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 67 101 124 134 155 202 268 310 335 404 505 620 670 1010 1340 2020 2077 3131 4154 6262 6767 8308 10385 12524 13534 15655 20770 27068 31310 33835 41540 62620 67670 135340 209777 419554 526993 839108 1048885 1053986 2097770 2107972 2634965 4195540 5269930 10539860 16336783 32673566 35308531 53226293 65347132 70617062 81683915 106452586 141234124 163367830 176542655 212905172 266131465 326735660 353085310 532262930 706170620 1064525860 1094564461 1650015083 2189128922 3300030166 3566161631 4378257844 5472822305 6600060332 7132323262 8250075415 10945644610 14264646524 16500150830 17830808155 21891289220 33000301660 35661616310 71323232620 110551010561 221102021122 442204042244 552755052805 1105510105610 2211020211220