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11031210320020 = 22511378231646641
BaseRepresentation
bin1010000010000110011101…
…0111110110000010010100
31110001120111000101012121221
42200201213113312002110
52421213404320220040
635243400145020124
72215656450422062
oct240414727660224
943046430335557
1011031210320020
113573345708320
1212a1b0a024644
13620314484a37
142a1cb0639032
15141e316ab74a
hexa08675f6094

11031210320020 has 96 divisors (see below), whose sum is σ = 25986065769216. Its totient is φ = 3898189670400.

The previous prime is 11031210320003. The next prime is 11031210320029. The reversal of 11031210320020 is 2002301213011.

It is a super-2 number, since 2×110312103200202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11031210319976 and 11031210320003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031210320029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5875900 + ... + 7522540.

It is an arithmetic number, because the mean of its divisors is an integer number (270688185096).

Almost surely, 211031210320020 is an apocalyptic number.

11031210320020 is a gapful number since it is divisible by the number (10) 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 11031210320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12993032884608).

11031210320020 is an abundant number, since it is smaller than the sum of its proper divisors (14954855449196).

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

11031210320020 is a wasteful number, since it uses less digits than its factorization.

11031210320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647521 (or 1647519 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11031210320020 its reverse (2002301213011), we get a palindrome (13033511533031).

The spelling of 11031210320020 in words is "eleven trillion, thirty-one billion, two hundred ten million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 823 1628 1646 2035 3292 4070 4115 8140 8230 9053 16460 18106 30451 36212 45265 60902 90530 121804 152255 181060 304510 334961 609020 669922 1339844 1646641 1674805 3293282 3349610 6586564 6699220 8233205 16466410 18113051 32932820 36226102 60925717 72452204 90565255 121851434 181130510 243702868 304628585 362261020 609257170 670182887 1218514340 1340365774 1355185543 2680731548 2710371086 3350914435 5420742172 6701828870 6775927715 13403657740 13551855430 14907040973 27103710860 29814081946 50141865091 59628163892 74535204865 100283730182 149070409730 200567460364 250709325455 298140819460 501418650910 551560516001 1002837301820 1103121032002 2206242064004 2757802580005 5515605160010 11031210320020