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220103321113302 = 2311101108733719011
BaseRepresentation
bin110010000010111011001100…
…010001001101001011010110
31001212022200010212222221110020
4302002323030101031023112
5212322133100201111202
62100042023025410010
764234640324324124
oct6202731421151326
91055280125887406
10220103321113302
116414a326761020
12208295b8a99906
1395a7867147743
143c4d0b4016914
151a6a5d49d35bc
hexc82ecc44d2d6

220103321113302 has 128 divisors (see below), whose sum is σ = 485624186044416. Its totient is φ = 65949956400000.

The previous prime is 220103321113289. The next prime is 220103321113303. The reversal of 220103321113302 is 203311123301022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103321113303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24426065977 + ... + 24426074987.

It is an arithmetic number, because the mean of its divisors is an integer number (3793938953472).

Almost surely, 2220103321113302 is an apocalyptic number.

220103321113302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220103321113302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242812093022208).

220103321113302 is an abundant number, since it is smaller than the sum of its proper divisors (265520864931114).

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

220103321113302 is a wasteful number, since it uses less digits than its factorization.

220103321113302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13586.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 220103321113302 its reverse (203311123301022), we get a palindrome (423414444414324).

The spelling of 220103321113302 in words is "two hundred twenty trillion, one hundred three billion, three hundred twenty-one million, one hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1087 1111 2174 2222 3261 3333 3371 6522 6666 6742 9011 10113 11957 18022 20226 23914 27033 35871 37081 54066 71742 74162 99121 109787 111243 198242 219574 222486 297363 329361 340471 594726 658722 680942 910111 1021413 1207657 1820222 2042826 2415314 2730333 3622971 3664277 3745181 5460666 7245942 7328554 7490362 9794957 10011221 10992831 11235543 19589914 20022442 21985662 22471086 29384871 30033663 30376081 40307047 58769742 60067326 60752162 80614094 91128243 107744527 120921141 182256486 215489054 241842282 323233581 334136891 370091977 646467162 668273782 740183954 989290657 1002410673 1110275931 1978581314 2004821346 2220551862 2967871971 3067984181 4071011747 5935743942 6135968362 8142023494 9203952543 10882197227 12213035241 18407905086 21764394454 24426070482 32646591681 33018800047 33747825991 65293183362 66037600094 67495651982 99056400141 101243477973 198112800282 202486955946 363206800517 726413601034 1089620401551 2179240803102 3334898804747 6669797609494 10004696414241 20009392828482 36683886852217 73367773704434 110051660556651 220103321113302