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11220211020220 = 22541101654720693
BaseRepresentation
bin1010001101000110100010…
…1100010011000110111100
31110201122022210112120101021
42203101220230103012330
52432312443010121340
635510254353553524
72235430201030456
oct243215054230674
943648283476337
1011220211020220
113636512679804
121312675b758a4
136350a4a63197
142ab0bd98d2d6
15146ce417de4a
hexa3468b131bc

11220211020220 has 96 divisors (see below), whose sum is σ = 24381019849536. Its totient is φ = 4334394624000.

The previous prime is 11220211020217. The next prime is 11220211020247. The reversal of 11220211020220 is 2202011202211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11220211020194 and 11220211020203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542212194 + ... + 542232886.

It is an arithmetic number, because the mean of its divisors is an integer number (253968956766).

Almost surely, 211220211020220 is an apocalyptic number.

11220211020220 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 11220211020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190509924768).

11220211020220 is an abundant number, since it is smaller than the sum of its proper divisors (13160808829316).

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

11220211020220 is a wasteful number, since it uses less digits than its factorization.

11220211020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27391 (or 27389 counting only the distinct ones).

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

Adding to 11220211020220 its reverse (2202011202211), we get a palindrome (13422222222431).

The spelling of 11220211020220 in words is "eleven trillion, two hundred twenty billion, two hundred eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 4141 6547 8282 13094 16564 20693 20705 26188 32735 41386 41410 65470 82772 82820 103465 130940 206930 268427 413860 536854 661247 848413 1073708 1322494 1342135 1696826 2089993 2644988 2684270 3306235 3393652 4179986 4242065 5368540 6612470 8359972 8484130 10449965 13224940 16968260 20899930 27111127 41799860 54222254 85689713 108444508 135477071 135555635 171379426 270954142 271111270 342758852 428448565 541908284 542222540 677385355 856897130 1354770710 1713794260 2709541420 5554559911 11109119822 13683184171 22218239644 27366368342 27772799555 54732736684 55545599110 68415920855 111091198220 136831841710 273663683420 561010551011 1122021102022 2244042204044 2805052755055 5610105510110 11220211020220