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11221010010120 = 23351723239151961
BaseRepresentation
bin1010001101001001100001…
…0100001101000000001000
31110201201101110222110110210
42203102120110031000020
52432321112030310440
635510505535041120
72235456042236211
oct243223024150010
943651343873423
1011221010010120
11363689268a739
1213128596701a0
136351a1451381
142ab157b34408
15146d3e3a6a80
hexa349850d008

11221010010120 has 128 divisors (see below), whose sum is σ = 37192913130240. Its totient is φ = 2693807677440.

The previous prime is 11221010010113. The next prime is 11221010010131. The reversal of 11221010010120 is 2101001012211.

It is a super-2 number, since 2×112210100101202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11221010010096 and 11221010010105.

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, 119529061 + ... + 119622900.

It is an arithmetic number, because the mean of its divisors is an integer number (290569633830).

Almost surely, 211221010010120 is an apocalyptic number.

11221010010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221010010120 is an abundant number, since it is smaller than the sum of its proper divisors (25971903120120).

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

11221010010120 is a wasteful number, since it uses less digits than its factorization.

11221010010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239152015 (or 239152011 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221010010120 its reverse (2101001012211), we get a palindrome (13322011022331).

The spelling of 11221010010120 in words is "eleven trillion, two hundred twenty-one billion, ten million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4692 5865 7820 9384 11730 15640 23460 46920 239151961 478303922 717455883 956607844 1195759805 1434911766 1913215688 2391519610 2869823532 3587279415 4065583337 4783039220 5500495103 5739647064 7174558830 8131166674 9566078440 11000990206 12196750011 14349117660 16262333348 16501485309 20327916685 22001980412 24393500022 27502475515 28698235320 32524666696 33002970618 40655833370 44003960824 48787000044 55004951030 60983750055 66005941236 81311666740 82507426545 93508416751 97574000088 110009902060 121967500110 132011882472 162623333480 165014853090 187016833502 220019804120 243935000220 280525250253 330029706180 374033667004 467542083755 487870000440 561050500506 660059412360 748067334008 935084167510 1122101001012 1402626251265 1870168335020 2244202002024 2805252502530 3740336670040 5610505005060 11221010010120