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1102121222000 = 245323233102829
BaseRepresentation
bin10000000010011011100…
…010110011111101110000
310220100202201112000021112
4100002123202303331300
5121024121013101000
62202150230412452
7142424406550151
oct20023342637560
93810681460245
101102121222000
11395452774527
12159722201128
137cc113b6816
143b4b30b9928
151da06d0b235
hex1009b8b3f70

1102121222000 has 160 divisors (see below), whose sum is σ = 2792757502080. Its totient is φ = 419867289600.

The previous prime is 1102121221963. The next prime is 1102121222009. The reversal of 1102121222000 is 2221212011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102121222009) 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, 10666586 + ... + 10769414.

It is an arithmetic number, because the mean of its divisors is an integer number (17454734388).

Almost surely, 21102121222000 is an apocalyptic number.

1102121222000 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 1102121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396378751040).

1102121222000 is an abundant number, since it is smaller than the sum of its proper divisors (1690636280080).

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

1102121222000 is a wasteful number, since it uses less digits than its factorization.

1102121222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103108 (or 103092 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1102121222000 its reverse (2221212011), we get a palindrome (1104342434011).

The spelling of 1102121222000 in words is "one trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 233 250 368 400 460 466 500 575 920 932 1000 1150 1165 1840 1864 2000 2300 2330 2875 3728 4600 4660 5359 5750 5825 9200 9320 10718 11500 11650 18640 21436 23000 23300 26795 29125 42872 46000 46600 53590 58250 85744 93200 102829 107180 116500 133975 205658 214360 233000 267950 411316 428720 466000 514145 535900 669875 822632 1028290 1071800 1339750 1645264 2056580 2143600 2365067 2570725 2679500 4113160 4730134 5141450 5359000 8226320 9460268 10282900 10718000 11825335 12853625 18920536 20565800 23650670 23959157 25707250 37841072 41131600 47301340 47918314 51414500 59126675 94602680 95836628 102829000 118253350 119795785 189205360 191673256 205658000 236506700 239591570 295633375 383346512 473013400 479183140 551060611 591266750 598978925 946026800 958366280 1102121222 1182533500 1197957850 1916732560 2204242444 2365067000 2395915700 2755303055 2994894625 4408484888 4730134000 4791831400 5510606110 5989789250 8816969776 9583662800 11021212220 11979578500 13776515275 22042424440 23959157000 27553030550 44084848880 47918314000 55106061100 68882576375 110212122200 137765152750 220424244400 275530305500 551060611000 1102121222000