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1110201000120 = 233352039504151
BaseRepresentation
bin10000001001111101001…
…000101110000010111000
310221010121211001021012000
4100021331020232002320
5121142142424000440
62210004100221000
7143131546540452
oct20117510560270
93833554037160
101110201000120
11398919581403
1215b1b809a760
13808cb310014
143ba3c1cd2d2
151dd2b314730
hex1027d22e0b8

1110201000120 has 128 divisors (see below), whose sum is σ = 3702492288000. Its totient is φ = 295907817600.

The previous prime is 1110201000119. The next prime is 1110201000121. The reversal of 1110201000120 is 210001020111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1110201000119) and next prime (1110201000121).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110201000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950045 + ... + 2454195.

It is an arithmetic number, because the mean of its divisors is an integer number (28925721000).

Almost surely, 21110201000120 is an apocalyptic number.

1110201000120 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 1110201000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851246144000).

1110201000120 is an abundant number, since it is smaller than the sum of its proper divisors (2592291287880).

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

1110201000120 is a wasteful number, since it uses less digits than its factorization.

1110201000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506210 (or 506200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110201000120 its reverse (210001020111), we get a palindrome (1320202020231).

The spelling of 1110201000120 in words is "one trillion, one hundred ten billion, two hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2039 4078 6117 8156 10195 12234 16312 18351 20390 24468 30585 36702 40780 48936 55053 61170 73404 81560 91755 110106 122340 146808 183510 220212 244680 275265 367020 440424 504151 550530 734040 1008302 1101060 1512453 2016604 2202120 2520755 3024906 4033208 4537359 5041510 6049812 7562265 9074718 10083020 12099624 13612077 15124530 18149436 20166040 22686795 27224154 30249060 36298872 45373590 54448308 60498120 68060385 90747180 108896616 136120770 181494360 272241540 544483080 1027963889 2055927778 3083891667 4111855556 5139819445 6167783334 8223711112 9251675001 10279638890 12335566668 15419458335 18503350002 20559277780 24671133336 27755025003 30838916670 37006700004 41118555560 46258375005 55510050006 61677833340 74013400008 92516750010 111020100012 123355666680 138775125015 185033500020 222040200024 277550250030 370067000040 555100500060 1110201000120