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1111000202010 = 233597199921221
BaseRepresentation
bin10000001010101100110…
…001011011101100011010
310221012200111212221002000
4100022230301123230122
5121200312022431020
62210215250021430
7143160422621226
oct20125461335432
93835614787060
101111000202010
11399199717636
1215b39b877876
13809c7a7384a
143bab63cb786
151dd76580090
hex102acc5bb1a

1111000202010 has 128 divisors (see below), whose sum is σ = 2994848640000. Its totient is φ = 293051934720.

The previous prime is 1111000201967. The next prime is 1111000202021. The reversal of 1111000202010 is 102020001111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1111000201983 and 1111000202001.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 52343200 + ... + 52364420.

It is an arithmetic number, because the mean of its divisors is an integer number (23397255000).

Almost surely, 21111000202010 is an apocalyptic number.

1111000202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111000202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497424320000).

1111000202010 is an abundant number, since it is smaller than the sum of its proper divisors (1883848437990).

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

1111000202010 is a wasteful number, since it uses less digits than its factorization.

1111000202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23333 (or 23327 counting only the distinct ones).

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

Adding to 1111000202010 its reverse (102020001111), we get a palindrome (1213020203121).

It can be divided in two parts, 1111000 and 202010, that added together give a triangular number (1313010 = T1620).

The spelling of 1111000202010 in words is "one trillion, one hundred eleven billion, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1455 1746 1999 2619 2910 3998 4365 5238 5997 8730 9995 11994 13095 17991 19990 21221 26190 29985 35982 42442 53973 59970 63663 89955 106105 107946 127326 179910 190989 193903 212210 269865 318315 381978 387806 539730 572967 581709 636630 954945 969515 1145934 1163418 1745127 1909890 1939030 2058437 2864835 2908545 3490254 4116874 5235381 5729670 5817090 6175311 8725635 10292185 10470762 12350622 17451270 18525933 20584370 26176905 30876555 37051866 42420779 52353810 55577799 61753110 84841558 92629665 111155598 127262337 185259330 212103895 254524674 277888995 381787011 424207790 555777990 636311685 763574022 1145361033 1272623370 1908935055 2290722066 3817870110 4114815563 5726805165 8229631126 11453610330 12344446689 20574077815 24688893378 37033340067 41148155630 61722233445 74066680134 111100020201 123444466890 185166700335 222200040402 370333400670 555500101005 1111000202010