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190000111111000 = 23531071973900001
BaseRepresentation
bin101011001100110111011001…
…001000010100101101011000
3220220201211111102110211101021
4223030313121020110231120
5144400430211421023000
61512032502425532224
755010024606240041
oct5314673110245530
9826654442424337
10190000111111000
11555a365a47a703
1219387364944074
138202c1a167618
1434cc0a95798c8
1516e7513c9811a
hexaccdd9214b58

190000111111000 has 128 divisors (see below), whose sum is σ = 448983349738560. Its totient is φ = 75251520000000.

The previous prime is 190000111110937. The next prime is 190000111111003. The reversal of 190000111111000 is 111111000091.

It is a super-2 number, since 2×1900001111110002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190000111111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210661000 + ... + 211561000.

Almost surely, 2190000111111000 is an apocalyptic number.

190000111111000 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 190000111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224491674869280).

190000111111000 is an abundant number, since it is smaller than the sum of its proper divisors (258983238627560).

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

190000111111000 is a wasteful number, since it uses less digits than its factorization.

190000111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902102 (or 902088 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 190000111111000 its reverse (111111000091), we get a palindrome (190111222111091).

The spelling of 190000111111000 in words is "one hundred ninety trillion, one hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 1973 2140 2675 3946 4280 5350 7892 9865 10700 13375 15784 19730 21400 26750 39460 49325 53500 78920 98650 107000 197300 211111 246625 394600 422222 493250 844444 900001 986500 1055555 1688888 1800002 1973000 2111110 3600004 4222220 4500005 5277775 7200008 8444440 9000010 10555550 18000020 21111100 22500025 26388875 36000040 42222200 45000050 52777750 90000100 96300107 105555500 112500125 180000200 192600214 211111000 225000250 385200428 450000500 481500535 770400856 900001000 963001070 1775701973 1926002140 2407502675 3551403946 3852004280 4815005350 7102807892 8878509865 9630010700 12037513375 14205615784 17757019730 19260021400 24075026750 35514039460 44392549325 48150053500 71028078920 88785098650 96300107000 177570197300 190000111111 221962746625 355140394600 380000222222 443925493250 760000444444 887850986500 950000555555 1520000888888 1775701973000 1900001111110 3800002222220 4750002777775 7600004444440 9500005555550 19000011111100 23750013888875 38000022222200 47500027777750 95000055555500 190000111111000