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1110000011000 = 23534127199901
BaseRepresentation
bin10000001001110001001…
…010000000011011111000
310221010002210211221221112
4100021301022000123320
5121141240000323000
62205532120255452
7143123556263366
oct20116112003370
93833083757845
101110000011000
113988260832a1
1215b160911588
138089879a74a
143ba1d630636
151dd18862235
hex102712806f8

1110000011000 has 128 divisors (see below), whose sum is σ = 2670596248320. Its totient is φ = 431568000000.

The previous prime is 1110000010991. The next prime is 1110000011027. The reversal of 1110000011000 is 1100000111.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a zygodrome in base 10.

It is a congruent number.

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, 11061050 + ... + 11160950.

It is an arithmetic number, because the mean of its divisors is an integer number (20864033190).

Almost surely, 21110000011000 is an apocalyptic number.

1110000011000 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 1110000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335298124160).

1110000011000 is an abundant number, since it is smaller than the sum of its proper divisors (1560596237320).

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

1110000011000 is a wasteful number, since it uses less digits than its factorization.

1110000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100234 (or 100220 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1110000011000 its reverse (1100000111), we get a palindrome (1111100011111).

The spelling of 1110000011000 in words is "one trillion, one hundred ten billion, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 271 328 410 500 542 820 1000 1025 1084 1355 1640 2050 2168 2710 4100 5125 5420 6775 8200 10250 10840 11111 13550 20500 22222 27100 33875 41000 44444 54200 55555 67750 88888 99901 111110 135500 199802 222220 271000 277775 399604 444440 499505 555550 799208 999010 1111100 1388875 1998020 2222200 2497525 2777750 3996040 4095941 4995050 5555500 8191882 9990100 11111000 12487625 16383764 19980200 20479705 24975250 27073171 32767528 40959410 49950500 54146342 81918820 99901000 102398525 108292684 135365855 163837640 204797050 216585368 270731710 409594100 511992625 541463420 676829275 819188200 1023985250 1082926840 1110000011 1353658550 2047970500 2220000022 2707317100 3384146375 4095941000 4440000044 5414634200 5550000055 6768292750 8880000088 11100000110 13536585500 22200000220 27073171000 27750000275 44400000440 55500000550 111000001100 138750001375 222000002200 277500002750 555000005500 1110000011000