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110010000011000 = 23531391960940361
BaseRepresentation
bin11001000000110110110010…
…111110001110111011111000
3112102111212001001022222022212
4121000312302332032323320
5103404400440000323000
61025545521334434252
732112650232305555
oct3100666276167370
9472455031288285
10110010000011000
1132063a850624a1
1210408812502988
13494cb8ac9392b
141d247260a7a2c
15cab92c5c3c35
hex640db2f8eef8

110010000011000 has 128 divisors (see below), whose sum is σ = 259295013432000. Its totient is φ = 43684114176000.

The previous prime is 110010000010973. The next prime is 110010000011027. The reversal of 110010000011000 is 110000010011.

It is an interprime number because it is at equal distance from previous prime (110010000010973) and next prime (110010000011027).

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

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, 2725630820 + ... + 2725671180.

Almost surely, 2110010000011000 is an apocalyptic number.

110010000011000 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 110010000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129647506716000).

110010000011000 is an abundant number, since it is smaller than the sum of its proper divisors (149285013421000).

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

110010000011000 is a wasteful number, since it uses less digits than its factorization.

110010000011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60130 (or 60116 counting only the distinct ones).

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

Adding to 110010000011000 its reverse (110000010011), we get a palindrome (110120000021011).

The spelling of 110010000011000 in words is "one hundred ten trillion, ten billion, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 500 556 695 1000 1112 1390 2780 3475 5560 6950 13900 17375 19609 27800 34750 39218 40361 69500 78436 80722 98045 139000 156872 161444 196090 201805 322888 392180 403610 490225 784360 807220 980450 1009025 1614440 1960900 2018050 2451125 2725651 3921800 4036100 4902250 5045125 5451302 5610179 8072200 9804500 10090250 10902604 11220358 13628255 19609000 20180500 21805208 22440716 27256510 28050895 40361000 44881432 54513020 56101790 68141275 109026040 112203580 136282550 140254475 224407160 272565100 280508950 340706375 545130200 561017900 681412750 701272375 791438849 1122035800 1362825500 1402544750 1582877698 2725651000 2805089500 3165755396 3957194245 5610179000 6331510792 7914388490 15828776980 19785971225 31657553960 39571942450 79143884900 98929856125 110010000011 158287769800 197859712250 220020000022 395719424500 440040000044 550050000055 791438849000 880080000088 1100100000110 2200200000220 2750250000275 4400400000440 5500500000550 11001000001100 13751250001375 22002000002200 27502500002750 55005000005500 110010000011000