Search a number
-
+
100110000011000 = 2353719752706767
BaseRepresentation
bin10110110000110010101100…
…111111010011011011111000
3111010110102102000202001202012
4112300302230333103123320
5101110200240000323000
6552525522112425052
730041465060616620
oct2660625477233370
9433412360661665
10100110000011000
112999745a164581
12b289ba4548188
1343b2442647b55
141aa14c7dd9880
15b891568ba735
hex5b0cacfd36f8

100110000011000 has 128 divisors (see below), whose sum is σ = 281813413939200. Its totient is φ = 32516932291200.

The previous prime is 100110000010877. The next prime is 100110000011011. The reversal of 100110000011000 is 110000011001.

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, 376220384 + ... + 376486383.

It is an arithmetic number, because the mean of its divisors is an integer number (2201667296400).

Almost surely, 2100110000011000 is an apocalyptic number.

100110000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110000011000 is an abundant number, since it is smaller than the sum of its proper divisors (181703413928200).

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

100110000011000 is a wasteful number, since it uses less digits than its factorization.

100110000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752706814 (or 752706800 counting only the distinct ones).

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

Adding to 100110000011000 its reverse (110000011001), we get a palindrome (100220000022001).

Subtracting from 100110000011000 its reverse (110000011001), we obtain a palindrome (99999999999999).

The spelling of 100110000011000 in words is "one hundred trillion, one hundred ten billion, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 66500 133000 752706767 1505413534 3010827068 3763533835 5268947369 6021654136 7527067670 10537894738 14301428573 15054135340 18817669175 21075789476 26344736845 28602857146 30108270680 37635338350 42151578952 52689473690 57205714292 71507142865 75270676700 94088345875 100110000011 105378947380 114411428584 131723684225 143014285730 150541353400 188176691750 200220000022 210757894760 263447368450 286028571460 357535714325 376353383500 400440000044 500550000055 526894736900 572057142920 658618421125 715071428650 752706767000 800880000088 1001100000110 1053789473800 1317236842250 1430142857300 1787678571625 2002200000220 2502750000275 2634473684500 2860285714600 3575357143250 4004400000440 5005500000550 5268947369000 7150714286500 10011000001100 12513750001375 14301428573000 20022000002200 25027500002750 50055000005500 100110000011000