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110100011101020 = 223254931124045169
BaseRepresentation
bin11001000010001010101000…
…000011010010101101011100
3112102211110101002002010002200
4121002022220003102231130
5103412334310320213040
61030055125152451500
732122314625041543
oct3102125003225534
9472743332063080
10110100011101020
1132099174a68696
1210422152b49b90
134958504199945
141d28c2465115a
15cade498e1630
hex6422a80d2b5c

110100011101020 has 72 divisors (see below), whose sum is σ = 334037765028240. Its totient is φ = 29354048555520.

The previous prime is 110100011100979. The next prime is 110100011101043. The reversal of 110100011101020 is 20101110001011.

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 = 110100011100993 and 110100011101011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 61135005 + ... + 62910164.

It is an arithmetic number, because the mean of its divisors is an integer number (4639413403170).

Almost surely, 2110100011101020 is an apocalyptic number.

110100011101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100011101020 is an abundant number, since it is smaller than the sum of its proper divisors (223937753927220).

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

110100011101020 is a wasteful number, since it uses less digits than its factorization.

110100011101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124050115 (or 124050110 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110100011101020 its reverse (20101110001011), we get a palindrome (130201121102031).

The spelling of 110100011101020 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4931 9862 14793 19724 24655 29586 44379 49310 59172 73965 88758 98620 147930 177516 221895 295860 443790 887580 124045169 248090338 372135507 496180676 620225845 744271014 1116406521 1240451690 1488542028 1860677535 2232813042 2480903380 3721355070 4465626084 5582032605 7442710140 11164065210 22328130420 611666728339 1223333456678 1835000185017 2446666913356 3058333641695 3670000370034 5505000555051 6116667283390 7340000740068 9175000925085 11010001110102 12233334566780 18350001850170 22020002220204 27525002775255 36700003700340 55050005550510 110100011101020