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110000101111092 = 22323786618069377
BaseRepresentation
bin11001000000101101100100…
…111100111011010100110100
3112102110220111011210202110100
4121000231210330323110310
5103404220201341023332
61025541203202554100
732112150023120223
oct3100554474732464
9472426434722410
10110000101111092
113205a865420485
121040690b368930
13494bc712138ca
141d24067540cba
15cab54d53667c
hex640b64f3b534

110000101111092 has 36 divisors (see below), whose sum is σ = 278056579913476. Its totient is φ = 36666598993920.

The previous prime is 110000101110961. The next prime is 110000101111097. The reversal of 110000101111092 is 290111101000011.

It can be written as a sum of positive squares in 2 ways, for example, as 56830278879396 + 53169822231696 = 7538586^2 + 7291764^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000101111097) 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 11 ways as a sum of consecutive naturals, for example, 9597108 + ... + 17666484.

Almost surely, 2110000101111092 is an apocalyptic number.

110000101111092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110000101111092 is an abundant number, since it is smaller than the sum of its proper divisors (168056478802384).

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

110000101111092 is a wasteful number, since it uses less digits than its factorization.

110000101111092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448048 (or 8448043 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 110000101111092 in words is "one hundred ten trillion, one hundred one million, one hundred eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 378661 757322 1135983 1514644 2271966 3407949 4543932 6815898 8069377 13631796 16138754 24208131 32277508 48416262 72624393 96832524 145248786 290497572 3055558364197 6111116728394 9166675092591 12222233456788 18333350185182 27500025277773 36666700370364 55000050555546 110000101111092