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1012123031100 = 2235265322732
BaseRepresentation
bin11101011101001110011…
…10111101011000111100
310120202110121001012202220
432232213032331120330
5113040311443443400
62052543553045340
7133060231550016
oct16564716753074
93522417035686
101012123031100
1136026a079665
121441a5b56850
137459aa78b1c
1436db652d1b6
151b4dabda7a0
hexeba73bd63c

1012123031100 has 108 divisors (see below), whose sum is σ = 2934184736616. Its totient is φ = 269367592960.

The previous prime is 1012123031093. The next prime is 1012123031159. The reversal of 1012123031100 is 11303212101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012123031100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 445279564 + ... + 445281836.

Almost surely, 21012123031100 is an apocalyptic number.

1012123031100 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 1012123031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467092368308).

1012123031100 is an abundant number, since it is smaller than the sum of its proper divisors (1922061705516).

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

1012123031100 is an equidigital number, since it uses as much as digits as its factorization.

1012123031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1012123031100 its reverse (11303212101), we get a palindrome (1023426243201).

The spelling of 1012123031100 in words is "one trillion, twelve billion, one hundred twenty-three million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 653 1306 1959 2273 2612 3265 3918 4546 6530 6819 7836 9092 9795 11365 13060 13638 16325 19590 22730 27276 32650 34095 39180 45460 48975 56825 65300 68190 97950 113650 136380 170475 195900 227300 340950 681900 1484269 2968538 4452807 5166529 5937076 7421345 8905614 10333058 14842690 15499587 17811228 20666116 22264035 25832645 29685380 30999174 37106725 44528070 51665290 61998348 74213450 77497935 89056140 103330580 111320175 129163225 148426900 154995870 222640350 258326450 309991740 387489675 445280700 516652900 774979350 1549958700 3373743437 6747486874 10121230311 13494973748 16868717185 20242460622 33737434370 40484921244 50606151555 67474868740 84343585925 101212303110 168687171850 202424606220 253030757775 337374343700 506061515550 1012123031100