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101100310402300 = 2252111016911316923
BaseRepresentation
bin10110111111001101000000…
…000101101001010011111100
3111020222002120110110100220221
4112333031000011221103330
5101222411413430333200
6555004501425151124
730203153640222616
oct2677150005512374
9436862513410827
10101100310402300
112a2394455a6aa0
12b409b0148b4a4
134454945321a01
141ad73d15d9db6
15ba4cb763691a
hex5bf3401694fc

101100310402300 has 144 divisors (see below), whose sum is σ = 242051600456064. Its totient is φ = 36347047200000.

The previous prime is 101100310402297. The next prime is 101100310402307. The reversal of 101100310402300 is 3204013001101.

101100310402300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100310402307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76111639 + ... + 77428561.

It is an arithmetic number, because the mean of its divisors is an integer number (1680913892056).

Almost surely, 2101100310402300 is an apocalyptic number.

101100310402300 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 101100310402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121025800228032).

101100310402300 is an abundant number, since it is smaller than the sum of its proper divisors (140951290053764).

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

101100310402300 is a wasteful number, since it uses less digits than its factorization.

101100310402300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317740 (or 1317733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101100310402300 its reverse (3204013001101), we get a palindrome (104304323403401).

The spelling of 101100310402300 in words is "one hundred one trillion, one hundred billion, three hundred ten million, four hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 691 1010 1100 1111 1382 2020 2222 2525 2764 3455 4444 5050 5555 6910 7601 10100 11110 13820 15202 17275 22220 27775 30404 34550 38005 55550 69100 69791 76010 111100 139582 152020 190025 279164 348955 380050 697910 760100 767701 1316923 1395820 1535402 1744775 2633846 3070804 3489550 3838505 5267692 6584615 6979100 7677010 13169230 14486153 15354020 19192525 26338460 28972306 32923075 38385050 57944612 65846150 72430765 76770100 131692300 133009223 144861530 266018446 289723060 362153825 532036892 665046115 724307650 909993793 1330092230 1448615300 1463101453 1819987586 2660184460 2926202906 3325230575 3639975172 4549968965 5852405812 6650461150 7315507265 9099937930 10009931723 13300922300 14631014530 18199875860 20019863446 22749844825 29262029060 36577536325 40039726892 45499689650 50049658615 73155072650 90999379300 91909373093 100099317230 146310145300 183818746186 200198634460 250248293075 367637492372 459546865465 500496586150 919093730930 1000993172300 1011003104023 1838187461860 2022006208046 2297734327325 4044012416092 4595468654650 5055015520115 9190937309300 10110031040230 20220062080460 25275077600575 50550155201150 101100310402300