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101112132030 = 23571337037411
BaseRepresentation
bin101111000101011000…
…0001011000110111110
3100122222200022111120220
41132022300023012332
53124034201211110
6114241131522210
710206436640640
oct1361260130676
9318880274526
10101112132030
1139977187388
121771a2b9366
1396c504a530
144c72a3a890
15296bbba370
hex178ac0b1be

101112132030 has 64 divisors (see below), whose sum is σ = 298669690368. Its totient is φ = 21333548160.

The previous prime is 101112132013. The next prime is 101112132061. The reversal of 101112132030 is 30231211101.

It is a happy number.

It is a super-3 number, since 3×1011121320303 (a number of 34 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 18515976 + ... + 18521435.

It is an arithmetic number, because the mean of its divisors is an integer number (4666713912).

Almost surely, 2101112132030 is an apocalyptic number.

101112132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112132030 is an abundant number, since it is smaller than the sum of its proper divisors (197557558338).

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

101112132030 is a wasteful number, since it uses less digits than its factorization.

101112132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37037441.

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

Adding to 101112132030 its reverse (30231211101), we get a palindrome (131343343131).

The spelling of 101112132030 in words is "one hundred one billion, one hundred twelve million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 37037411 74074822 111112233 185187055 222224466 259261877 370374110 481486343 518523754 555561165 777785631 962972686 1111122330 1296309385 1444459029 1555571262 2407431715 2592618770 2888918058 3370404401 3888928155 4814863430 6740808802 7222295145 7777856310 10111213203 14444590290 16852022005 20222426406 33704044010 50556066015 101112132030