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1001022010110 = 232535173162487
BaseRepresentation
bin11101001000100011000…
…11111011001011111110
310112200210221111220210100
432210101203323023332
5112400043113310420
62043510235421530
7132215154460233
oct16442143731376
93480727456710
101001022010110
11356592912251
121420082b48a6
137351bc41055
143664208378a
151b08b344190
hexe9118fb2fe

1001022010110 has 48 divisors (see below), whose sum is σ = 2603398071456. Its totient is φ = 266863218624.

The previous prime is 1001022010081. The next prime is 1001022010117. The reversal of 1001022010110 is 110102201001.

It is a happy number.

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 = 1001022010092 and 1001022010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001022010117) 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 23 ways as a sum of consecutive naturals, for example, 1264714 + ... + 1897773.

It is an arithmetic number, because the mean of its divisors is an integer number (54237459822).

Almost surely, 21001022010110 is an apocalyptic number.

1001022010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001022010110 is an abundant number, since it is smaller than the sum of its proper divisors (1602376061346).

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

1001022010110 is a wasteful number, since it uses less digits than its factorization.

1001022010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166017 (or 3166014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001022010110 its reverse (110102201001), we get a palindrome (1111124211111).

The spelling of 1001022010110 in words is "one trillion, one billion, twenty-two million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3517 7034 10551 17585 21102 31653 35170 52755 63306 105510 158265 316530 3162487 6324974 9487461 15812435 18974922 28462383 31624870 47437305 56924766 94874610 142311915 284623830 11122466779 22244933558 33367400337 55612333895 66734800674 100102201011 111224667790 166837001685 200204402022 333674003370 500511005055 1001022010110