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210121133002110 = 232511523405819443
BaseRepresentation
bin101111110001101010100011…
…011111100000110101111110
31000112222101101000222101121100
4233301222203133200311332
5210020111040022031420
62022520152123113530
762154515361341511
oct5761524337406576
91015871330871540
10210121133002110
1160a50965807770
121b696a723728a6
1390324512689c5
1439c5cba748d78
151945aed68c190
hexbf1aa37e0d7e

210121133002110 has 96 divisors (see below), whose sum is σ = 597119483346048. Its totient is φ = 50841059693760.

The previous prime is 210121133002087. The next prime is 210121133002117. The reversal of 210121133002110 is 11200331121012.

210121133002110 is a `hidden beast` number, since 2 + 1 + 0 + 121 + 1 + 330 + 0 + 211 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210121133002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202391952 + ... + 203427491.

It is an arithmetic number, because the mean of its divisors is an integer number (6219994618188).

Almost surely, 2210121133002110 is an apocalyptic number.

210121133002110 is an abundant number, since it is smaller than the sum of its proper divisors (386998350343938).

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

210121133002110 is a wasteful number, since it uses less digits than its factorization.

210121133002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405819990 (or 405819987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 210121133002110 its reverse (11200331121012), we get a palindrome (221321464123122).

The spelling of 210121133002110 in words is "two hundred ten trillion, one hundred twenty-one billion, one hundred thirty-three million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 523 990 1046 1569 2615 3138 4707 5230 5753 7845 9414 11506 15690 17259 23535 28765 34518 47070 51777 57530 86295 103554 172590 258885 517770 405819443 811638886 1217458329 2029097215 2434916658 3652374987 4058194430 4464013873 6087291645 7304749974 8928027746 12174583290 13392041619 18261874935 22320069365 26784083238 36523749870 40176124857 44640138730 66960208095 80352249714 133920416190 200880624285 212243568689 401761248570 424487137378 636730706067 1061217843445 1273461412134 1910192118201 2122435686890 2334679255579 3183653530335 3820384236402 4669358511158 6367307060670 7004037766737 9550960591005 11673396277895 14008075533474 19101921182010 21012113300211 23346792555790 35020188833685 42024226600422 70040377667370 105060566501055 210121133002110