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1002220021110 = 235711811534971
BaseRepresentation
bin11101001010110001111…
…01111110010101110110
310112210220102210011221010
432211120331332111312
5112410021311133420
62044225153133050
7132256642422540
oct16453075762566
93483812704833
101002220021110
1135704808a690
121422a155a186
13736801ba0b9
1436717216690
151b10b5da4e0
hexe958f7e576

1002220021110 has 128 divisors (see below), whose sum is σ = 3002553888768. Its totient is φ = 207996336000.

The previous prime is 1002220021063. The next prime is 1002220021111. The reversal of 1002220021110 is 111200222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002220021111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1605925 + ... + 2140895.

It is an arithmetic number, because the mean of its divisors is an integer number (23457452256).

Almost surely, 21002220021110 is an apocalyptic number.

1002220021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002220021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501276944384).

1002220021110 is an abundant number, since it is smaller than the sum of its proper divisors (2000333867658).

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

1002220021110 is a wasteful number, since it uses less digits than its factorization.

1002220021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535810.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002220021110 its reverse (111200222001), we get a palindrome (1113420243111).

The spelling of 1002220021110 in words is "one trillion, two billion, two hundred twenty million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 811 1155 1622 2310 2433 4055 4866 5677 8110 8921 11354 12165 17031 17842 24330 26763 28385 34062 44605 53526 56770 62447 85155 89210 124894 133815 170310 187341 267630 312235 374682 534971 624470 936705 1069942 1604913 1873410 2674855 3209826 3744797 5349710 5884681 7489594 8024565 11234391 11769362 16049130 17654043 18723985 22468782 29423405 35308086 37447970 41192767 56171955 58846810 82385534 88270215 112343910 123578301 176540430 205963835 247156602 411927670 433861481 617891505 867722962 1235783010 1301584443 2169307405 2603168886 3037030367 4338614810 4772476291 6074060734 6507922215 9111091101 9544952582 13015844430 14317428873 15185151835 18222182202 23862381455 28634857746 30370303670 33407334037 45555455505 47724762910 66814668074 71587144365 91110911010 100222002111 143174288730 167036670185 200444004222 334073340370 501110010555 1002220021110