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1010202210220 = 2257191531248057
BaseRepresentation
bin11101011001101001011…
…11100110111110101100
310120120111201200101212211
432230310233212332230
5113022343231211340
62052025215140204
7132661516052110
oct16546457467654
93516451611784
101010202210220
1135a4738a2495
1214394a814664
1374352b35318
1436c733a5740
151b4272685ea
hexeb34be6fac

1010202210220 has 96 divisors (see below), whose sum is σ = 2553767032320. Its totient is φ = 327910187520.

The previous prime is 1010202210187. The next prime is 1010202210287. The reversal of 1010202210220 is 220122020101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010202210220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3948432 + ... + 4196488.

It is an arithmetic number, because the mean of its divisors is an integer number (26601739920).

Almost surely, 21010202210220 is an apocalyptic number.

1010202210220 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 1010202210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276883516160).

1010202210220 is an abundant number, since it is smaller than the sum of its proper divisors (1543564822100).

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

1010202210220 is a wasteful number, since it uses less digits than its factorization.

1010202210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249623 (or 249621 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1010202210220 its reverse (220122020101), we get a palindrome (1230324230321).

The spelling of 1010202210220 in words is "one trillion, ten billion, two hundred two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1531 2660 3062 6124 7655 10717 15310 21434 29089 30620 42868 53585 58178 107170 116356 145445 203623 214340 248057 290890 407246 496114 581780 814492 992228 1018115 1240285 1736399 2036230 2480570 3472798 4072460 4713083 4961140 6945596 8681995 9426166 17363990 18852332 23565415 32991581 34727980 47130830 65983162 94261660 131966324 164957905 329915810 379775267 659831620 759550534 1519101068 1898876335 2658426869 3797752670 5316853738 7215730073 7595505340 10633707476 13292134345 14431460146 26584268690 28862920292 36078650365 50510110511 53168537380 72157300730 101020221022 144314601460 202040442044 252550552555 505101105110 1010202210220