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1010100220220 = 2257132364311719
BaseRepresentation
bin11101011001011101010…
…10100011000100111100
310120120020121202202220102
432230232222203010330
5113022141124021340
62052011133140232
7132656140131140
oct16545652430474
93516217682812
101010100220220
1135a421271933
1214392062a678
1374337975b00
1436c63a17220
151b41d31e215
hexeb2eaa313c

1010100220220 has 144 divisors (see below), whose sum is σ = 2626009827840. Its totient is φ = 319565046528.

The previous prime is 1010100220219. The next prime is 1010100220237. The reversal of 1010100220220 is 220220010101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86187521 + ... + 86199239.

It is an arithmetic number, because the mean of its divisors is an integer number (18236179360).

Almost surely, 21010100220220 is an apocalyptic number.

1010100220220 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 1010100220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313004913920).

1010100220220 is an abundant number, since it is smaller than the sum of its proper divisors (1615909607620).

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

1010100220220 is a wasteful number, since it uses less digits than its factorization.

1010100220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15404 (or 15389 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1010100220220 its reverse (220220010101), we get a palindrome (1230320230321).

The spelling of 1010100220220 in words is "one trillion, ten billion, one hundred million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 3643 4732 5915 7286 11719 11830 14572 18215 23438 23660 25501 36430 46876 47359 51002 58595 72860 82033 94718 102004 117190 127505 152347 164066 189436 234380 236795 255010 304694 328132 331513 410165 473590 510020 609388 615667 663026 761735 820330 947180 1066429 1231334 1326052 1523470 1640660 1657565 1980511 2132858 2462668 3046940 3078335 3315130 3961022 4265716 4309669 5332145 6156670 6630260 7922044 8619338 9902555 10664290 12313340 13863577 17238676 19805110 21328580 21548345 27727154 39610220 42692317 43096690 55454308 69317885 85384634 86193380 138635770 170769268 213461585 277271540 298846219 426923170 555000121 597692438 853846340 1110000242 1195384876 1494231095 2220000484 2775000605 2988462190 3885000847 5550001210 5976924380 7215001573 7770001694 11100002420 14430003146 15540003388 19425004235 28860006292 36075007865 38850008470 50505011011 72150015730 77700016940 101010022022 144300031460 202020044044 252525055055 505050110110 1010100220220