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1010022122220 = 2235167317317983
BaseRepresentation
bin11101011001010100000…
…00101000001011101100
310120120001011210222120220
432230222000220023230
5113022011130402340
62051555303211340
7132654201246156
oct16545200501354
93516034728526
101010022122220
1135a39117a731
121438ba446b50
1374324730387
1436c574c7ad6
151b416543ed0
hexeb2a0282ec

1010022122220 has 96 divisors (see below), whose sum is σ = 2853980172288. Its totient is φ = 266881020672.

The previous prime is 1010022122177. The next prime is 1010022122257. The reversal of 1010022122220 is 222212200101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010022122220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3017349 + ... + 3335331.

It is an arithmetic number, because the mean of its divisors is an integer number (29728960128).

Almost surely, 21010022122220 is an apocalyptic number.

1010022122220 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 1010022122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426990086144).

1010022122220 is an abundant number, since it is smaller than the sum of its proper divisors (1843958050068).

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

1010022122220 is a wasteful number, since it uses less digits than its factorization.

1010022122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318479 (or 318477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1010022122220 its reverse (222212200101), we get a palindrome (1232234322321).

It can be divided in two parts, 101002 and 2122220, that added together give a palindrome (2223222).

The spelling of 1010022122220 in words is "one trillion, ten billion, twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 317 334 501 634 668 835 951 1002 1268 1585 1670 1902 2004 2505 3170 3340 3804 4755 5010 6340 9510 10020 19020 52939 105878 158817 211756 264695 317634 317983 529390 635268 635966 794085 953949 1058780 1271932 1588170 1589915 1907898 3176340 3179830 3815796 4769745 6359660 9539490 19078980 53103161 100800611 106206322 159309483 201601222 212412644 265515805 302401833 318618966 403202444 504003055 531031610 604803666 637237932 796547415 1008006110 1062063220 1209607332 1512009165 1593094830 2016012220 3024018330 3186189660 6048036660 16833702037 33667404074 50501106111 67334808148 84168510185 101002212222 168337020370 202004424444 252505530555 336674040740 505011061110 1010022122220