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1010222010020 = 225417917987121
BaseRepresentation
bin11101011001101011110…
…11001000111010100100
310120120120002221100002202
432230311323020322210
5113022413313310040
62052031203354032
7132662146255346
oct16546573107244
93516502840082
101010222010020
1135a483a96363
12143955382918
1374356c78592
1436c75c7b296
151b428d7a015
hexeb35ec8ea4

1010222010020 has 96 divisors (see below), whose sum is σ = 2213038195200. Its totient is φ = 387063705600.

The previous prime is 1010222010011. The next prime is 1010222010121. The reversal of 1010222010020 is 200102220101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1010222009983 and 1010222010010.

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, 11552060 + ... + 11639180.

It is an arithmetic number, because the mean of its divisors is an integer number (23052481200).

Almost surely, 21010222010020 is an apocalyptic number.

1010222010020 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 1010222010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106519097600).

1010222010020 is an abundant number, since it is smaller than the sum of its proper divisors (1202816185180).

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

1010222010020 is a wasteful number, since it uses less digits than its factorization.

1010222010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87429 (or 87427 counting only the distinct ones).

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

Adding to 1010222010020 its reverse (200102220101), we get a palindrome (1210324230121).

The spelling of 1010222010020 in words is "one trillion, ten billion, two hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 79 82 158 164 179 205 316 358 395 410 716 790 820 895 1580 1790 3239 3580 6478 7339 12956 14141 14678 16195 28282 29356 32390 36695 56564 64780 70705 73390 87121 141410 146780 174242 282820 348484 435605 579781 871210 1159562 1742420 2319124 2898905 3571961 5797810 6882559 7143922 11595620 13765118 14287844 15594659 17859805 27530236 31189318 34412795 35719610 62378636 68825590 71439220 77973295 137651180 155946590 282184919 311893180 564369838 639381019 1128739676 1231978061 1278762038 1410924595 2463956122 2557524076 2821849190 3196905095 4927912244 5643698380 6159890305 6393810190 12319780610 12787620380 24639561220 50511100501 101022201002 202044402004 252555502505 505111005010 1010222010020