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1010022222020 = 2257101173412891
BaseRepresentation
bin11101011001010100000…
…01000000100011000100
310120120001012000001111012
432230222001000203010
5113022011142101040
62051555305301352
7132654202143140
oct16545201004304
93516035001435
101010022222020
1135a391238709
121438ba494858
1374324766926
1436c57512220
151b416563865
hexeb2a0408c4

1010022222020 has 96 divisors (see below), whose sum is σ = 2462210424576. Its totient is φ = 340881984000.

The previous prime is 1010022221983. The next prime is 1010022222059. The reversal of 1010022222020 is 202222200101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1010022221986 and 1010022222004.

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, 2239775 + ... + 2652665.

It is an arithmetic number, because the mean of its divisors is an integer number (25648025256).

Almost surely, 21010022222020 is an apocalyptic number.

1010022222020 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 1010022222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231105212288).

1010022222020 is an abundant number, since it is smaller than the sum of its proper divisors (1452188202556).

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

1010022222020 is a wasteful number, since it uses less digits than its factorization.

1010022222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413181 (or 413179 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1010022222020 its reverse (202222200101), we get a palindrome (1212244422121).

The spelling of 1010022222020 in words is "one trillion, ten billion, twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 173 202 346 404 505 692 707 865 1010 1211 1414 1730 2020 2422 2828 3460 3535 4844 6055 7070 12110 14140 17473 24220 34946 69892 87365 122311 174730 244622 349460 412891 489244 611555 825782 1223110 1651564 2064455 2446220 2890237 4128910 5780474 8257820 11560948 14451185 28902370 41701991 57804740 71430143 83403982 142860286 166807964 208509955 285720572 291913937 357150715 417019910 500011001 583827874 714301430 834039820 1000022002 1167655748 1428602860 1459569685 2000044004 2500055005 2919139370 5000110010 5838278740 7214444443 10000220020 14428888886 28857777772 36072222215 50501111101 72144444430 101002222202 144288888860 202004444404 252505555505 505011111010 1010022222020