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1022020220112 = 243236713817059
BaseRepresentation
bin11101101111101010010…
…01101111010011010000
310121201000100100111201220
432313311021233103100
5113221044134020422
62101302024125040
7133560420351333
oct16676511572320
93551010314656
101022020220112
11364488852211
121460a8606780
13754b737a198
1437674b6c61a
151b8b9a3ae5c
hexedf526f4d0

1022020220112 has 80 divisors (see below), whose sum is σ = 2796130798080. Its totient is φ = 320997891456.

The previous prime is 1022020220101. The next prime is 1022020220129. The reversal of 1022020220112 is 2110220202201.

It is a junction number, because it is equal to n+sod(n) for n = 1022020220091 and 1022020220100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6834562 + ... + 6982497.

It is an arithmetic number, because the mean of its divisors is an integer number (34951634976).

Almost surely, 21022020220112 is an apocalyptic number.

1022020220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022020220112 is an abundant number, since it is smaller than the sum of its proper divisors (1774110577968).

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

1022020220112 is a wasteful number, since it uses less digits than its factorization.

1022020220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817160 (or 13817154 counting only the distinct ones).

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

Adding to 1022020220112 its reverse (2110220202201), we get a palindrome (3132240422313).

The spelling of 1022020220112 in words is "one trillion, twenty-two billion, twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 67 69 92 134 138 184 201 268 276 368 402 536 552 804 1072 1104 1541 1608 3082 3216 4623 6164 9246 12328 18492 24656 36984 73968 13817059 27634118 41451177 55268236 82902354 110536472 165804708 221072944 317792357 331609416 635584714 663218832 925742953 953377071 1271169428 1851485906 1906754142 2542338856 2777228859 3702971812 3813508284 5084677712 5554457718 7405943624 7627016568 11108915436 14811887248 15254033136 21292087919 22217830872 42584175838 44435661744 63876263757 85168351676 127752527514 170336703352 255505055028 340673406704 511010110056 1022020220112