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1122020319 = 37193897229
BaseRepresentation
bin100001011100000…
…1010101111011111
32220012021112112010
41002320022233133
54244214122234
6303200442303
736543005160
oct10270125737
92805245463
101122020319
11526395522
12273919393
1314b5c0864
14a9031767
15687856e9
hex42e0abdf

1122020319 has 32 divisors (see below), whose sum is σ = 1804608000. Its totient is φ = 605764224.

The previous prime is 1122020239. The next prime is 1122020323. The reversal of 1122020319 is 9130202211.

It is not a de Polignac number, because 1122020319 - 27 = 1122020191 is a prime.

It is a super-2 number, since 2×11220203192 = 2517859192497723522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1122020295 and 1122020304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122020329) by changing a digit.

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, 151597 + ... + 158825.

It is an arithmetic number, because the mean of its divisors is an integer number (56394000).

Almost surely, 21122020319 is an apocalyptic number.

1122020319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1122020319 is a deficient number, since it is larger than the sum of its proper divisors (682587681).

1122020319 is a wasteful number, since it uses less digits than its factorization.

1122020319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1122020319 is about 33496.5717499567. The cubic root of 1122020319 is about 1039.1228794788.

The spelling of 1122020319 in words is "one billion, one hundred twenty-two million, twenty thousand, three hundred nineteen".

Divisors: 1 3 7 19 21 57 133 389 399 1167 2723 7229 7391 8169 21687 22173 50603 51737 137351 151809 155211 412053 961457 2812081 2884371 8436243 19684567 53429539 59053701 160288617 374006773 1122020319