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1130220122319 = 321721939122409
BaseRepresentation
bin10000011100100110010…
…111100111000011001111
311000001021222120001011100
4100130212113213003033
5122004142322403234
62223114351354143
7144440623346301
oct20344627470317
94001258501140
101130220122319
113a63618811a2
12163064522953
138276b951662
143c9bac51971
151e5edaab399
hex107265e70cf

1130220122319 has 36 divisors (see below), whose sum is σ = 1734387707520. Its totient is φ = 709089507840.

The previous prime is 1130220122299. The next prime is 1130220122359. The reversal of 1130220122319 is 9132210220311.

1130220122319 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 220 + 122 + 319 = 666.

It is not a de Polignac number, because 1130220122319 - 25 = 1130220122287 is a prime.

It is a super-2 number, since 2×11302201223192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130220122292 and 1130220122301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130220122359) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50424787 + ... + 50447195.

It is an arithmetic number, because the mean of its divisors is an integer number (48177436320).

Almost surely, 21130220122319 is an apocalyptic number.

1130220122319 is a deficient number, since it is larger than the sum of its proper divisors (604167585201).

1130220122319 is a wasteful number, since it uses less digits than its factorization.

1130220122319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41840 (or 41820 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1130220122319 in words is "one trillion, one hundred thirty billion, two hundred twenty million, one hundred twenty-two thousand, three hundred nineteen".

Divisors: 1 3 9 17 51 153 289 867 2601 19391 22409 58173 67227 174519 201681 329647 380953 988941 1142859 2966823 3428577 5603999 6476201 16811997 19428603 50435991 58285809 434532919 1303598757 3910796271 7387059623 22161178869 66483536607 125580013591 376740040773 1130220122319