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1130220078 = 2313176189157
BaseRepresentation
bin100001101011101…
…1100101000101110
32220202201010110220
41003113130220232
54303314020303
6304052312210
740002466161
oct10327345056
92822633426
101130220078
1152aa86089
12276612666
13150201ba0
14aa167ad8
1569355053
hex435dca2e

1130220078 has 128 divisors (see below), whose sum is σ = 2666079360. Its totient is φ = 316293120.

The previous prime is 1130220059. The next prime is 1130220079. The reversal of 1130220078 is 8700220311.

1130220078 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130220079) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7198776 + ... + 7198932.

It is an arithmetic number, because the mean of its divisors is an integer number (20828745).

Almost surely, 21130220078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130220078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333039680).

1130220078 is an abundant number, since it is smaller than the sum of its proper divisors (1535859282).

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

1130220078 is a wasteful number, since it uses less digits than its factorization.

1130220078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1130220078 is about 33618.7459313996. The cubic root of 1130220078 is about 1041.6480520734.

Adding to 1130220078 its reverse (8700220311), we get a palindrome (9830440389).

The spelling of 1130220078 in words is "one billion, one hundred thirty million, two hundred twenty thousand, seventy-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 61 78 89 102 122 157 178 183 221 267 314 366 442 471 534 663 793 942 1037 1157 1326 1513 1586 2041 2074 2314 2379 2669 3026 3111 3471 4082 4539 4758 5338 5429 6123 6222 6942 8007 9078 9577 10858 12246 13481 13973 16014 16287 19154 19669 26962 27946 28731 32574 34697 39338 40443 41919 57462 59007 69394 70577 80886 83838 92293 104091 118014 124501 141154 162809 181649 184586 208182 211731 237541 249002 276879 325618 363298 373503 423462 475082 488427 544947 553758 712623 747006 852353 976854 1089894 1199809 1425246 1704706 2116517 2399618 2557059 3088033 3599427 4233034 5114118 6176066 6349551 7198854 9264099 11080589 12699102 14490001 18528198 22161178 28980002 33241767 43470003 66483534 86940006 188370013 376740026 565110039 1130220078