Search a number
-
+
1023314120430 = 235737131700659
BaseRepresentation
bin11101110010000100100…
…01100100111011101110
310121211100112001110021220
432321002101210323232
5113231221403323210
62102034245004210
7133634451335430
oct16710221447356
93554315043256
101023314120430
11364a92163718
121463a99b3666
137566245a984
1437758942650
151b943423c70
hexee42464eee

1023314120430 has 64 divisors (see below), whose sum is σ = 2882664046080. Its totient is φ = 227578737024.

The previous prime is 1023314120363. The next prime is 1023314120449. The reversal of 1023314120430 is 340214133201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023314120430.

It is a congruent number.

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, 65842560 + ... + 65858099.

It is an arithmetic number, because the mean of its divisors is an integer number (45041625720).

Almost surely, 21023314120430 is an apocalyptic number.

1023314120430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023314120430 is an abundant number, since it is smaller than the sum of its proper divisors (1859349925650).

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

1023314120430 is a wasteful number, since it uses less digits than its factorization.

1023314120430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131700713.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1023314120430 its reverse (340214133201), we get a palindrome (1363528253631).

The spelling of 1023314120430 in words is "one trillion, twenty-three billion, three hundred fourteen million, one hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 7770 131700659 263401318 395101977 658503295 790203954 921904613 1317006590 1843809226 1975509885 2765713839 3951019770 4609523065 4872924383 5531427678 9219046130 9745848766 13828569195 14618773149 24364621915 27657138390 29237546298 34110470681 48729243830 68220941362 73093865745 102331412043 146187731490 170552353405 204662824086 341104706810 511657060215 1023314120430