Search a number
-
+
1310121110232 = 2332112295185559
BaseRepresentation
bin10011000100001001010…
…011011010101011011000
311122020122121000010100200
4103010021103122223120
5132431112001011412
62441510014102200
7163440010460364
oct23041123325330
94566577003320
101310121110232
1146568a237100
12191ab0aaa960
139670bc09c6c
14475a58362a4
152412c7579dc
hex131094daad8

1310121110232 has 144 divisors (see below), whose sum is σ = 4034624958000. Its totient is φ = 383316447360.

The previous prime is 1310121110219. The next prime is 1310121110279. The reversal of 1310121110232 is 2320111210131.

1310121110232 is a `hidden beast` number, since 1 + 310 + 12 + 1 + 110 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2340132 + ... + 2845427.

It is an arithmetic number, because the mean of its divisors is an integer number (28018228875).

Almost surely, 21310121110232 is an apocalyptic number.

1310121110232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310121110232 is an abundant number, since it is smaller than the sum of its proper divisors (2724503847768).

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

1310121110232 is a wasteful number, since it uses less digits than its factorization.

1310121110232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185622 (or 5185604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1310121110232 its reverse (2320111210131), we get a palindrome (3630232320363).

The spelling of 1310121110232 in words is "one trillion, three hundred ten billion, one hundred twenty-one million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 121 132 174 198 232 242 261 264 319 348 363 396 484 522 638 696 726 792 957 968 1044 1089 1276 1452 1914 2088 2178 2552 2871 2904 3509 3828 4356 5742 7018 7656 8712 10527 11484 14036 21054 22968 28072 31581 42108 63162 84216 126324 252648 5185559 10371118 15556677 20742236 31113354 41484472 46670031 57041149 62226708 93340062 114082298 124453416 150381211 171123447 186680124 228164596 300762422 342246894 373360248 451143633 456329192 513370341 601524844 627452639 684493788 902287266 1026740682 1203049688 1254905278 1353430899 1368987576 1654193321 1804574532 1882357917 2053481364 2509810556 2706861798 3308386642 3609149064 3764715834 4106962728 4962579963 5019621112 5413723596 5647073751 6616773284 7529431668 9925159926 10827447192 11294147502 13233546568 14887739889 15058863336 18196126531 19850319852 22588295004 29775479778 36392253062 39700639704 45176590008 54588379593 59550959556 72784506124 109176759186 119101919112 145569012248 163765138779 218353518372 327530277558 436707036744 655060555116 1310121110232