Search a number
-
+
3012131320192 = 27297431092137
BaseRepresentation
bin101011110101010001000…
…001000111000110000000
3101122221211121111012020101
4223311101001013012000
5343322321104221232
610223430511452144
7430422264530401
oct53652101070600
911587747435211
103012131320192
11a6148a671135
12407930827054
1318b072c53087
14a5b061399a8
15535447a41e7
hex2bd51047180

3012131320192 has 64 divisors (see below), whose sum is σ = 6216012640800. Its totient is φ = 1452173922304.

The previous prime is 3012131320169. The next prime is 3012131320223. The reversal of 3012131320192 is 2910231312103.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3012131320192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2211948 + ... + 3304084.

Almost surely, 23012131320192 is an apocalyptic number.

3012131320192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012131320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108006320400).

3012131320192 is an abundant number, since it is smaller than the sum of its proper divisors (3203881320608).

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

3012131320192 is a wasteful number, since it uses less digits than its factorization.

3012131320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092923 (or 1092911 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 3012131320192 its reverse (2910231312103), we get a palindrome (5922362632295).

The spelling of 3012131320192 in words is "three trillion, twelve billion, one hundred thirty-one million, three hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 743 928 1486 1856 2972 3712 5944 11888 21547 23776 43094 47552 86188 95104 172376 344752 689504 1092137 1379008 2184274 2758016 4368548 8737096 17474192 31671973 34948384 63343946 69896768 126687892 139793536 253375784 506751568 811457791 1013503136 1622915582 2027006272 3245831164 4054012544 6491662328 12983324656 23532275939 25966649312 47064551878 51933298624 94129103756 103866597248 188258207512 376516415024 753032830048 1506065660096 3012131320192