Search a number
-
+
1131102132112 = 241723112376379
BaseRepresentation
bin10000011101011010111…
…100001101011110010000
311000010120110012210010201
4100131122330031132100
5122012444121211422
62223342100104544
7144501523326361
oct20353274153620
94003513183121
101131102132112
113a6774736207
1216326b995154
138287c5b9644
143ca62047b68
151e651232727
hex1075af0d790

1131102132112 has 120 divisors (see below), whose sum is σ = 2405422511360. Its totient is φ = 514615818240.

The previous prime is 1131102132079. The next prime is 1131102132119. The reversal of 1131102132112 is 2112312011311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131102132112.

It is not an unprimeable number, because it can be changed into a prime (1131102132119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177313339 + ... + 177319717.

Almost surely, 21131102132112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131102132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202711255680).

1131102132112 is an abundant number, since it is smaller than the sum of its proper divisors (1274320379248).

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

1131102132112 is a wasteful number, since it uses less digits than its factorization.

1131102132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1131102132112 its reverse (2112312011311), we get a palindrome (3243414143423).

The spelling of 1131102132112 in words is "one trillion, one hundred thirty-one billion, one hundred two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 289 496 527 578 1054 1156 1237 2108 2312 2474 4216 4624 4948 6379 8432 8959 9896 12758 17918 19792 21029 25516 35836 38347 42058 51032 71672 76694 84116 102064 108443 143344 153388 168232 197749 216886 306776 336464 357493 395498 433772 613552 651899 714986 790996 867544 1303798 1429972 1581992 1735088 1843531 2607596 2859944 3163984 3361733 3687062 5215192 5719888 6723466 7374124 7890823 10430384 11082283 13446932 14748248 15781646 22164566 26893864 29496496 31563292 44329132 53787728 57149461 63126584 88658264 114298922 126253168 134143991 177316528 228597844 244615513 268287982 457195688 489231026 536575964 914391376 978462052 1073151928 1956924104 2146303856 2280447847 3913848208 4158463721 4560895694 8316927442 9121791388 16633854884 18243582776 33267709768 36487165552 66535419536 70693883257 141387766514 282775533028 565551066056 1131102132112