Search a number
-
+
1131022031232 = 27319155019467
BaseRepresentation
bin10000011101010110001…
…010101001100110000000
311000010100212111020101110
4100131112022221212000
5122012313114444412
62223330115203320
7144466531433202
oct20352612514600
94003325436343
101131022031232
113a67334a6235
12163248ba6540
1382868b22382
143ca55556772
151e6491add3c
hex107562a9980

1131022031232 has 64 divisors (see below), whose sum is σ = 3162397147200. Its totient is φ = 357164849664.

The previous prime is 1131022031203. The next prime is 1131022031261. The reversal of 1131022031232 is 2321302201311.

It is an interprime number because it is at equal distance from previous prime (1131022031203) and next prime (1131022031261).

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

It is a junction number, because it is equal to n+sod(n) for n = 1131022031199 and 1131022031208.

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, 77502438 + ... + 77517029.

It is an arithmetic number, because the mean of its divisors is an integer number (49412455425).

Almost surely, 21131022031232 is an apocalyptic number.

1131022031232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131022031232 is an abundant number, since it is smaller than the sum of its proper divisors (2031375115968).

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

1131022031232 is a wasteful number, since it uses less digits than its factorization.

1131022031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155019503 (or 155019491 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1131022031232 its reverse (2321302201311), we get a palindrome (3452324232543).

The spelling of 1131022031232 in words is "one trillion, one hundred thirty-one billion, twenty-two million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 155019467 310038934 465058401 620077868 930116802 1240155736 1860233604 2480311472 2945369873 3720467208 4960622944 5890739746 7440934416 8836109619 9921245888 11781479492 14881868832 17672219238 19842491776 23562958984 29763737664 35344438476 47125917968 59527475328 70688876952 94251835936 141377753904 188503671872 282755507808 377007343744 565511015616 1131022031232