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131022098128 = 24611271318069
BaseRepresentation
bin111101000000110000…
…1101000111011010000
3110112012011012012200001
41322001201220323100
54121313124120003
6140105110135344
712315564313165
oct1720141507320
9415164165601
10131022098128
1150625616629
1221487051554
13c48087b11c
1464ad12a06c
15361c95c61d
hex1e81868ed0

131022098128 has 80 divisors (see below), whose sum is σ = 262066083840. Its totient is φ = 63433843200.

The previous prime is 131022098087. The next prime is 131022098147. The reversal of 131022098128 is 821890220131.

It is a super-2 number, since 2×1310220981282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16233678 + ... + 16241746.

It is an arithmetic number, because the mean of its divisors is an integer number (3275826048).

Almost surely, 2131022098128 is an apocalyptic number.

It is an amenable number.

131022098128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

131022098128 is a wasteful number, since it uses less digits than its factorization.

131022098128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 131022098128 in words is "one hundred thirty-one billion, twenty-two million, ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 61 122 127 131 244 254 262 488 508 524 976 1016 1048 2032 2096 7747 7991 8069 15494 15982 16138 16637 30988 31964 32276 33274 61976 63928 64552 66548 123952 127856 129104 133096 266192 492209 984418 1014857 1024763 1057039 1968836 2029714 2049526 2114078 3937672 4059428 4099052 4228156 7875344 8118856 8198104 8456312 16237712 16396208 16912624 62510543 64479379 125021086 128958758 134243953 250042172 257917516 268487906 500084344 515835032 536975812 1000168688 1031670064 1073951624 2147903248 8188881133 16377762266 32755524532 65511049064 131022098128