Search a number
-
+
311020200192 = 2831353587771
BaseRepresentation
bin1001000011010100011…
…11111010000100000000
31002201210112101012102210
410201222033322010000
520043432132401232
6354514122142120
731320241040022
oct4415217720400
91081715335383
10311020200192
1110a9a2881869
1250340051940
1323437ca9820
14110a6990012
158154ddd5cc
hex486a3fa100

311020200192 has 144 divisors (see below), whose sum is σ = 908262911808. Its totient is φ = 93892730880.

The previous prime is 311020200167. The next prime is 311020200251. The reversal of 311020200192 is 291002020113.

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, 235267 + ... + 823037.

It is an arithmetic number, because the mean of its divisors is an integer number (6307381332).

Almost surely, 2311020200192 is an apocalyptic number.

311020200192 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 311020200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454131455904).

311020200192 is an abundant number, since it is smaller than the sum of its proper divisors (597242711616).

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

311020200192 is a wasteful number, since it uses less digits than its factorization.

311020200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587856 (or 587842 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 311020200192 in words is "three hundred eleven billion, twenty million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 256 312 318 384 416 424 624 636 689 768 832 848 1248 1272 1378 1664 1696 2067 2496 2544 2756 3328 3392 4134 4992 5088 5512 6784 8268 9984 10176 11024 13568 16536 20352 22048 33072 40704 44096 66144 88192 132288 176384 264576 529152 587771 1175542 1763313 2351084 3526626 4702168 7053252 7641023 9404336 14106504 15282046 18808672 22923069 28213008 30564092 31151863 37617344 45846138 56426016 61128184 62303726 75234688 91692276 93455589 112852032 122256368 124607452 150469376 183384552 186911178 225704064 244512736 249214904 366769104 373822356 404974219 451408128 489025472 498429808 733538208 747644712 809948438 978050944 996859616 1214922657 1467076416 1495289424 1619896876 1956101888 1993719232 2429845314 2934152832 2990578848 3239793752 3987438464 4859690628 5868305664 5981157696 6479587504 7974876928 9719381256 11962315392 12959175008 19438762512 23924630784 25918350016 38877525024 51836700032 77755050048 103673400064 155510100096 311020200192