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10031031120 = 24351117921227
BaseRepresentation
bin10010101011110010…
…10110001101010000
3221220002011011211010
421111321112031100
5131020420443440
64335211450520
7503402233455
oct112571261520
927802134733
1010031031120
11428828a170
121b3b456a40
13c3b263896
146b231d82c
153da98c580
hex255e56350

10031031120 has 160 divisors (see below), whose sum is σ = 34114245120. Its totient is φ = 2418065920.

The previous prime is 10031031107. The next prime is 10031031139. The reversal of 10031031120 is 2113013001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10031031096 and 10031031105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461947 + ... + 483173.

It is an arithmetic number, because the mean of its divisors is an integer number (213214032).

Almost surely, 210031031120 is an apocalyptic number.

10031031120 is a gapful number since it is divisible by the number (10) 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 10031031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17057122560).

10031031120 is an abundant number, since it is smaller than the sum of its proper divisors (24083214000).

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

10031031120 is a wasteful number, since it uses less digits than its factorization.

10031031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21433 (or 21427 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10031031120 its reverse (2113013001), we get a palindrome (12144044121).

The spelling of 10031031120 in words is "ten billion, thirty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 179 220 240 264 330 358 440 528 537 660 716 880 895 1074 1320 1432 1790 1969 2148 2640 2685 2864 3580 3938 4296 5370 5907 7160 7876 8592 9845 10740 11814 14320 15752 19690 21227 21480 23628 29535 31504 39380 42454 42960 47256 59070 63681 78760 84908 94512 106135 118140 127362 157520 169816 212270 233497 236280 254724 318405 339632 424540 466994 472560 509448 636810 700491 849080 933988 1018896 1167485 1273620 1400982 1698160 1867976 2334970 2547240 2801964 3502455 3735952 3799633 4669940 5094480 5603928 7004910 7599266 9339880 11207856 11398899 14009820 15198532 18679760 18998165 22797798 28019640 30397064 37996330 41795963 45595596 56039280 56994495 60794128 75992660 83591926 91191192 113988990 125387889 151985320 167183852 182382384 208979815 227977980 250775778 303970640 334367704 417959630 455955960 501551556 626939445 668735408 835919260 911911920 1003103112 1253878890 1671838520 2006206224 2507757780 3343677040 5015515560 10031031120