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1030122301120 = 26511909132191
BaseRepresentation
bin11101111110110000001…
…00101110011011000000
310122110220222211212110021
432333120010232123000
5113334142302113440
62105122011543224
7134265251041633
oct16773004563300
93573828755407
101030122301120
11367966202630
12147789a5ab14
13761a8ab2063
1437c02c09c1a
151bbe0e9c84a
hexefd812e6c0

1030122301120 has 112 divisors (see below), whose sum is σ = 2676354287616. Its totient is φ = 374537088000.

The previous prime is 1030122301001. The next prime is 1030122301183. The reversal of 1030122301120 is 211032210301.

1030122301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301223011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1030122301094 and 1030122301103.

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, 31984225 + ... + 32016415.

Almost surely, 21030122301120 is an apocalyptic number.

1030122301120 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 1030122301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338177143808).

1030122301120 is an abundant number, since it is smaller than the sum of its proper divisors (1646231986496).

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

1030122301120 is a wasteful number, since it uses less digits than its factorization.

1030122301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41310 (or 41300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1030122301120 its reverse (211032210301), we get a palindrome (1241154511421).

The spelling of 1030122301120 in words is "one trillion, thirty billion, one hundred twenty-two million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 9091 18182 32191 36364 45455 64382 72728 90910 100001 128764 145456 160955 181820 200002 257528 290912 321910 354101 363640 400004 500005 515056 581824 643820 708202 727280 800008 1000010 1030112 1287640 1416404 1454560 1600016 1770505 2000020 2060224 2575280 2832808 2909120 3200032 3541010 4000040 5150560 5665616 6400064 7082020 8000080 10301120 11331232 14164040 16000160 22662464 28328080 32000320 56656160 113312320 292648381 585296762 1170593524 1463241905 2341187048 2926483810 3219132191 4682374096 5852967620 6438264382 9364748192 11705935240 12876528764 16095660955 18729496384 23411870480 25753057528 32191321910 46823740960 51506115056 64382643820 93647481920 103012230112 128765287640 206024460224 257530575280 515061150560 1030122301120