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1012230302320 = 245176717536337
BaseRepresentation
bin11101011101011011010…
…00001010101001110000
310120202202001220011020001
432232231220022221300
5113041021424133240
62053002344155344
7133063003415056
oct16565550125160
93522661804201
101012230302320
11360314687066
12144215a68b54
13745b7067113
1436dc68941d6
151b4e532989a
hexebada0aa70

1012230302320 has 160 divisors (see below), whose sum is σ = 2530906993728. Its totient is φ = 375113908224.

The previous prime is 1012230302267. The next prime is 1012230302329. The reversal of 1012230302320 is 232030322101.

1012230302320 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 2×10122303023202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012230302329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159730192 + ... + 159736528.

Almost surely, 21012230302320 is an apocalyptic number.

1012230302320 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 1012230302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265453496864).

1012230302320 is an abundant number, since it is smaller than the sum of its proper divisors (1518676691408).

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

1012230302320 is a wasteful number, since it uses less digits than its factorization.

1012230302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8187 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1012230302320 its reverse (232030322101), we get a palindrome (1244260624421).

The spelling of 1012230302320 in words is "one trillion, twelve billion, two hundred thirty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 67 68 80 85 134 136 170 268 272 335 340 536 670 680 1072 1139 1340 1360 1753 2278 2680 3506 4556 5360 5695 6337 7012 8765 9112 11390 12674 14024 17530 18224 22780 25348 28048 29801 31685 35060 45560 50696 59602 63370 70120 91120 101392 107729 117451 119204 126740 140240 149005 215458 234902 238408 253480 298010 424579 430916 469804 476816 506960 538645 587255 596020 849158 861832 939608 1077290 1174510 1192040 1698316 1723664 1879216 1996667 2122895 2154580 2349020 2384080 3396632 3993334 4245790 4309160 4698040 6793264 7217843 7986668 8491580 8618320 9396080 9983335 11108761 14435686 15973336 16983160 19966670 22217522 28871372 31946672 33966320 36089215 39933340 44435044 55543805 57742744 72178430 79866680 88870088 111087610 115485488 144356860 159733360 177740176 188848937 222175220 288713720 377697874 444350440 577427440 744286987 755395748 888700880 944244685 1488573974 1510791496 1888489370 2977147948 3021582992 3721434935 3776978740 5954295896 7442869870 7553957480 11908591792 12652878779 14885739740 15107914960 25305757558 29771479480 50611515116 59542958960 63264393895 101223030232 126528787790 202446060464 253057575580 506115151160 1012230302320