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10120223101032 = 2333114259353157
BaseRepresentation
bin1001001101000100110001…
…0011011001000001101000
31022211111001202012120102000
42103101030103121001220
52311302204103213112
633305055531211000
72063106364010112
oct223211423310150
938744052176360
1010120223101032
113251a6511a260
12117544a2a6a60
13585443627925
1426db6dd4c3b2
151283b47b77dc
hex9344c4d9068

10120223101032 has 64 divisors (see below), whose sum is σ = 30667342737600. Its totient is φ = 3066734272320.

The previous prime is 10120223100973. The next prime is 10120223101039. The reversal of 10120223101032 is 23010132202101.

It is a super-2 number, since 2×101202231010322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10120223100996 and 10120223101014.

It is not an unprimeable number, because it can be changed into a prime (10120223101039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2129674203 + ... + 2129678954.

It is an arithmetic number, because the mean of its divisors is an integer number (479177230275).

Almost surely, 210120223101032 is an apocalyptic number.

10120223101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120223101032 is an abundant number, since it is smaller than the sum of its proper divisors (20547119636568).

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

10120223101032 is a wasteful number, since it uses less digits than its factorization.

10120223101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259353183 (or 4259353173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10120223101032 its reverse (23010132202101), we get a palindrome (33130355303133).

The spelling of 10120223101032 in words is "ten trillion, one hundred twenty billion, two hundred twenty-three million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4259353157 8518706314 12778059471 17037412628 25556118942 34074825256 38334178413 46852884727 51112237884 76668356826 93705769454 102224475768 115002535239 140558654181 153336713652 187411538908 230005070478 281117308362 306673427304 374823077816 421675962543 460010140956 562234616724 843351925086 920020281912 1124469233448 1265027887629 1686703850172 2530055775258 3373407700344 5060111550516 10120223101032