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120023000010 = 232514913816481
BaseRepresentation
bin110111111000111101…
…1011010001111001010
3102110210121110010120200
41233301323122033022
53431301342000020
6131045433233030
711446165444554
oct1576173321712
9373717403520
10120023000010
11469a09443a1
121b317562776
13b419bab144
145b484124d4
1531c6eea590
hex1bf1eda3ca

120023000010 has 96 divisors (see below), whose sum is σ = 314430152400. Its totient is φ = 31763404800.

The previous prime is 120022999891. The next prime is 120023000023. The reversal of 120023000010 is 10000320021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56281394169 + 63741605841 = 237237^2 + 252471^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120022999956 and 120023000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18515970 + ... + 18522450.

Almost surely, 2120023000010 is an apocalyptic number.

120023000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120023000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157215076200).

120023000010 is an abundant number, since it is smaller than the sum of its proper divisors (194407152390).

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

120023000010 is a wasteful number, since it uses less digits than its factorization.

120023000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 120023000010 its reverse (10000320021), we get a palindrome (130023320031).

The spelling of 120023000010 in words is "one hundred twenty billion, twenty-three million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1381 1490 2235 2682 2762 4143 4470 6481 6705 6905 8286 12429 12962 13410 13810 19443 20715 24858 32405 38886 41430 58329 62145 64810 97215 116658 124290 194430 205769 291645 411538 583290 617307 965669 1028845 1234614 1851921 1931338 2057690 2897007 3086535 3703842 4828345 5794014 6173070 8691021 8950261 9259605 9656690 14485035 17382042 17900522 18519210 26850783 28970070 43455105 44751305 53701566 80552349 86910210 89502610 134253915 161104698 268507830 402761745 805523490 1333588889 2667177778 4000766667 6667944445 8001533334 12002300001 13335888890 20003833335 24004600002 40007666670 60011500005 120023000010