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10123140420 = 22325232445203
BaseRepresentation
bin10010110110110001…
…01101110101000100
3222010111110211000200
421123120231311010
5131213010443140
64352302010500
7505601162631
oct113330556504
928114424020
1010123140420
114325281258
121b66276a30
13c54373923
146c0659188
153e3ad4030
hex25b62dd44

10123140420 has 72 divisors (see below), whose sum is σ = 32041953216. Its totient is φ = 2582133312.

The previous prime is 10123140371. The next prime is 10123140437. The reversal of 10123140420 is 2404132101.

10123140420 is a `hidden beast` number, since 10 + 1 + 231 + 4 + 0 + 420 = 666.

10123140420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10123140393 and 10123140402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1218462 + ... + 1226741.

It is an arithmetic number, because the mean of its divisors is an integer number (445027128).

Almost surely, 210123140420 is an apocalyptic number.

10123140420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123140420 is an abundant number, since it is smaller than the sum of its proper divisors (21918812796).

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

10123140420 is a wasteful number, since it uses less digits than its factorization.

10123140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445241 (or 2445236 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10123140420 its reverse (2404132101), we get a palindrome (12527272521).

The spelling of 10123140420 in words is "ten billion, one hundred twenty-three million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 2445203 4890406 7335609 9780812 12226015 14671218 22006827 24452030 29342436 36678045 44013654 48904060 56239669 73356090 88027308 110034135 112479338 146712180 168719007 220068270 224958676 281198345 337438014 440136540 506157021 562396690 674876028 843595035 1012314042 1124793380 1687190070 2024628084 2530785105 3374380140 5061570210 10123140420