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20310123400 = 2352719375167
BaseRepresentation
bin10010111010100100…
…111110001110001000
31221102110002011120121
4102322210332032020
5313043342422100
613155204233024
71316206125520
oct227244761610
957373064517
1020310123400
118682598356
123b2999b774
131bb8a0b4c8
14da9572680
157dd0c951a
hex4ba93e388

20310123400 has 96 divisors (see below), whose sum is σ = 54247242240. Its totient is φ = 6927298560.

The previous prime is 20310123391. The next prime is 20310123413. The reversal of 20310123400 is 432101302.

It is a happy number.

It is a super-2 number, since 2×203101234002 (a number of 21 digits) contains 22 as substring.

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, 232617 + ... + 307783.

It is an arithmetic number, because the mean of its divisors is an integer number (565075440).

Almost surely, 220310123400 is an apocalyptic number.

20310123400 is a gapful number since it is divisible by the number (20) 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 20310123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27123621120).

20310123400 is an abundant number, since it is smaller than the sum of its proper divisors (33937118840).

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

20310123400 is a wasteful number, since it uses less digits than its factorization.

20310123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75383 (or 75374 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20310123400 its reverse (432101302), we get a palindrome (20742224702).

The spelling of 20310123400 in words is "twenty billion, three hundred ten million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 193 200 280 350 386 700 772 965 1351 1400 1544 1930 2702 3860 4825 5404 6755 7720 9650 10808 13510 19300 27020 33775 38600 54040 67550 75167 135100 150334 270200 300668 375835 526169 601336 751670 1052338 1503340 1879175 2104676 2630845 3006680 3758350 4209352 5261690 7516700 10523380 13154225 14507231 15033400 21046760 26308450 29014462 52616900 58028924 72536155 101550617 105233800 116057848 145072310 203101234 290144620 362680775 406202468 507753085 580289240 725361550 812404936 1015506170 1450723100 2031012340 2538765425 2901446200 4062024680 5077530850 10155061700 20310123400