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10134300020 = 22513237123869
BaseRepresentation
bin10010111000000110…
…10010010101110100
3222011021110210010012
421130003102111310
5131223340100040
64353341115352
7506065062125
oct113403222564
928137423105
1010134300020
114330603669
121b69b58b58
13c56780240
146c1d2204c
153e4a8a865
hex25c0d2574

10134300020 has 96 divisors (see below), whose sum is σ = 24253447680. Its totient is φ = 3528645120.

The previous prime is 10134300019. The next prime is 10134300053. The reversal of 10134300020 is 2000343101.

It is a junction number, because it is equal to n+sod(n) for n = 10134299968 and 10134300004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412646 + ... + 436514.

It is an arithmetic number, because the mean of its divisors is an integer number (252640080).

Almost surely, 210134300020 is an apocalyptic number.

10134300020 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 10134300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126723840).

10134300020 is an abundant number, since it is smaller than the sum of its proper divisors (14119147660).

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

10134300020 is a wasteful number, since it uses less digits than its factorization.

10134300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23985 (or 23983 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10134300020 its reverse (2000343101), we get a palindrome (12134643121).

The spelling of 10134300020 in words is "ten billion, one hundred thirty-four million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 71 92 115 130 142 230 260 284 299 355 460 598 710 923 1196 1420 1495 1633 1846 2990 3266 3692 4615 5980 6532 8165 9230 16330 18460 21229 23869 32660 42458 47738 84916 95476 106145 119345 212290 238690 310297 424580 477380 548987 620594 1097974 1241188 1551485 1694699 2195948 2744935 3102970 3389398 5489870 6205940 6778796 7136831 8473495 10979740 14273662 16946990 22031087 28547324 33893980 35684155 38978077 44062174 71368310 77956154 88124348 110155435 142736620 155912308 194890385 220310870 389780770 440621740 506715001 779561540 1013430002 2026860004 2533575005 5067150010 10134300020