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10023134340 = 22356715715881
BaseRepresentation
bin10010101010110110…
…01110010010000100
3221212112021222110210
421111123032102010
5131011410244330
64334330315420
7503245144002
oct112533162204
927775258423
1010023134340
1142838861aa
121b38888b70
13c3972a42b
146b1265a72
153d9e2c8b0
hex2556ce484

10023134340 has 96 divisors (see below), whose sum is σ = 28666882944. Its totient is φ = 2616007680.

The previous prime is 10023134339. The next prime is 10023134383. The reversal of 10023134340 is 4343132001.

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, 623200 + ... + 639080.

It is an arithmetic number, because the mean of its divisors is an integer number (298613364).

Almost surely, 210023134340 is an apocalyptic number.

10023134340 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 10023134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333441472).

10023134340 is an abundant number, since it is smaller than the sum of its proper divisors (18643748604).

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

10023134340 is a wasteful number, since it uses less digits than its factorization.

10023134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16117 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10023134340 its reverse (4343132001), we get a palindrome (14366266341).

The spelling of 10023134340 in words is "ten billion, twenty-three million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 157 201 268 314 335 402 471 628 670 785 804 942 1005 1340 1570 1884 2010 2355 3140 4020 4710 9420 10519 15881 21038 31557 31762 42076 47643 52595 63114 63524 79405 95286 105190 126228 157785 158810 190572 210380 238215 315570 317620 476430 631140 952860 1064027 2128054 2493317 3192081 4256108 4986634 5320135 6384162 7479951 9973268 10640270 12466585 12768324 14959902 15960405 21280540 24933170 29919804 31920810 37399755 49866340 63841620 74799510 149599020 167052239 334104478 501156717 668208956 835261195 1002313434 1670522390 2004626868 2505783585 3341044780 5011567170 10023134340