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13023422610 = 235111072711361
BaseRepresentation
bin11000010000100000…
…11010100010010010
31020121121212102020120
430020100122202102
5203132444010420
65552145051110
7640506160062
oct141020324222
936547772216
1013023422610
115583423190
122635626a96
1312c71b2c33
148b79053a2
1551352bd40
hex30841a892

13023422610 has 128 divisors (see below), whose sum is σ = 34568736768. Its totient is φ = 3113856000.

The previous prime is 13023422609. The next prime is 13023422639. The reversal of 13023422610 is 1622432031.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9568330 + ... + 9569690.

It is an arithmetic number, because the mean of its divisors is an integer number (270068256).

Almost surely, 213023422610 is an apocalyptic number.

13023422610 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 13023422610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284368384).

13023422610 is an abundant number, since it is smaller than the sum of its proper divisors (21545314158).

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

13023422610 is a wasteful number, since it uses less digits than its factorization.

13023422610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13023422610 its reverse (1622432031), we get a palindrome (14645854641).

The spelling of 13023422610 in words is "thirteen billion, twenty-three million, four hundred twenty-two thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 271 321 330 535 542 642 813 1070 1177 1355 1361 1605 1626 2354 2710 2722 2981 3210 3531 4065 4083 5885 5962 6805 7062 8130 8166 8943 11770 13610 14905 14971 17655 17886 20415 28997 29810 29942 35310 40830 44715 44913 57994 74855 86991 89430 89826 144985 145627 149710 173982 224565 289970 291254 318967 368831 434955 436881 449130 637934 728135 737662 869910 873762 956901 1106493 1456270 1594835 1601897 1844155 1913802 2184405 2212986 3189670 3203794 3688310 4057141 4368810 4784505 4805691 5532465 8009485 8114282 9569010 9611382 11064930 12171423 16018970 20285705 24028455 24342846 39464917 40571410 48056910 60857115 78929834 118394751 121714230 197324585 236789502 394649170 434114087 591973755 868228174 1183947510 1302342261 2170570435 2604684522 4341140870 6511711305 13023422610