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20131322442 = 23711244117851
BaseRepresentation
bin10010101111111010…
…111001101001001010
31220221222122010202220
4102233322321221022
5312212104304232
613125340034510
71311605263110
oct225772715112
956858563686
1020131322442
1185a0674570
123a99b32a36
131b8a96731a
14d8d90bab0
157cc55b42c
hex4afeb9a4a

20131322442 has 64 divisors (see below), whose sum is σ = 50220960768. Its totient is φ = 5226480000.

The previous prime is 20131322441. The next prime is 20131322443. The reversal of 20131322442 is 24422313102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20131322441) and next prime (20131322443).

It is not an unprimeable number, because it can be changed into a prime (20131322441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118817 + ... + 1136667.

It is an arithmetic number, because the mean of its divisors is an integer number (784702512).

Almost surely, 220131322442 is an apocalyptic number.

20131322442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20131322442 is an abundant number, since it is smaller than the sum of its proper divisors (30089638326).

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

20131322442 is a wasteful number, since it uses less digits than its factorization.

20131322442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20315.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20131322442 its reverse (24422313102), we get a palindrome (44553635544).

The spelling of 20131322442 in words is "twenty billion, one hundred thirty-one million, three hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 2441 4882 7323 14646 17087 17851 26851 34174 35702 51261 53553 53702 80553 102522 107106 124957 161106 187957 196361 249914 374871 375914 392722 563871 589083 749742 1127742 1178166 1374527 2749054 4123581 8247162 43574291 87148582 130722873 261445746 305020037 479317201 610040074 915060111 958634402 1437951603 1830120222 2875903206 3355220407 6710440814 10065661221 20131322442