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20130144342 = 23711337129293
BaseRepresentation
bin10010101111110110…
…011010000001010110
31220221220102021201120
4102233312122001112
5312211304104332
613125254504410
71311562255320
oct225766320126
956856367646
1020130144342
11859aa3a430
123a99665106
131b8a644019
14d8d6c2610
157cc3c732c
hex4afd9a056

20130144342 has 64 divisors (see below), whose sum is σ = 50343980544. Its totient is φ = 5213053440.

The previous prime is 20130144299. The next prime is 20130144373. The reversal of 20130144342 is 24344103102.

It is a super-2 number, since 2×201301443422 (a number of 21 digits) contains 22 as substring.

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, 91048 + ... + 220340.

It is an arithmetic number, because the mean of its divisors is an integer number (786624696).

Almost surely, 220130144342 is an apocalyptic number.

20130144342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25171990272).

20130144342 is an abundant number, since it is smaller than the sum of its proper divisors (30213836202).

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

20130144342 is a wasteful number, since it uses less digits than its factorization.

20130144342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129653.

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

Adding to 20130144342 its reverse (24344103102), we get a palindrome (44474247444).

The spelling of 20130144342 in words is "twenty billion, one hundred thirty million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 337 462 674 1011 2022 2359 3707 4718 7077 7414 11121 14154 22242 25949 51898 77847 129293 155694 258586 387879 775758 905051 1422223 1810102 2715153 2844446 4266669 5430306 8533338 9955561 19911122 29866683 43571741 59733366 87143482 130715223 261430446 305002187 479289151 610004374 915006561 958578302 1437867453 1830013122 2875734906 3355024057 6710048114 10065072171 20130144342