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21442313130 = 23576110116573
BaseRepresentation
bin10011111110000011…
…111011101110101010
32001100100111100220120
4103332003323232222
5322403213010010
613503411104110
71356234440310
oct237603735652
961310440816
1021442313130
119103699247
1241a4ba2036
13203944ca64
141075a900b0
158576bce70
hex4fe0fbbaa

21442313130 has 128 divisors (see below), whose sum is σ = 60372850176. Its totient is φ = 4772736000.

The previous prime is 21442313117. The next prime is 21442313131. The reversal of 21442313130 is 3131324412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21442313130.

It is not an unprimeable number, because it can be changed into a prime (21442313131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285524 + ... + 1302096.

It is an arithmetic number, because the mean of its divisors is an integer number (471662892).

Almost surely, 221442313130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30186425088).

21442313130 is an abundant number, since it is smaller than the sum of its proper divisors (38930537046).

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

21442313130 is a wasteful number, since it uses less digits than its factorization.

21442313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16752.

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

Adding to 21442313130 its reverse (3131324412), we get a palindrome (24573637542).

The spelling of 21442313130 in words is "twenty-one billion, four hundred forty-two million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 101 105 122 183 202 210 303 305 366 427 505 606 610 707 854 915 1010 1281 1414 1515 1830 2121 2135 2562 3030 3535 4242 4270 6161 6405 7070 10605 12322 12810 16573 18483 21210 30805 33146 36966 43127 49719 61610 82865 86254 92415 99438 116011 129381 165730 184830 215635 232022 248595 258762 348033 431270 497190 580055 646905 696066 1010953 1160110 1293810 1673873 1740165 2021906 3032859 3347746 3480330 5021619 5054765 6065718 7076671 8369365 10043238 10109530 11717111 14153342 15164295 16738730 21230013 23434222 25108095 30328590 35151333 35383355 42460026 50216190 58585555 70302666 70766710 102106253 106150065 117171110 175756665 204212506 212300130 306318759 351513330 510531265 612637518 714743771 1021062530 1429487542 1531593795 2144231313 3063187590 3573718855 4288462626 7147437710 10721156565 21442313130