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20311457610 = 23529311913943
BaseRepresentation
bin10010111010101010…
…000011111101001010
31221102112120221202210
4102322222003331022
5313044213120420
613155253005550
71316223353403
oct227252037512
957375527683
1020311457610
118683319804
123b2a3238b6
131bb9087892
14da97dc9aa
157dd28e9e0
hex4baa83f4a

20311457610 has 128 divisors (see below), whose sum is σ = 52340981760. Its totient is φ = 5033145600.

The previous prime is 20311457567. The next prime is 20311457611. The reversal of 20311457610 is 1675411302.

20311457610 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20311457611) 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, 5149299 + ... + 5153241.

It is an arithmetic number, because the mean of its divisors is an integer number (408913920).

Almost surely, 220311457610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311457610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26170490880).

20311457610 is an abundant number, since it is smaller than the sum of its proper divisors (32029524150).

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

20311457610 is a wasteful number, since it uses less digits than its factorization.

20311457610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204.

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 20311457610 its reverse (1675411302), we get a palindrome (21986868912).

The spelling of 20311457610 in words is "twenty billion, three hundred eleven million, four hundred fifty-seven thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 191 290 310 382 435 465 573 870 899 930 955 1146 1798 1910 2697 2865 3943 4495 5394 5539 5730 5921 7886 8990 11078 11829 11842 13485 16617 17763 19715 23658 26970 27695 29605 33234 35526 39430 55390 59145 59210 83085 88815 114347 118290 122233 166170 171709 177630 228694 244466 343041 343418 366699 515127 571735 611165 686082 733398 753113 858545 1030254 1143470 1222330 1506226 1715205 1717090 1833495 2259339 2575635 3430410 3544757 3666990 3765565 4518678 5151270 7089514 7531130 10634271 11296695 17723785 21268542 21840277 22593390 23346503 35447570 43680554 46693006 53171355 65520831 70039509 106342710 109201385 116732515 131041662 140079018 218402770 233465030 327604155 350197545 655208310 677048587 700395090 1354097174 2031145761 3385242935 4062291522 6770485870 10155728805 20311457610