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2130302313024 = 26383271493279
BaseRepresentation
bin11110111111111111111…
…010011010001001000000
321112122200102122012002120
4132333333322122021000
5234400324343004044
64310351455444240
7306623606614344
oct36777772321100
97478612565076
102130302313024
11751502134196
122a4a49b26680
13125b6ac66742
1475170171624
153a63265a519
hex1efffe9a240

2130302313024 has 112 divisors (see below), whose sum is σ = 5725394411520. Its totient is φ = 698955194880.

The previous prime is 2130302313017. The next prime is 2130302313053. The reversal of 2130302313024 is 4203132030312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2130302312985 and 2130302313003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4072017 + ... + 4565295.

It is an arithmetic number, because the mean of its divisors is an integer number (51119592960).

Almost surely, 22130302313024 is an apocalyptic number.

2130302313024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130302313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862697205760).

2130302313024 is an abundant number, since it is smaller than the sum of its proper divisors (3595092098496).

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

2130302313024 is a wasteful number, since it uses less digits than its factorization.

2130302313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493648 (or 493638 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2130302313024 its reverse (4203132030312), we get a palindrome (6333434343336).

The spelling of 2130302313024 in words is "two trillion, one hundred thirty billion, three hundred two million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 271 332 498 542 664 813 996 1084 1328 1626 1992 2168 2656 3252 3984 4336 5312 6504 7968 8672 13008 15936 17344 22493 26016 44986 52032 67479 89972 134958 179944 269916 359888 493279 539832 719776 986558 1079664 1439552 1479837 1973116 2159328 2959674 3946232 4318656 5919348 7892464 11838696 15784928 23677392 31569856 40942157 47354784 81884314 94709568 122826471 133678609 163768628 245652942 267357218 327537256 401035827 491305884 534714436 655074512 802071654 982611768 1069428872 1310149024 1604143308 1965223536 2138857744 2620298048 3208286616 3930447072 4277715488 6416573232 7860894144 8555430976 11095324547 12833146464 22190649094 25666292928 33285973641 44381298188 66571947282 88762596376 133143894564 177525192752 266287789128 355050385504 532575578256 710100771008 1065151156512 2130302313024