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21112130003130 = 232510116823138059
BaseRepresentation
bin1001100110011100011010…
…00000100110000010111010
32202202022002122021021111200
410303032031000212002322
510231400120240100010
6112522440103435030
74306205156046015
oct463161500460272
982668078237450
1021112130003130
1167aa670aa3a01
12244b809755a76
13ba1b3314084a
1452db9270437c
152692956d6cc0
hex13338d0260ba

21112130003130 has 96 divisors (see below), whose sum is σ = 55438715329920. Its totient is φ = 5573788022400.

The previous prime is 21112130003117. The next prime is 21112130003131. The reversal of 21112130003130 is 3130003121112.

21112130003130 is a `hidden beast` number, since 21 + 11 + 21 + 300 + 0 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21112130003131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152852041 + ... + 152990099.

It is an arithmetic number, because the mean of its divisors is an integer number (577486618020).

Almost surely, 221112130003130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112130003130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27719357664960).

21112130003130 is an abundant number, since it is smaller than the sum of its proper divisors (34326585326790).

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

21112130003130 is a wasteful number, since it uses less digits than its factorization.

21112130003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154996 (or 154993 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21112130003130 its reverse (3130003121112), we get a palindrome (24242133124242).

The spelling of 21112130003130 in words is "twenty-one trillion, one hundred twelve billion, one hundred thirty million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 16823 33646 50469 84115 100938 138059 151407 168230 252345 276118 302814 414177 504690 690295 757035 828354 1242531 1380590 1514070 1699123 2070885 2485062 3398246 4141770 5097369 6212655 8495615 10194738 12425310 13943959 15292107 16991230 25486845 27887918 30584214 41831877 50973690 69719795 76460535 83663754 125495631 139439590 152921070 209159385 250991262 418318770 627478155 1254956310 2322566557 4645133114 6967699671 11612832785 13935399342 20903099013 23225665570 34838498355 41806198026 69676996710 104515495065 209030990130 234579222257 469158444514 703737666771 1172896111285 1407475333542 2111213000313 2345792222570 3518688333855 4222426000626 7037376667710 10556065001565 21112130003130