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630130355220 = 2235167216129101
BaseRepresentation
bin10010010101101101011…
…00100010110000010100
32020020110212102200121110
421022312230202300110
540311001332331340
61201251120215020
763345134434152
oct11126654426024
92206425380543
10630130355220
11223267181413
12a215946a470
1347562033972
14226d9b423d2
15115d0145680
hex92b6b22c14

630130355220 has 96 divisors (see below), whose sum is σ = 1775812421376. Its totient is φ = 166945536000.

The previous prime is 630130355219. The next prime is 630130355221. The reversal of 630130355220 is 22553031036.

It is an interprime number because it is at equal distance from previous prime (630130355219) and next prime (630130355221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630130355221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21638670 + ... + 21667770.

It is an arithmetic number, because the mean of its divisors is an integer number (18498046056).

Almost surely, 2630130355220 is an apocalyptic number.

630130355220 is a gapful number since it is divisible by the number (60) 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 630130355220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887906210688).

630130355220 is an abundant number, since it is smaller than the sum of its proper divisors (1145682066156).

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

630130355220 is a wasteful number, since it uses less digits than its factorization.

630130355220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31441 (or 31439 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 630130355220 its reverse (22553031036), we get a palindrome (652683386256).

The spelling of 630130355220 in words is "six hundred thirty billion, one hundred thirty million, three hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2161 2505 3340 4322 5010 6483 8644 10020 10805 12966 21610 25932 29101 32415 43220 58202 64830 87303 116404 129660 145505 174606 291010 349212 360887 436515 582020 721774 873030 1082661 1443548 1746060 1804435 2165322 3608870 4330644 4859867 5413305 7217740 9719734 10826610 14579601 19439468 21653220 24299335 29159202 48598670 58318404 62887261 72898005 97197340 125774522 145796010 188661783 251549044 291592020 314436305 377323566 628872610 754647132 943308915 1257745220 1886617830 3773235660 10502172587 21004345174 31506517761 42008690348 52510862935 63013035522 105021725870 126026071044 157532588805 210043451740 315065177610 630130355220