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130211343334440 = 23335120566058643
BaseRepresentation
bin11101100110110100110000…
…110111010111110000101000
3122002001002020101210001211000
4131212310300313113300220
5114031340312343200230
61140534133151035000
736266313321334404
oct3546646067276050
9562032211701730
10130211343334440
1138542358789495
121272b9b750ba60
135786b5298cc74
1424223969a4104
15100c1687cab60
hex766d30dd7c28

130211343334440 has 64 divisors (see below), whose sum is σ = 434037811118400. Its totient is φ = 34723024888896.

The previous prime is 130211343334337. The next prime is 130211343334481. The reversal of 130211343334440 is 44433343112031.

130211343334440 is a `hidden beast` number, since 1 + 3 + 0 + 21 + 134 + 33 + 34 + 440 = 666.

It is a super-2 number, since 2×1302113433344402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130211343334395 and 130211343334404.

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, 60283028242 + ... + 60283030401.

It is an arithmetic number, because the mean of its divisors is an integer number (6781840798725).

Almost surely, 2130211343334440 is an apocalyptic number.

130211343334440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130211343334440 is an abundant number, since it is smaller than the sum of its proper divisors (303826467783960).

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

130211343334440 is a wasteful number, since it uses less digits than its factorization.

130211343334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120566058663 (or 120566058653 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 130211343334440 its reverse (44433343112031), we get a palindrome (174644686446471).

The spelling of 130211343334440 in words is "one hundred thirty trillion, two hundred eleven billion, three hundred forty-three million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 120566058643 241132117286 361698175929 482264234572 602830293215 723396351858 964528469144 1085094527787 1205660586430 1446792703716 1808490879645 2170189055574 2411321172860 2893585407432 3255283583361 3616981759290 4340378111148 4822642345720 5425472638935 6510567166722 7233963518580 8680756222296 10850945277870 13021134333444 14467927037160 16276417916805 21701890555740 26042268666888 32552835833610 43403781111480 65105671667220 130211343334440