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130222132440 = 23352950973517
BaseRepresentation
bin111100101000111011…
…0000000110011011000
3110110010101220202001020
41321101312000303120
54113143331214230
6135453452122440
712260011601541
oct1712166006330
9413111822036
10130222132440
1150254aa9564
12212a3166420
13c383c0aa4a
146434bad4c8
1535c25e0810
hex1e51d80cd8

130222132440 has 128 divisors (see below), whose sum is σ = 404937144000. Its totient is φ = 33462130688.

The previous prime is 130222132427. The next prime is 130222132457. The reversal of 130222132440 is 44231222031.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130222132440.

It is a congruent number.

It is an unprimeable number.

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, 1734562 + ... + 1808078.

Almost surely, 2130222132440 is an apocalyptic number.

130222132440 is a gapful number since it is divisible by the number (10) 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 130222132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202468572000).

130222132440 is an abundant number, since it is smaller than the sum of its proper divisors (274715011560).

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

130222132440 is a wasteful number, since it uses less digits than its factorization.

130222132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74069 (or 74065 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130222132440 its reverse (44231222031), we get a palindrome (174453354471).

The spelling of 130222132440 in words is "one hundred thirty billion, two hundred twenty-two million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 509 580 696 870 1018 1160 1527 1740 2036 2545 3054 3480 4072 5090 6108 7635 10180 12216 14761 15270 20360 29522 30540 44283 59044 61080 73517 73805 88566 118088 147034 147610 177132 220551 221415 294068 295220 354264 367585 441102 442830 588136 590440 735170 882204 885660 1102755 1470340 1764408 1771320 2131993 2205510 2940680 4263986 4411020 6395979 8527972 8822040 10659965 12791958 17055944 21319930 25583916 31979895 37420153 42639860 51167832 63959790 74840306 85279720 112260459 127919580 149680612 187100765 224520918 255839160 299361224 374201530 449041836 561302295 748403060 898083672 1085184437 1122604590 1496806120 2170368874 2245209180 3255553311 4340737748 4490418360 5425922185 6511106622 8681475496 10851844370 13022213244 16277766555 21703688740 26044426488 32555533110 43407377480 65111066220 130222132440