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32334110130 = 23571947172421
BaseRepresentation
bin11110000111010000…
…110101110110110010
310002110102022222112110
4132013100311312302
51012210013011010
622504252110150
72223161254440
oct360720656662
9102412288473
1032334110130
1112792842573
126324765356
133083b20c5a
1417ca435b90
15c939d7120
hex787435db2

32334110130 has 128 divisors (see below), whose sum is σ = 95342469120. Its totient is φ = 6852660480.

The previous prime is 32334110113. The next prime is 32334110147. The reversal of 32334110130 is 3101143323.

It is an interprime number because it is at equal distance from previous prime (32334110113) and next prime (32334110147).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32334110097 and 32334110106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 101320 + ... + 273740.

It is an arithmetic number, because the mean of its divisors is an integer number (744863040).

Almost surely, 232334110130 is an apocalyptic number.

32334110130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32334110130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47671234560).

32334110130 is an abundant number, since it is smaller than the sum of its proper divisors (63008358990).

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

32334110130 is a wasteful number, since it uses less digits than its factorization.

32334110130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172504.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32334110130 its reverse (3101143323), we get a palindrome (35435253453).

The spelling of 32334110130 in words is "thirty-two billion, three hundred thirty-four million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 47 57 70 94 95 105 114 133 141 190 210 235 266 282 285 329 399 470 570 658 665 705 798 893 987 1330 1410 1645 1786 1974 1995 2679 3290 3990 4465 4935 5358 6251 8930 9870 12502 13395 18753 26790 31255 37506 62510 93765 172421 187530 344842 517263 862105 1034526 1206947 1724210 2413894 2586315 3275999 3620841 5172630 6034735 6551998 7241682 8103787 9827997 12069470 16207574 16379995 18104205 19655994 22931993 24311361 32759990 36208410 40518935 45863986 48622722 49139985 56726509 68795979 81037870 98279970 113453018 114659965 121556805 137591958 153971953 170179527 229319930 243113610 283632545 307943906 340359054 343979895 461915859 567265090 687959790 769859765 850897635 923831718 1077803671 1539719530 1701795270 2155607342 2309579295 3233411013 4619158590 5389018355 6466822026 10778036710 16167055065 32334110130