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32120213010 = 2355945739709
BaseRepresentation
bin11101111010100000…
…111000111000010010
310001220111211212211220
4131322200320320102
51011240233304020
622431131345510
72214653206614
oct357240707022
9101814755756
1032120213010
1112693028496
126284bb2296
13304b70c302
1417a9c76db4
15c7ed35240
hex77a838e12

32120213010 has 64 divisors (see below), whose sum is σ = 78568617600. Its totient is φ = 8401577472.

The previous prime is 32120212997. The next prime is 32120213029. The reversal of 32120213010 is 1031202123.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 789036 + ... + 828744.

It is an arithmetic number, because the mean of its divisors is an integer number (1227634650).

Almost surely, 232120213010 is an apocalyptic number.

32120213010 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 32120213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39284308800).

32120213010 is an abundant number, since it is smaller than the sum of its proper divisors (46448404590).

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

32120213010 is a wasteful number, since it uses less digits than its factorization.

32120213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40235.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32120213010 its reverse (1031202123), we get a palindrome (33151415133).

The spelling of 32120213010 in words is "thirty-two billion, one hundred twenty million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 457 590 885 914 1371 1770 2285 2742 4570 6855 13710 26963 39709 53926 79418 80889 119127 134815 161778 198545 238254 269630 397090 404445 595635 808890 1191270 2342831 4685662 7028493 11714155 14056986 18147013 23428310 35142465 36294026 54441039 70284930 90735065 108882078 181470130 272205195 544410390 1070673767 2141347534 3212021301 5353368835 6424042602 10706737670 16060106505 32120213010