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32113323010120 = 2351129477006319
BaseRepresentation
bin1110100110100111101110…
…01101011110100001001000
311012201000002200202222202011
413103103313031132201020
513202121041142310440
6152144353521345304
76523053036524002
oct723236715364110
9135630080688664
1032113323010120
11a261202712700
12372793aa98234
1314bc37277b0a1
147d04164a9372
153aa51b9999ea
hex1d34f735e848

32113323010120 has 96 divisors (see below), whose sum is σ = 79504636579200. Its totient is φ = 11665239217280.

The previous prime is 32113323010117. The next prime is 32113323010123. The reversal of 32113323010120 is 2101032331123.

It is an interprime number because it is at equal distance from previous prime (32113323010117) and next prime (32113323010123).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 32113323010091 and 32113323010100.

It is not an unprimeable number, because it can be changed into a prime (32113323010123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080321 + ... + 8086639.

It is an arithmetic number, because the mean of its divisors is an integer number (828173297700).

Almost surely, 232113323010120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113323010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39752318289600).

32113323010120 is an abundant number, since it is smaller than the sum of its proper divisors (47391313569080).

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

32113323010120 is a wasteful number, since it uses less digits than its factorization.

32113323010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007299 (or 7007284 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 32113323010120 its reverse (2101032331123), we get a palindrome (34214355341243).

The spelling of 32113323010120 in words is "thirty-two trillion, one hundred thirteen billion, three hundred twenty-three million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 947 968 1210 1894 2420 3788 4735 4840 7576 9470 10417 18940 20834 37880 41668 52085 83336 104170 114587 208340 229174 416680 458348 572935 916696 1145870 2291740 4583480 7006319 14012638 28025276 35031595 56050552 70063190 77069509 140126380 154139018 280252760 308278036 385347545 616556072 770695090 847764599 1541390180 1695529198 3082780360 3391058396 4238822995 6634984093 6782116792 8477645990 13269968186 16955291980 26539936372 33174920465 33910583960 53079872744 66349840930 72984825023 132699681860 145969650046 265399363720 291939300092 364924125115 583878600184 729848250230 802833075253 1459696500460 1605666150506 2919393000920 3211332301012 4014165376265 6422664602024 8028330752530 16056661505060 32113323010120