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132210103120 = 24519344925219
BaseRepresentation
bin111101100100001010…
…1100001001101010000
3110122020221122010010221
41323020111201031100
54131231241244440
6140423025202424
712360201222454
oct1731025411520
9418227563127
10132210103120
115108517a337
1221758a90414
13c60ca32964
146582c16664
15368bdc8d4a
hex1ec8561350

132210103120 has 80 divisors (see below), whose sum is σ = 323673480000. Its totient is φ = 50084158464.

The previous prime is 132210103061. The next prime is 132210103121. The reversal of 132210103120 is 21301012231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1322101031202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132210103094 and 132210103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132210103121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5229871 + ... + 5255089.

It is an arithmetic number, because the mean of its divisors is an integer number (4045918500).

Almost surely, 2132210103120 is an apocalyptic number.

132210103120 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 132210103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161836740000).

132210103120 is an abundant number, since it is smaller than the sum of its proper divisors (191463376880).

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

132210103120 is a wasteful number, since it uses less digits than its factorization.

132210103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28700 (or 28694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132210103120 its reverse (21301012231), we get a palindrome (153511115351).

The spelling of 132210103120 in words is "one hundred thirty-two billion, two hundred ten million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3449 6898 13796 17245 25219 27592 34490 50438 55184 65531 68980 100876 126095 131062 137960 201752 252190 262124 275920 327655 403504 479161 504380 524248 655310 958322 1008760 1048496 1310620 1916644 2017520 2395805 2621240 3833288 4791610 5242480 7666576 9583220 19166440 38332880 86980331 173960662 347921324 434901655 695842648 869803310 1391685296 1652626289 1739606620 3305252578 3479213240 6610505156 6958426480 8263131445 13221010312 16526262890 26442020624 33052525780 66105051560 132210103120