Search a number
-
+
332110121120 = 25516750924419
BaseRepresentation
bin1001101010100110100…
…11100100100010100000
31011202020022210012010022
410311103103210202200
520420130142333440
6412322544253012
732664666310661
oct4652323444240
91152208705108
10332110121120
11118935561588
1254447011168
132541941658b
141210790d368
15898b69dcb5
hex4d534e48a0

332110121120 has 96 divisors (see below), whose sum is σ = 790891516800. Its totient is φ = 131783750656.

The previous prime is 332110121117. The next prime is 332110121141. The reversal of 332110121120 is 21121011233.

It is a super-2 number, since 2×3321101211202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13588271 + ... + 13612689.

It is an arithmetic number, because the mean of its divisors is an integer number (8238453300).

Almost surely, 2332110121120 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 332110121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395445758400).

332110121120 is an abundant number, since it is smaller than the sum of its proper divisors (458781395680).

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

332110121120 is a wasteful number, since it uses less digits than its factorization.

332110121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25110 (or 25102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 332110121120 its reverse (21121011233), we get a palindrome (353231132353).

The spelling of 332110121120 in words is "three hundred thirty-two billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 509 668 835 1018 1336 1670 2036 2545 2672 3340 4072 5090 5344 6680 8144 10180 13360 16288 20360 24419 26720 40720 48838 81440 85003 97676 122095 170006 195352 244190 340012 390704 425015 488380 680024 781408 850030 976760 1360048 1700060 1953520 2720096 3400120 3907040 4077973 6800240 8155946 12429271 13600480 16311892 20389865 24858542 32623784 40779730 49717084 62146355 65247568 81559460 99434168 124292710 130495136 163118920 198868336 248585420 326237840 397736672 497170840 652475680 994341680 1988683360 2075688257 4151376514 8302753028 10378441285 16605506056 20756882570 33211012112 41513765140 66422024224 83027530280 166055060560 332110121120