Search a number
-
+
120314122332 = 223193736738861
BaseRepresentation
bin111000000001101000…
…1111101000001011100
3102111112220020200022220
41300003101331001130
53432400403403312
6131134353105340
711456332110645
oct1600321750134
9374486220286
10120314122332
1147030204958
121b398b58250
13b4652bb181
145b74d546cc
1531e2853c8c
hex1c0347d05c

120314122332 has 96 divisors (see below), whose sum is σ = 304329876480. Its totient is φ = 36865393920.

The previous prime is 120314122301. The next prime is 120314122339. The reversal of 120314122332 is 233221413021.

It is a super-2 number, since 2×1203141223322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120314122339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3076582 + ... + 3115442.

It is an arithmetic number, because the mean of its divisors is an integer number (3170102880).

Almost surely, 2120314122332 is an apocalyptic number.

120314122332 is a gapful number since it is divisible by the number (12) 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 120314122332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152164938240).

120314122332 is an abundant number, since it is smaller than the sum of its proper divisors (184015754148).

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

120314122332 is a wasteful number, since it uses less digits than its factorization.

120314122332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39291 (or 39289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120314122332 its reverse (233221413021), we get a palindrome (353535535353).

The spelling of 120314122332 in words is "one hundred twenty billion, three hundred fourteen million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 367 444 703 734 1101 1406 1468 2109 2202 2812 4218 4404 6973 8436 13579 13946 20919 27158 27892 38861 40737 41838 54316 77722 81474 83676 116583 155444 162948 233166 258001 466332 516002 738359 774003 1032004 1437857 1476718 1548006 2215077 2875714 2953436 3096012 4313571 4430154 5751428 8627142 8860308 14261987 17254284 27319283 28523974 42785961 54638566 57047948 81957849 85571922 109277132 163915698 171143844 270977753 327831396 527693519 541955506 812933259 1055387038 1083911012 1583080557 1625866518 2110774076 3166161114 3251733036 6332322228 10026176861 20052353722 30078530583 40104707444 60157061166 120314122332