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120131000232 = 233591992631621
BaseRepresentation
bin110111111100001011…
…1011001011110101000
3102111002010200010000220
41233320113121132220
53432012014001412
6131104252130040
711451646440165
oct1577027313650
9374063603026
10120131000232
1146a468aa581
121b347766920
13b4363931b9
145b588c706c
1531d173068c
hex1bf85d97a8

120131000232 has 128 divisors (see below), whose sum is σ = 308309760000. Its totient is φ = 38994151680.

The previous prime is 120131000221. The next prime is 120131000279. The reversal of 120131000232 is 232000131021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74108382 + ... + 74110002.

It is an arithmetic number, because the mean of its divisors is an integer number (2408670000).

Almost surely, 2120131000232 is an apocalyptic number.

120131000232 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 120131000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154154880000).

120131000232 is an abundant number, since it is smaller than the sum of its proper divisors (188178759768).

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

120131000232 is a wasteful number, since it uses less digits than its factorization.

120131000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2147 counting only the distinct ones).

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

Adding to 120131000232 its reverse (232000131021), we get a palindrome (352131131253).

The spelling of 120131000232 in words is "one hundred twenty billion, one hundred thirty-one million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 59 118 177 199 236 263 354 398 472 526 597 708 789 796 1052 1194 1416 1578 1592 1621 2104 2388 3156 3242 4776 4863 6312 6484 9726 11741 12968 15517 19452 23482 31034 35223 38904 46551 46964 52337 62068 70446 93102 93928 95639 104674 124136 140892 157011 186204 191278 209348 281784 286917 314022 322579 372408 382556 418696 426323 573834 628044 645158 765112 852646 967737 1147668 1256088 1278969 1290316 1705292 1935474 2295336 2557938 2580632 3087883 3410584 3870948 5115876 6175766 7741896 9263649 10231752 12351532 18527298 19032161 24703064 25153057 37054596 38064322 50306114 57096483 74109192 75459171 76128644 84838277 100612228 114192966 150918342 152257288 169676554 201224456 228385932 254514831 301836684 339353108 456771864 509029662 603673368 678706216 1018059324 2036118648 5005458343 10010916686 15016375029 20021833372 30032750058 40043666744 60065500116 120131000232