Search a number
-
+
123501350440 = 235131771196771
BaseRepresentation
bin111001100000101000…
…0010000111000101000
3102210210000120122100101
41303001100100320220
54010412321203230
6132422530315144
711631323105116
oct1630120207050
9383700518311
10123501350440
1148416324576
121bb28428ab4
13b852707570
145d98376ab6
15332c57caca
hex1cc1410e28

123501350440 has 128 divisors (see below), whose sum is σ = 321320805120. Its totient is φ = 42313420800.

The previous prime is 123501350431. The next prime is 123501350449. The reversal of 123501350440 is 44053105321.

It is an interprime number because it is at equal distance from previous prime (123501350431) and next prime (123501350449).

It is a junction number, because it is equal to n+sod(n) for n = 123501350399 and 123501350408.

It is not an unprimeable number, because it can be changed into a prime (123501350449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529255 + ... + 726025.

It is an arithmetic number, because the mean of its divisors is an integer number (2510318790).

Almost surely, 2123501350440 is an apocalyptic number.

123501350440 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 123501350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160660402560).

123501350440 is an abundant number, since it is smaller than the sum of its proper divisors (197819454680).

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

123501350440 is a wasteful number, since it uses less digits than its factorization.

123501350440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196883 (or 196879 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 123501350440 its reverse (44053105321), we get a palindrome (167554455761).

The spelling of 123501350440 in words is "one hundred twenty-three billion, five hundred one million, three hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 71 85 104 130 136 142 170 221 260 284 340 355 442 520 568 680 710 884 923 1105 1207 1420 1768 1846 2210 2414 2840 3692 4420 4615 4828 6035 7384 8840 9230 9656 12070 15691 18460 24140 31382 36920 48280 62764 78455 125528 156910 196771 313820 393542 627640 787084 983855 1574168 1967710 2558023 3345107 3935420 5116046 6690214 7870840 10232092 12790115 13380428 13970741 16725535 20464184 25580230 26760856 27941482 33451070 43486391 51160460 55882964 66902140 69853705 86972782 102320920 111765928 133804280 139707410 173945564 181619633 217431955 237502597 279414820 347891128 363239266 434863910 475005194 558829640 726478532 869727820 908098165 950010388 1187512985 1452957064 1739455640 1816196330 1900020776 2375025970 3087533761 3632392660 4750051940 6175067522 7264785320 9500103880 12350135044 15437668805 24700270088 30875337610 61750675220 123501350440