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120153000520 = 23571761413807
BaseRepresentation
bin110111111100110101…
…1010100101001001000
3102111010200001211202101
41233321223110221020
53432033132004040
6131110355443144
711452334440030
oct1577153245110
9374120054671
10120153000520
1146a58266733
121b352bb64b4
13b43aac6c17
145b5b7b28c0
1531d362909a
hex1bf9ad4a48

120153000520 has 128 divisors (see below), whose sum is σ = 332503004160. Its totient is φ = 38136360960.

The previous prime is 120153000481. The next prime is 120153000521. The reversal of 120153000520 is 25000351021.

It is not an unprimeable number, because it can be changed into a prime (120153000521) 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, 83457 + ... + 497263.

It is an arithmetic number, because the mean of its divisors is an integer number (2597679720).

Almost surely, 2120153000520 is an apocalyptic number.

120153000520 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 120153000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166251502080).

120153000520 is an abundant number, since it is smaller than the sum of its proper divisors (212350003640).

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

120153000520 is a wasteful number, since it uses less digits than its factorization.

120153000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413903 (or 413899 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 120153000520 its reverse (25000351021), we get a palindrome (145153351541).

The spelling of 120153000520 in words is "one hundred twenty billion, one hundred fifty-three million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 61 68 70 85 119 122 136 140 170 238 244 280 305 340 427 476 488 595 610 680 854 952 1037 1190 1220 1708 2074 2135 2380 2440 3416 4148 4270 4760 5185 7259 8296 8540 10370 14518 17080 20740 29036 36295 41480 58072 72590 145180 290360 413807 827614 1655228 2069035 2896649 3310456 4138070 5793298 7034719 8276140 11586596 14069438 14483245 16552280 23173192 25242227 28138876 28966490 35173595 49243033 50484454 56277752 57932980 70347190 98486066 100968908 115865960 126211135 140694380 176695589 196972132 201937816 246215165 252422270 281388760 353391178 393944264 429117859 492430330 504844540 706782356 858235718 883477945 984860660 1009689080 1413564712 1716471436 1766955890 1969721320 2145589295 3003825013 3432942872 3533911780 4291178590 6007650026 7067823560 8582357180 12015300052 15019125065 17164714360 24030600104 30038250130 60076500260 120153000520