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123150130152 = 23373749939703
BaseRepresentation
bin111001010110001010…
…0011101101111101000
3102202212112200210200120
41302230110131233220
54004202413131102
6132324022403240
711616526556220
oct1625424355750
9382775623616
10123150130152
1148256046575
121ba4a890520
13b7c7a14aca
145d6386d080
15330b8026bc
hex1cac51dbe8

123150130152 has 128 divisors (see below), whose sum is σ = 362100480000. Its totient is φ = 34165317888.

The previous prime is 123150130121. The next prime is 123150130183. The reversal of 123150130152 is 251031051321.

It is an interprime number because it is at equal distance from previous prime (123150130121) and next prime (123150130183).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3081933 + ... + 3121635.

It is an arithmetic number, because the mean of its divisors is an integer number (2828910000).

Almost surely, 2123150130152 is an apocalyptic number.

123150130152 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 123150130152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181050240000).

123150130152 is an abundant number, since it is smaller than the sum of its proper divisors (238950349848).

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

123150130152 is a wasteful number, since it uses less digits than its factorization.

123150130152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40255 (or 40251 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 123150130152 its reverse (251031051321), we get a palindrome (374181181473).

The spelling of 123150130152 in words is "one hundred twenty-three billion, one hundred fifty million, one hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 499 518 777 888 998 1036 1497 1554 1996 2072 2994 3108 3493 3992 5988 6216 6986 10479 11976 13972 18463 20958 27944 36926 39703 41916 55389 73852 79406 83832 110778 119109 129241 147704 158812 221556 238218 258482 277921 317624 387723 443112 476436 516964 555842 775446 833763 952872 1033928 1111684 1469011 1550892 1667526 2223368 2938022 3101784 3335052 4407033 5876044 6670104 8814066 10283077 11752088 17628132 19811797 20566154 30849231 35256264 39623594 41132308 59435391 61698462 79247188 82264616 118870782 123396924 138682579 158494376 237741564 246793848 277365158 416047737 475483128 554730316 733036489 832095474 1109460632 1466072978 1664190948 2199109467 2932145956 3328381896 4398218934 5131255423 5864291912 8796437868 10262510846 15393766269 17592875736 20525021692 30787532538 41050043384 61575065076 123150130152