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10302412140150 = 23521312314291867
BaseRepresentation
bin1001010111101011011110…
…0111011010111001110110
31100110220022211000200210120
42111322313213122321312
52322243320001441100
633524510210432410
72112216243205344
oct225726747327166
940426284020716
1010302412140150
113312257084979
1211a4814b92706
135996899337a0
142788d4770994
1512cec92750a0
hex95eb79dae76

10302412140150 has 96 divisors (see below), whose sum is σ = 27537723806208. Its totient is φ = 2533917686400.

The previous prime is 10302412140149. The next prime is 10302412140151. The reversal of 10302412140150 is 5104121420301.

It is an interprime number because it is at equal distance from previous prime (10302412140149) and next prime (10302412140151).

It is a super-2 number, since 2×103024121401502 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10302412140150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302412140151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254517 + ... + 4546383.

It is an arithmetic number, because the mean of its divisors is an integer number (286851289648).

Almost surely, 210302412140150 is an apocalyptic number.

10302412140150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302412140150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768861903104).

10302412140150 is an abundant number, since it is smaller than the sum of its proper divisors (17235311666058).

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

10302412140150 is a wasteful number, since it uses less digits than its factorization.

10302412140150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293126 (or 4293121 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10302412140150 its reverse (5104121420301), we get a palindrome (15406533560451).

The spelling of 10302412140150 in words is "ten trillion, three hundred two billion, four hundred twelve million, one hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1231 1950 2462 3693 6155 7386 12310 16003 18465 30775 32006 36930 48009 61550 80015 92325 96018 160030 184650 240045 400075 480090 800150 1200225 2400450 4291867 8583734 12875601 21459335 25751202 42918670 55794271 64378005 107296675 111588542 128756010 167382813 214593350 278971355 321890025 334765626 557942710 643780050 836914065 1394856775 1673828130 2789713550 4184570325 5283288277 8369140650 10566576554 15849864831 26416441385 31699729662 52832882770 68682747601 79249324155 132082206925 137365495202 158498648310 206048242803 264164413850 343413738005 396246620775 412096485606 686827476010 792493241550 1030241214015 1717068690025 2060482428030 3434137380050 5151206070075 10302412140150