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152051246130 = 235725714591931
BaseRepresentation
bin1000110110011011110…
…1011110010000110010
3112112110201020121120110
42031212331132100302
54442400104334010
6153503521522150
713661654160450
oct2154675362062
9475421217513
10152051246130
1159536a67793
12255757a3356
131145252a174
147505d899d0
153e4dc16120
hex2366f5e432

152051246130 has 128 divisors (see below), whose sum is σ = 419181557760. Its totient is φ = 34577694720.

The previous prime is 152051246077. The next prime is 152051246147. The reversal of 152051246130 is 31642150251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78741265 + ... + 78743195.

It is an arithmetic number, because the mean of its divisors is an integer number (3274855920).

Almost surely, 2152051246130 is an apocalyptic number.

152051246130 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 152051246130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209590778880).

152051246130 is an abundant number, since it is smaller than the sum of its proper divisors (267130311630).

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

152051246130 is a wasteful number, since it uses less digits than its factorization.

152051246130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 152051246130 its reverse (31642150251), we get a palindrome (183693396381).

The spelling of 152051246130 in words is "one hundred fifty-two billion, fifty-one million, two hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 257 514 771 1285 1459 1542 1799 1931 2570 2918 3598 3855 3862 4377 5397 5793 7295 7710 8754 8995 9655 10213 10794 11586 13517 14590 17990 19310 20426 21885 26985 27034 28965 30639 40551 43770 51065 53970 57930 61278 67585 81102 102130 135170 153195 202755 306390 374963 405510 496267 749926 992534 1124889 1488801 1874815 2249778 2481335 2624741 2817329 2977602 3473869 3749630 4962670 5249482 5624445 5634658 6947738 7444005 7874223 8451987 10421607 11248890 13123705 14086645 14888010 15748446 16903974 17369345 19721303 20843214 26247410 28173290 34738690 39371115 39442606 42259935 52108035 59163909 78742230 84519870 98606515 104216070 118327818 197213030 295819545 591639090 724053553 1448107106 2172160659 3620267765 4344321318 5068374871 7240535530 10136749742 10860803295 15205124613 21721606590 25341874355 30410249226 50683748710 76025623065 152051246130