Search a number
-
+
115202351242030 = 2513171011274063909
BaseRepresentation
bin11010001100011010100011…
…001110010001101100101110
3120002220020101221020001201211
4122030122203032101230232
5110044433403404221110
61045003121325425034
733160044441460033
oct3214324316215456
9502806357201654
10115202351242030
1133786051a58888
1210b06ba240b17a
134c386c582b560
142063b75b7538a
15d4ba269ec98a
hex68c6a3391b2e

115202351242030 has 128 divisors (see below), whose sum is σ = 240672943042560. Its totient is φ = 39325624934400.

The previous prime is 115202351242021. The next prime is 115202351242039. The reversal of 115202351242030 is 30242153202511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115202351242021) and next prime (115202351242039).

It is a junction number, because it is equal to n+sod(n) for n = 115202351241983 and 115202351242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115202351242039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26315716 + ... + 30379624.

It is an arithmetic number, because the mean of its divisors is an integer number (1880257367520).

Almost surely, 2115202351242030 is an apocalyptic number.

115202351242030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115202351242030 is an abundant number, since it is smaller than the sum of its proper divisors (125470591800530).

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

115202351242030 is a wasteful number, since it uses less digits than its factorization.

115202351242030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064174.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 115202351242030 in words is "one hundred fifteen trillion, two hundred two billion, three hundred fifty-one million, two hundred forty-two thousand, thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 101 127 130 170 202 221 254 442 505 635 1010 1105 1270 1313 1651 1717 2159 2210 2626 3302 3434 4318 6565 8255 8585 10795 12827 13130 16510 17170 21590 22321 25654 28067 44642 56134 64135 111605 128270 140335 166751 218059 223210 280670 333502 436118 833755 1090295 1667510 2180590 2834767 4063909 5669534 8127818 14173835 20319545 28347670 40639090 52830817 69086453 105661634 138172906 264154085 345432265 410454809 516116443 528308170 690864530 820909618 898123889 1032232886 1796247778 2052274045 2580582215 4104548090 4490619445 5161164430 5335912517 6709513759 6977731753 8773979531 8981238890 10671825034 13419027518 13955463506 17547959062 26679562585 33547568795 34888658765 43869897655 52127760743 53359125170 67095137590 69777317530 87739795310 90710512789 104255521486 114061733903 181421025578 228123467806 260638803715 453552563945 521277607430 570308669515 677660889659 886171932631 907105127890 1140617339030 1355321779318 1772343865262 3388304448295 4430859663155 6776608896590 8861719326310 11520235124203 23040470248406 57601175621015 115202351242030