Search a number
-
+
10113540224520 = 23356710511196863
BaseRepresentation
bin1001001100101011110111…
…1110001111011000001000
31022210211211000012021021010
42103022331332033120020
52311200012244141040
633302032442043520
72062451645336115
oct223127576173010
938724730167233
1010113540224520
11324a145885217
1211740a41a95a0
13584919c36825
1426d6d858190c
15128122c40e80
hex932bdf8f608

10113540224520 has 128 divisors (see below), whose sum is σ = 30822790717440. Its totient is φ = 2654161171200.

The previous prime is 10113540224339. The next prime is 10113540224591. The reversal of 10113540224520 is 2542204531101.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7851609 + ... + 9048471.

It is an arithmetic number, because the mean of its divisors is an integer number (240803052480).

Almost surely, 210113540224520 is an apocalyptic number.

10113540224520 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 10113540224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411395358720).

10113540224520 is an abundant number, since it is smaller than the sum of its proper divisors (20709250492920).

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

10113540224520 is a wasteful number, since it uses less digits than its factorization.

10113540224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197995 (or 1197991 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10113540224520 its reverse (2542204531101), we get a palindrome (12655744755621).

The spelling of 10113540224520 in words is "ten trillion, one hundred thirteen billion, five hundred forty million, two hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1051 1340 1608 2010 2102 2680 3153 4020 4204 5255 6306 8040 8408 10510 12612 15765 21020 25224 31530 42040 63060 70417 126120 140834 211251 281668 352085 422502 563336 704170 845004 1056255 1196863 1408340 1690008 2112510 2393726 2816680 3590589 4225020 4787452 5984315 7181178 8450040 9574904 11968630 14362356 17952945 23937260 28724712 35905890 47874520 71811780 80189821 143623560 160379642 240569463 320759284 400949105 481138926 641518568 801898210 962277852 1202847315 1257903013 1603796420 1924555704 2405694630 2515806026 3207592840 3773709039 4811389260 5031612052 6289515065 7547418078 9622778520 10063224104 12579030130 15094836156 18868545195 25158060260 30189672312 37737090390 50316120520 75474180780 84279501871 150948361560 168559003742 252838505613 337118007484 421397509355 505677011226 674236014968 842795018710 1011354022452 1264192528065 1685590037420 2022708044904 2528385056130 3371180074840 5056770112260 10113540224520