Search a number
-
+
103363135620 = 223537109742443
BaseRepresentation
bin110000001000011101…
…1000100100010000100
3100212210112222100000020
41200100323010202010
53143141430314440
6115252342415140
710316302104423
oct1402073044204
9325715870006
10103363135620
113a921882728
12180481314b0
1399934c9014
1450079932ba
152a4e60e3d0
hex1810ec4884

103363135620 has 96 divisors (see below), whose sum is σ = 297516820608. Its totient is φ = 26793464832.

The previous prime is 103363135543. The next prime is 103363135697. The reversal of 103363135620 is 26531363301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103363135543) and next prime (103363135697).

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, 2414119 + ... + 2456561.

It is an arithmetic number, because the mean of its divisors is an integer number (3099133548).

Almost surely, 2103363135620 is an apocalyptic number.

103363135620 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 103363135620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148758410304).

103363135620 is an abundant number, since it is smaller than the sum of its proper divisors (194153684988).

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

103363135620 is a wasteful number, since it uses less digits than its factorization.

103363135620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43589 (or 43587 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 103363135620 its reverse (26531363301), we get a palindrome (129894498921).

The spelling of 103363135620 in words is "one hundred three billion, three hundred sixty-three million, one hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1097 1110 2194 2220 3291 4388 5485 6582 10970 13164 16455 21940 32910 40589 42443 65820 81178 84886 121767 127329 162356 169772 202945 212215 243534 254658 405890 424430 487068 509316 608835 636645 811780 848860 1217670 1273290 1570391 2435340 2546580 3140782 4711173 6281564 7851955 9422346 15703910 18844692 23555865 31407820 46559971 47111730 93119942 94223460 139679913 186239884 232799855 279359826 465599710 558719652 698399565 931199420 1396799130 1722718927 2793598260 3445437854 5168156781 6890875708 8613594635 10336313562 17227189270 20672627124 25840783905 34454378540 51681567810 103363135620