Search a number
-
+
10121130300320 = 2551342221115249
BaseRepresentation
bin1001001101001000001001…
…1000000101001110100000
31022211120101222021001212122
42103102002120011032200
52311311033324102240
633305325535443412
72063141021042024
oct223220230051640
938746358231778
1010121130300320
113252390219536
121175662086568
13585559572140
1426dc18620384
151284192674b5
hex934826053a0

10121130300320 has 96 divisors (see below), whose sum is σ = 25751324466000. Its totient is φ = 3736911790080.

The previous prime is 10121130300319. The next prime is 10121130300331. The reversal of 10121130300320 is 2300303112101.

It can be written as a sum of positive squares in 8 ways, for example, as 4387231863184 + 5733898437136 = 2094572^2 + 2394556^2 .

It is a super-2 number, since 2×101211303003202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87762056 + ... + 87877304.

Almost surely, 210121130300320 is an apocalyptic number.

10121130300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121130300320 is an abundant number, since it is smaller than the sum of its proper divisors (15630194165680).

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

10121130300320 is a wasteful number, since it uses less digits than its factorization.

10121130300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157498 (or 157490 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10121130300320 its reverse (2300303112101), we get a palindrome (12421433412421).

The spelling of 10121130300320 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 42221 84442 115249 168884 211105 230498 337768 422210 460996 548873 576245 675536 844420 921992 1097746 1152490 1351072 1498237 1688840 1843984 2195492 2304980 2744365 2996474 3377680 3687968 4390984 4609960 5488730 5992948 6755360 7491185 8781968 9219920 10977460 11985896 14982370 17563936 18439840 21954920 23971792 29964740 43909840 47943584 59929480 87819680 119858960 239717920 4865928029 9731856058 19463712116 24329640145 38927424232 48659280290 63257064377 77854848464 97318560580 126514128754 155709696928 194637121160 253028257508 316285321885 389274242320 506056515016 632570643770 778548484640 1012113030032 1265141287540 2024226060064 2530282575080 5060565150160 10121130300320