Search a number
-
+
113103300212130 = 23531672816459683
BaseRepresentation
bin11001101101110111101010…
…000010000011010110100010
3112211110120101110101112202210
4121231313222002003112202
5104311041024323242010
61040314534441222550
732552305134220104
oct3155675202032642
9484416343345683
10113103300212130
1133046927411208
1210828216491a56
134b15798268827
141dd032c2cb574
15d12122c86b20
hex66ddea0835a2

113103300212130 has 128 divisors (see below), whose sum is σ = 285398554484736. Its totient is φ = 28649981606400.

The previous prime is 113103300212101. The next prime is 113103300212131. The reversal of 113103300212130 is 31212003301311.

It is a happy number.

It is a super-2 number, since 2×1131033002121302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113103300212097 and 113103300212106.

It is not an unprimeable number, because it can be changed into a prime (113103300212131) 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, 14279269 + ... + 20738951.

It is an arithmetic number, because the mean of its divisors is an integer number (2229676206912).

Almost surely, 2113103300212130 is an apocalyptic number.

113103300212130 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 113103300212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142699277242368).

113103300212130 is an abundant number, since it is smaller than the sum of its proper divisors (172295254272606).

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

113103300212130 is a wasteful number, since it uses less digits than its factorization.

113103300212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460072.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113103300212130 its reverse (31212003301311), we get a palindrome (144315303513441).

The spelling of 113103300212130 in words is "one hundred thirteen trillion, one hundred three billion, three hundred million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 67 93 134 155 186 201 281 310 335 402 465 562 670 843 930 1005 1405 1686 2010 2077 2810 4154 4215 6231 8430 8711 10385 12462 17422 18827 20770 26133 31155 37654 43555 52266 56481 62310 87110 94135 112962 130665 188270 261330 282405 564810 583637 1167274 1750911 2918185 3501822 5836370 6459683 8754555 12919366 17509110 19379049 32298415 38758098 64596830 96895245 193790490 200250173 400500346 432798761 600750519 865597522 1001250865 1201501038 1298396283 1815170923 2002501730 2163993805 2596792566 3003752595 3630341846 4327987610 5445512769 6007505190 6491981415 9075854615 10891025538 12983962830 13416761591 18151709230 26833523182 27227563845 40250284773 54455127690 56270298613 67083807955 80500569546 112540597226 121616451841 134167615910 168810895839 201251423865 243232903682 281351493065 337621791678 364849355523 402502847730 562702986130 608082259205 729698711046 844054479195 1216164518410 1688108958390 1824246777615 3648493555230 3770110007071 7540220014142 11310330021213 18850550035355 22620660042426 37701100070710 56551650106065 113103300212130