Search a number
-
+
130122100021100 = 225211711858389657
BaseRepresentation
bin11101100101100001101001…
…100011001001011101101100
3122001201112212212202000122112
4131211201221203021131230
5114023410030101133400
61140425133441103152
736260003640566405
oct3545415143113554
9561645785660575
10130122100021100
1138508522205280
1212716650027ab8
13577b5cc866b95
14241bd2c3989ac
151009b93abc835
hex7658698c976c

130122100021100 has 144 divisors (see below), whose sum is σ = 312393306548736. Its totient is φ = 46647658176000.

The previous prime is 130122100021097. The next prime is 130122100021127. The reversal of 130122100021100 is 1120001221031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451287472 + ... + 1451377128.

It is an arithmetic number, because the mean of its divisors is an integer number (2169397962144).

Almost surely, 2130122100021100 is an apocalyptic number.

130122100021100 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 130122100021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156196653274368).

130122100021100 is an abundant number, since it is smaller than the sum of its proper divisors (182271206527636).

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

130122100021100 is a wasteful number, since it uses less digits than its factorization.

130122100021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108336 (or 108329 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 130122100021100 its reverse (1120001221031), we get a palindrome (131242101242131).

The spelling of 130122100021100 in words is "one hundred thirty trillion, one hundred twenty-two billion, one hundred million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 18583 19525 37166 39050 74332 78100 89657 92915 179314 185830 204413 358628 371660 408826 448285 464575 817652 896570 929150 986227 1022065 1319393 1793140 1858300 1972454 2044130 2241425 2638786 3944908 4088260 4482850 4931135 5110325 5277572 6365647 6596965 8965700 9862270 10220650 12731294 13193930 14513323 19724540 20441300 24655675 25462588 26387860 29026646 31828235 32984825 49311350 58053292 63656470 65969650 70022117 72566615 98622700 127312940 131939300 140044234 145133230 159141175 280088468 290266460 318282350 350110585 362833075 636564700 700221170 725666150 1400442340 1451332300 1666096031 1750552925 3332192062 3501105850 6664384124 7002211700 8330480155 16660960310 18327056341 33321920620 36654112682 41652400775 73308225364 83304801550 91635281705 118292818201 166609603100 183270563410 236585636402 366541126820 458176408525 473171272804 591464091005 916352817050 1182928182010 1301221000211 1832705634100 2365856364020 2602442000422 2957320455025 5204884000844 5914640910050 6506105001055 11829281820100 13012210002110 26024420004220 32530525005275 65061050010550 130122100021100