Search a number
-
+
13122120100100 = 22521153225079247
BaseRepresentation
bin1011111011110011101101…
…0011101010100100000100
31201110110111010000101100212
42332330323103222210010
53204443100221200400
643524115130054552
72523020240334554
oct276747323524404
951413433011325
1013122120100100
1141aa072781460
12157b1a357a458
1374254517a48b
14335184b6b164
1517b50a825335
hexbef3b4ea904

13122120100100 has 72 divisors (see below), whose sum is σ = 31649743536768. Its totient is φ = 4681648316800.

The previous prime is 13122120100049. The next prime is 13122120100121. The reversal of 13122120100100 is 100102122131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112481324 + ... + 112597923.

It is an arithmetic number, because the mean of its divisors is an integer number (439579771344).

Almost surely, 213122120100100 is an apocalyptic number.

13122120100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122120100100 is an abundant number, since it is smaller than the sum of its proper divisors (18527623436668).

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

13122120100100 is a wasteful number, since it uses less digits than its factorization.

13122120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225079325 (or 225079318 counting only the distinct ones).

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

Adding to 13122120100100 its reverse (100102122131), we get a palindrome (13222222222231).

The spelling of 13122120100100 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 29150 58300 225079247 450158494 900316988 1125396235 2250792470 2475871717 4501584940 4951743434 5626981175 9903486868 11253962350 11929200091 12379358585 22507924700 23858400182 24758717170 47716800364 49517434340 59646000455 61896792925 119292000910 123793585850 131221201001 238584001820 247587171700 262442402002 298230002275 524884804004 596460004550 656106005005 1192920009100 1312212010010 2624424020020 3280530025025 6561060050050 13122120100100