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13121010223220 = 2251099281648509
BaseRepresentation
bin1011111011101111100100…
…1001110100100001110100
31201110100121202120210111202
42332323321021310201310
53204433312104120340
643523413041352032
72522650602464114
oct276737111644164
951410552523452
1013121010223220
1141a9653230539
12157ab33938618
137423c924bcb3
143350bb5bb044
1517b49318cc15
hexbeef9274874

13121010223220 has 48 divisors (see below), whose sum is σ = 27809950568400. Its totient is φ = 5199685263360.

The previous prime is 13121010223199. The next prime is 13121010223229. The reversal of 13121010223220 is 2232201012131.

It can be written as a sum of positive squares in 8 ways, for example, as 4448479976164 + 8672530247056 = 2109142^2 + 2944916^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13121010223192 and 13121010223201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121010223229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19908326 + ... + 20556834.

It is an arithmetic number, because the mean of its divisors is an integer number (579373970175).

Almost surely, 213121010223220 is an apocalyptic number.

13121010223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121010223220 is an abundant number, since it is smaller than the sum of its proper divisors (14688940345180).

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

13121010223220 is a wasteful number, since it uses less digits than its factorization.

13121010223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657908 (or 657906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13121010223220 its reverse (2232201012131), we get a palindrome (15353211235351).

The spelling of 13121010223220 in words is "thirteen trillion, one hundred twenty-one billion, ten million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 9281 18562 37124 46405 92810 185620 648509 1011629 1297018 2023258 2594036 3242545 4046516 5058145 6485090 10116290 12970180 20232580 70687481 141374962 282749924 353437405 706874810 1413749620 6018812029 12037624058 24075248116 30094060145 60188120290 120376240580 656050511161 1312101022322 2624202044644 3280252555805 6560505111610 13121010223220