Search a number
-
+
1221442155520 = 210517131107123
BaseRepresentation
bin10001110001100011101…
…000000011010000000000
311022202202101220110200121
4101301203220003100000
5130003003142434040
62333042304230024
7154150322005666
oct21614350032000
94282671813617
101221442155520
11431013287984
1217888260b314
138b2489b0ab2
1443192176c36
1521b8c376c4a
hex11c63a03400

1221442155520 has 176 divisors, whose sum is σ = 3126095995968. Its totient is φ = 456322580480.

The previous prime is 1221442155517. The next prime is 1221442155523. The reversal of 1221442155520 is 255512441221.

It is an interprime number because it is at equal distance from previous prime (1221442155517) and next prime (1221442155523).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221442155523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11348679 + ... + 11455801.

It is an arithmetic number, because the mean of its divisors is an integer number (17761909068).

Almost surely, 21221442155520 is an apocalyptic number.

1221442155520 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 1221442155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563047997984).

1221442155520 is an abundant number, since it is smaller than the sum of its proper divisors (1904653840448).

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

1221442155520 is a wasteful number, since it uses less digits than its factorization.

1221442155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107296 (or 107278 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

Adding to 1221442155520 its reverse (255512441221), we get a palindrome (1476954596741).

The spelling of 1221442155520 in words is "one trillion, two hundred twenty-one billion, four hundred forty-two million, one hundred fifty-five thousand, five hundred twenty".