Search a number
-
+
1102322543140 = 2257134329348073
BaseRepresentation
bin10000000010100111100…
…010110010101000100100
310220101021202100011222001
4100002213202302220210
5121030024032340030
62202222221415044
7142432403006230
oct20024742625044
93811252304861
101102322543140
1139554637a035
1215977970a484
137cc44014260
143b4d1b235c0
151da19826cca
hex100a78b2a24

1102322543140 has 192 divisors, whose sum is σ = 2925348281856. Its totient is φ = 339583684608.

The previous prime is 1102322543131. The next prime is 1102322543141. The reversal of 1102322543140 is 413452232011.

It is a super-3 number, since 3×11023225431403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1102322543099 and 1102322543108.

It is not an unprimeable number, because it can be changed into a prime (1102322543141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22906144 + ... + 22954216.

It is an arithmetic number, because the mean of its divisors is an integer number (15236188968).

Almost surely, 21102322543140 is an apocalyptic number.

1102322543140 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 1102322543140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462674140928).

1102322543140 is an abundant number, since it is smaller than the sum of its proper divisors (1823025738716).

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

1102322543140 is a wasteful number, since it uses less digits than its factorization.

1102322543140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48438 (or 48436 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1102322543140 its reverse (413452232011), we get a palindrome (1515774775151).

The spelling of 1102322543140 in words is "one trillion, one hundred two billion, three hundred twenty-two million, five hundred forty-three thousand, one hundred forty".