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1102332011220 = 223251137137109831
BaseRepresentation
bin10000000010101000000…
…110111010001011010100
310220101022102011012201200
4100002220012322023110
5121030033443324340
62202223200352500
7142432546332036
oct20025006721324
93811272135650
101102332011220
113955507565a0
12159780915730
137cc45c7a97b
143b4d30a9c56
151da1a597330
hex100a81ba2d4

1102332011220 has 288 divisors, whose sum is σ = 3773683420416. Its totient is φ = 258109286400.

The previous prime is 1102332011201. The next prime is 1102332011351. The reversal of 1102332011220 is 221102332011.

1102332011220 is a `hidden beast` number, since 1 + 10 + 233 + 201 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1102332011193 and 1102332011202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9981705 + ... + 10091535.

It is an arithmetic number, because the mean of its divisors is an integer number (13103067432).

Almost surely, 21102332011220 is an apocalyptic number.

1102332011220 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 1102332011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886841710208).

1102332011220 is an abundant number, since it is smaller than the sum of its proper divisors (2671351409196).

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

1102332011220 is a wasteful number, since it uses less digits than its factorization.

1102332011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110031 (or 110026 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1102332011220 its reverse (221102332011), we get a palindrome (1323434343231).

The spelling of 1102332011220 in words is "one trillion, one hundred two billion, three hundred thirty-two million, eleven thousand, two hundred twenty".