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1133123101020 = 22335172291092297
BaseRepresentation
bin10000011111010011011…
…001100110000101011100
311000022210022000122022000
4100133103121212011130
5122031114003213040
62224314412322300
7144602563304121
oct20372331460534
94008708018260
101133123101020
113a76114a5049
12163734773390
1382b121c6131
143cbb4600748
151e71d888130
hex107d366615c

1133123101020 has 576 divisors, whose sum is σ = 3911214384000. Its totient is φ = 271947497472.

The previous prime is 1133123101013. The next prime is 1133123101021. The reversal of 1133123101020 is 201013213311.

1133123101020 is a `hidden beast` number, since 1 + 1 + 331 + 2 + 310 + 1 + 0 + 20 = 666.

It is a super-2 number, since 2×11331231010202 (a number of 25 digits) contains 22 as substring.

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 = 1133123100984 and 1133123101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133123101021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 493304512 + ... + 493306808.

It is an arithmetic number, because the mean of its divisors is an integer number (6790302750).

Almost surely, 21133123101020 is an apocalyptic number.

1133123101020 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 1133123101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955607192000).

1133123101020 is an abundant number, since it is smaller than the sum of its proper divisors (2778091282980).

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

1133123101020 is a wasteful number, since it uses less digits than its factorization.

1133123101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1133123101020 its reverse (201013213311), we get a palindrome (1334136314331).

The spelling of 1133123101020 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-three million, one hundred one thousand, twenty".