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11341114722 = 23574377527
BaseRepresentation
bin10101000111111101…
…11010110101100010
31002021101022022200000
422203332322311202
5141211311132342
65113211240430
7551020612260
oct124376726542
932241268600
1011341114722
11489a844393
122246149116
1310b97bc492
14798307430
154659c044c
hex2a3fbad62

11341114722 has 96 divisors (see below), whose sum is σ = 29800522752. Its totient is φ = 3164921424.

The previous prime is 11341114721. The next prime is 11341114727. The reversal of 11341114722 is 22741114311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11341114721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107523 + ... + 185049.

It is an arithmetic number, because the mean of its divisors is an integer number (310422112).

Almost surely, 211341114722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11341114722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900261376).

11341114722 is an abundant number, since it is smaller than the sum of its proper divisors (18459408030).

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

11341114722 is an equidigital number, since it uses as much as digits as its factorization.

11341114722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77594 (or 77582 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The spelling of 11341114722 in words is "eleven billion, three hundred forty-one million, one hundred fourteen thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 243 258 301 378 387 486 567 602 774 903 1134 1161 1701 1806 2322 2709 3402 3483 5418 6966 8127 10449 16254 20898 24381 48762 73143 77527 146286 155054 232581 465162 542689 697743 1085378 1395486 1628067 2093229 3256134 3333661 4186458 4884201 6279687 6667322 9768402 10000983 12559374 14652603 18839061 20001966 23335627 29305206 30002949 37678122 43957809 46671254 60005898 70006881 87915618 90008847 131873427 140013762 180017694 210020643 263746854 270026541 420041286 540053082 630061929 810079623 1260123858 1620159246 1890185787 3780371574 5670557361 11341114722