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101011322148 = 223112575695233
BaseRepresentation
bin101111000010010111…
…1100111010100100100
3100122201122121211102120
41132010233213110210
53123332344302043
6114223131105540
710204104033402
oct1360457472444
9318648554376
10101011322148
1139925292430
12176b05a22b0
1396aa1b2209
144c634b8472
152962e05983
hex1784be7524

101011322148 has 96 divisors (see below), whose sum is σ = 258623245440. Its totient is φ = 30430986240.

The previous prime is 101011322147. The next prime is 101011322171. The reversal of 101011322148 is 841223110101.

It is not an unprimeable number, because it can be changed into a prime (101011322147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19300140 + ... + 19305372.

It is an arithmetic number, because the mean of its divisors is an integer number (2693992140).

Almost surely, 2101011322148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011322148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129311622720).

101011322148 is an abundant number, since it is smaller than the sum of its proper divisors (157611923292).

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

101011322148 is a wasteful number, since it uses less digits than its factorization.

101011322148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 101011322148 its reverse (841223110101), we get a palindrome (942234432249).

The spelling of 101011322148 in words is "one hundred one billion, eleven million, three hundred twenty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 514 569 771 1028 1138 1542 1707 2276 2827 3084 3414 5233 5654 6259 6828 8481 10466 11308 12518 15699 16962 18777 20932 25036 31398 33924 37554 57563 62796 75108 115126 146233 172689 230252 292466 345378 438699 584932 690756 877398 1344881 1608563 1754796 2689762 2977577 3217126 4034643 4825689 5379524 5955154 6434252 8069286 8932731 9651378 11910308 14793691 16138572 17865462 19302756 29587382 32753347 35730924 44381073 59174764 65506694 88762146 98260041 131013388 177524292 196520082 393040164 765237289 1530474578 2295711867 3060949156 4591423734 8417610179 9182847468 16835220358 25252830537 33670440716 50505661074 101011322148