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101334040 = 23531711151
BaseRepresentation
bin1100000101000…
…11110000011000
321001200022011121
412002203300120
5201420142130
614015535024
72340216343
oct602436030
9231608147
10101334040
1152222845
1229b2a474
1317cbca92
14d65b45a
158d69d7a
hex60a3c18

101334040 has 64 divisors (see below), whose sum is σ = 238878720. Its totient is φ = 38640000.

The previous prime is 101334019. The next prime is 101334041. The reversal of 101334040 is 40433101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101334041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87465 + ... + 88615.

It is an arithmetic number, because the mean of its divisors is an integer number (3732480).

Almost surely, 2101334040 is an apocalyptic number.

101334040 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 101334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439360).

101334040 is an abundant number, since it is smaller than the sum of its proper divisors (137544680).

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

101334040 is a wasteful number, since it uses less digits than its factorization.

101334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 101334040 is about 10066.4810137406. The cubic root of 101334040 is about 466.2137942163.

Adding to 101334040 its reverse (40433101), we get a palindrome (141767141).

It can be divided in two parts, 1013 and 34040, that added together give a palindrome (35053).

The spelling of 101334040 in words is "one hundred one million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 71 124 142 155 248 284 310 355 568 620 710 1151 1240 1420 2201 2302 2840 4402 4604 5755 8804 9208 11005 11510 17608 22010 23020 35681 44020 46040 71362 81721 88040 142724 163442 178405 285448 326884 356810 408605 653768 713620 817210 1427240 1634420 2533351 3268840 5066702 10133404 12666755 20266808 25333510 50667020 101334040