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101333430 = 23551117223
BaseRepresentation
bin1100000101000…
…11100110110110
321001200021100000
412002203212312
5201420132210
614015532130
72340214512
oct602434666
9231607300
10101333430
1152222340
1229b2a046
1317cbc713
14d65b142
158d69ac0
hex60a39b6

101333430 has 192 divisors, whose sum is σ = 317011968. Its totient is φ = 23016960.

The previous prime is 101333411. The next prime is 101333459. The reversal of 101333430 is 34333101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454299 + ... + 454521.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2101333430 is an apocalyptic number.

101333430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101333430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

101333430 is an abundant number, since it is smaller than the sum of its proper divisors (215678538).

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

101333430 is a wasteful number, since it uses less digits than its factorization.

101333430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 101333430 is about 10066.4507151230. The cubic root of 101333430 is about 466.2128587261.

Adding to 101333430 its reverse (34333101), we get a palindrome (135666531).

It can be divided in two parts, 1013 and 33430, that added together give a palindrome (34443).

The spelling of 101333430 in words is "one hundred one million, three hundred thirty-three thousand, four hundred thirty".