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101324100 = 2235267712
BaseRepresentation
bin1100000101000…
…01010101000100
321001122210112110
412002201111010
5201414332400
614015421020
72340145353
oct602412504
9231583473
10101324100
1152216329
1229b24770
1317cb83b7
14d65799a
158d66e50
hex60a1544

101324100 has 108 divisors (see below), whose sum is σ = 301789712. Its totient is φ = 26241600.

The previous prime is 101324081. The next prime is 101324101. The reversal of 101324100 is 1423101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101324101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1427065 + ... + 1427135.

Almost surely, 2101324100 is an apocalyptic number.

101324100 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 101324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150894856).

101324100 is an abundant number, since it is smaller than the sum of its proper divisors (200465612).

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

101324100 is a wasteful number, since it uses less digits than its factorization.

101324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101324100 is about 10065.9872839181. The cubic root of 101324100 is about 466.1985498599.

Adding to 101324100 its reverse (1423101), we get a palindrome (102747201).

Subtracting from 101324100 its reverse (1423101), we obtain a palindrome (99900999).

The spelling of 101324100 in words is "one hundred one million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 71 75 100 134 142 150 201 213 268 284 300 335 355 402 426 670 710 804 852 1005 1065 1340 1420 1675 1775 2010 2130 3350 3550 4020 4260 4757 5025 5041 5325 6700 7100 9514 10050 10082 10650 14271 15123 19028 20100 20164 21300 23785 25205 28542 30246 47570 50410 57084 60492 71355 75615 95140 100820 118925 126025 142710 151230 237850 252050 285420 302460 337747 356775 378075 475700 504100 675494 713550 756150 1013241 1350988 1427100 1512300 1688735 2026482 3377470 4052964 5066205 6754940 8443675 10132410 16887350 20264820 25331025 33774700 50662050 101324100