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101423100 = 223522314699
BaseRepresentation
bin1100000101110…
…01011111111100
321001211211100010
412002321133330
5201431014400
614021503220
72341040112
oct602713774
9231754303
10101423100
1152283749
1229b71b10
131802148c
14d681ab2
158d86450
hex60b97fc

101423100 has 72 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 25868480.

The previous prime is 101423087. The next prime is 101423117. The reversal of 101423100 is 1324101.

It is a happy number.

It is a super-2 number, since 2×1014231002 = 20573290427220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (4253200).

Almost surely, 2101423100 is an apocalyptic number.

101423100 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 101423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

101423100 is an abundant number, since it is smaller than the sum of its proper divisors (204807300).

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

101423100 is a wasteful number, since it uses less digits than its factorization.

101423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14739 (or 14732 counting only the distinct ones).

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

The square root of 101423100 is about 10070.9036337362. The cubic root of 101423100 is about 466.3503355092.

Adding to 101423100 its reverse (1324101), we get a palindrome (102747201).

The spelling of 101423100 in words is "one hundred one million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 14699 29398 44097 58796 73495 88194 146990 176388 220485 293980 338077 367475 440970 676154 734950 881940 1014231 1102425 1352308 1469900 1690385 2028462 2204850 3380770 4056924 4409700 5071155 6761540 8451925 10142310 16903850 20284620 25355775 33807700 50711550 101423100