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101031700 = 225271113121
BaseRepresentation
bin1100000010110…
…01111100010100
321001002221102211
412001121330110
5201331003300
614005243204
72334520030
oct601317424
9231087384
10101031700
1152036680
1229a03504
1317c15293
14d5bd1c0
158d0a4ba
hex6059f14

101031700 has 72 divisors (see below), whose sum is σ = 273357504. Its totient is φ = 31488000.

The previous prime is 101031673. The next prime is 101031751. The reversal of 101031700 is 7130101.

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, 1140 + ... + 14260.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2101031700 is an apocalyptic number.

101031700 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 101031700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136678752).

101031700 is an abundant number, since it is smaller than the sum of its proper divisors (172325804).

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

101031700 is a wasteful number, since it uses less digits than its factorization.

101031700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153 (or 13146 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 101031700 is about 10051.4526313364. The cubic root of 101031700 is about 465.7496675326.

Adding to 101031700 its reverse (7130101), we get a palindrome (108161801).

The spelling of 101031700 in words is "one hundred one million, thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 13121 26242 52484 65605 91847 131210 144331 183694 262420 288662 328025 367388 459235 577324 656050 721655 918470 1010317 1312100 1443310 1836940 2020634 2296175 2886620 3608275 4041268 4592350 5051585 7216550 9184700 10103170 14433100 20206340 25257925 50515850 101031700