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100300110210 = 232529362310607
BaseRepresentation
bin101110101101001011…
…0100011100110000010
3100120220002100112001200
41131122112203212002
53120403312011320
6114024403242030
710150346604246
oct1353226434602
9316802315050
10100300110210
113959a885373
1217532379316
1395c5a48751
144bd6c62426
15292076b290
hex175a5a3982

100300110210 has 96 divisors (see below), whose sum is σ = 269872611840. Its totient is φ = 25814834304.

The previous prime is 100300110133. The next prime is 100300110221. The reversal of 100300110210 is 12011003001.

It is a super-2 number, since 2×1003001102102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100300110192 and 100300110201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9450727 + ... + 9461333.

It is an arithmetic number, because the mean of its divisors is an integer number (2811173040).

Almost surely, 2100300110210 is an apocalyptic number.

100300110210 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 100300110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134936305920).

100300110210 is an abundant number, since it is smaller than the sum of its proper divisors (169572501630).

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

100300110210 is a wasteful number, since it uses less digits than its factorization.

100300110210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14272 (or 14269 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100300110210 its reverse (12011003001), we get a palindrome (112311113211).

The spelling of 100300110210 in words is "one hundred billion, three hundred million, one hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 3623 7246 10607 10869 18115 21214 21738 31821 32607 36230 53035 54345 63642 65214 95463 105067 106070 108690 159105 163035 190926 210134 307603 315201 318210 326070 477315 525335 615206 630402 922809 945603 954630 1050670 1538015 1576005 1845618 1891206 2768427 3076030 3152010 4614045 4728015 5536854 9228090 9456030 13842135 27684270 38429161 76858322 115287483 192145805 230574966 345862449 384291610 576437415 691724898 1114445669 1152874830 1729312245 2228891338 3343337007 3458624490 5572228345 6686674014 10030011021 11144456690 16716685035 20060022042 33433370070 50150055105 100300110210