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103300113210 = 235723151141637
BaseRepresentation
bin110000000110100101…
…0101010001100111010
3100212122011101110111220
41200031022222030322
53143024312110320
6115242211532510
710314605321550
oct1401512521472
9325564343456
10103300113210
113a89a247a98
121802abba136
139983431458
144ddd469bd0
152a48d10e40
hex180d2aa33a

103300113210 has 128 divisors (see below), whose sum is σ = 297616564224. Its totient is φ = 22435142400.

The previous prime is 103300113193. The next prime is 103300113223. The reversal of 103300113210 is 12311003301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103300113210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658512 + ... + 800148.

It is an arithmetic number, because the mean of its divisors is an integer number (2325129408).

Almost surely, 2103300113210 is an apocalyptic number.

103300113210 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 103300113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148808282112).

103300113210 is an abundant number, since it is smaller than the sum of its proper divisors (194316451014).

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

103300113210 is a wasteful number, since it uses less digits than its factorization.

103300113210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141828.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103300113210 its reverse (12311003301), we get a palindrome (115611116511).

The spelling of 103300113210 in words is "one hundred three billion, three hundred million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 151 161 210 230 302 322 345 453 483 690 755 805 906 966 1057 1510 1610 2114 2265 2415 3171 3473 4530 4830 5285 6342 6946 10419 10570 15855 17365 20838 24311 31710 34730 48622 52095 72933 104190 121555 141637 145866 243110 283274 364665 424911 708185 729330 849822 991459 1416370 1982918 2124555 2974377 3257651 4249110 4957295 5948754 6515302 9772953 9914590 14871885 16288255 19545906 21387187 22803557 29743770 32576510 42774374 45607114 48864765 64161561 68410671 97729530 106935935 114017785 128323122 136821342 149710309 213871870 228035570 299420618 320807805 342053355 449130927 491905301 641615610 684106710 748551545 898261854 983810602 1475715903 1497103090 2245654635 2459526505 2951431806 3443337107 4491309270 4919053010 6886674214 7378579515 10330011321 14757159030 17216685535 20660022642 34433371070 51650056605 103300113210