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100303313320 = 23573744921563
BaseRepresentation
bin101110101101010001…
…0110001100110101000
3100120220022101020220101
41131122202301212220
53120410122011240
6114025000035144
710150416044620
oct1353242614650
9316808336811
10100303313320
11395a1672971
1217533462ab4
1395c65ca692
144bd7457880
152920ba039a
hex175a8b19a8

100303313320 has 128 divisors (see below), whose sum is σ = 265495968000. Its totient is φ = 33384185856.

The previous prime is 100303313311. The next prime is 100303313321. The reversal of 100303313320 is 23313303001.

It is not an unprimeable number, because it can be changed into a prime (100303313321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4640859 + ... + 4662421.

It is an arithmetic number, because the mean of its divisors is an integer number (2074187250).

Almost surely, 2100303313320 is an apocalyptic number.

100303313320 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 100303313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132747984000).

100303313320 is an abundant number, since it is smaller than the sum of its proper divisors (165192654680).

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

100303313320 is a wasteful number, since it uses less digits than its factorization.

100303313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22067 (or 22063 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 100303313320 its reverse (23313303001), we get a palindrome (123616616321).

The spelling of 100303313320 in words is "one hundred billion, three hundred three million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 449 518 740 898 1036 1295 1480 1796 2072 2245 2590 3143 3592 4490 5180 6286 8980 10360 12572 15715 16613 17960 21563 25144 31430 33226 43126 62860 66452 83065 86252 107815 116291 125720 132904 150941 166130 172504 215630 232582 301882 332260 431260 465164 581455 603764 664520 754705 797831 862520 930328 1162910 1207528 1509410 1595662 2325820 3018820 3191324 3989155 4651640 5584817 6037640 6382648 7978310 9681787 11169634 15956620 19363574 22339268 27924085 31913240 38727148 44678536 48408935 55848170 67772509 77454296 96817870 111696340 135545018 193635740 223392680 271090036 338862545 358226119 387271480 542180072 677725090 716452238 1355450180 1432904476 1791130595 2507582833 2710900360 2865808952 3582261190 5015165666 7164522380 10030331332 12537914165 14329044760 20060662664 25075828330 50151656660 100303313320