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101103413320 = 235713191461877
BaseRepresentation
bin101111000101000111…
…0111010100001001000
3100122222001220112202201
41132022032322201020
53124024433211240
6114240221005544
710206302555650
oct1361216724110
9318861815681
10101103413320
1139972271938
12177173b38b4
1396c32b6c30
144c7180b360
15296b046d9a
hex178a3ba848

101103413320 has 128 divisors (see below), whose sum is σ = 294714604800. Its totient is φ = 30313460736.

The previous prime is 101103413309. The next prime is 101103413329. The reversal of 101103413320 is 23314301101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (101103413329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661779 + ... + 800098.

It is an arithmetic number, because the mean of its divisors is an integer number (2302457850).

Almost surely, 2101103413320 is an apocalyptic number.

101103413320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101103413320 is an abundant number, since it is smaller than the sum of its proper divisors (193611191480).

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

101103413320 is a wasteful number, since it uses less digits than its factorization.

101103413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461927 (or 1461923 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101103413320 its reverse (23314301101), we get a palindrome (124417714421).

The spelling of 101103413320 in words is "one hundred one billion, one hundred three million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 34580 69160 1461877 2923754 5847508 7309385 10233139 11695016 14618770 19004401 20466278 27775663 29237540 38008802 40932556 51165695 55551326 58475080 76017604 81865112 95022005 102331390 111102652 133030807 138878315 152035208 190044010 194429641 204662780 222205304 266061614 277756630 361083619 380088020 388859282 409325560 532123228 555513260 665154035 722167238 760176040 777718564 972148205 1064246456 1111026520 1330308070 1444334476 1555437128 1805418095 1944296410 2527585333 2660616140 2888668952 3610836190 3888592820 5055170666 5321232280 7221672380 7777185640 10110341332 12637926665 14443344760 20220682664 25275853330 50551706660 101103413320