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13101132210320 = 2457112193346107
BaseRepresentation
bin1011111010100101100001…
…0101001110000010010000
31201101110022102121010002202
42332221120111032002100
53204122104321212240
643510324350502332
72521345161245540
oct276513025160220
951343272533082
1013101132210320
1141a1182650200
1215771068049a8
1374057bc1589b
143341535ab320
1517abccebb315
hexbea5854e090

13101132210320 has 120 divisors (see below), whose sum is σ = 38263968157632. Its totient is φ = 4083469758720.

The previous prime is 13101132210289. The next prime is 13101132210323. The reversal of 13101132210320 is 2301223110131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13101132210292 and 13101132210301.

It is not an unprimeable number, because it can be changed into a prime (13101132210323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96605294 + ... + 96740813.

Almost surely, 213101132210320 is an apocalyptic number.

13101132210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101132210320 is an abundant number, since it is smaller than the sum of its proper divisors (25162835947312).

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

13101132210320 is a wasteful number, since it uses less digits than its factorization.

13101132210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193346149 (or 193346132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13101132210320 its reverse (2301223110131), we get a palindrome (15402355320451).

The spelling of 13101132210320 in words is "thirteen trillion, one hundred one billion, one hundred thirty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 3080 3388 4235 4840 6160 6776 8470 9680 13552 16940 33880 67760 193346107 386692214 773384428 966730535 1353422749 1546768856 1933461070 2126807177 2706845498 3093537712 3866922140 4253614354 5413690996 6767113745 7733844280 8507228708 10634035885 10827381992 13534227490 14887650239 15467688560 17014457416 21268071770 21654763984 23394878947 27068454980 29775300478 34028914832 42536143540 46789757894 54136909960 59550600956 74438251195 85072287080 93579515788 108273819920 116974394735 119101201912 148876502390 163764152629 170144574160 187159031576 233948789470 238202403824 297753004780 327528305258 374318063152 467897578940 595506009560 655056610516 818820763145 935795157880 1191012019120 1310113221032 1637641526290 1871590315760 2620226442064 3275283052580 6550566105160 13101132210320