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13103101103232 = 273714813291469
BaseRepresentation
bin1011111010101100110110…
…1011111100110010000000
31201101122101122102020102110
42332223031223330302000
53204140122340300412
643511252003015320
72521445026461240
oct276531553746200
951348348366373
1013103101103232
1141a1aa2a80628
12157757606a540
13740803abb08a
1433429cc89b20
1517ac95c86d3c
hexbeacdafcc80

13103101103232 has 128 divisors (see below), whose sum is σ = 39804141686400. Its totient is φ = 3741214187520.

The previous prime is 13103101103179. The next prime is 13103101103237. The reversal of 13103101103232 is 23230110130131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13103101103199 and 13103101103208.

It is not an unprimeable number, because it can be changed into a prime (13103101103237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335194 + ... + 5626662.

It is an arithmetic number, because the mean of its divisors is an integer number (310969856925).

Almost surely, 213103101103232 is an apocalyptic number.

13103101103232 is a gapful number since it is divisible by the number (12) 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 13103101103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902070843200).

13103101103232 is an abundant number, since it is smaller than the sum of its proper divisors (26701040583168).

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

13103101103232 is a wasteful number, since it uses less digits than its factorization.

13103101103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292974 (or 3292962 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13103101103232 its reverse (23230110130131), we get a palindrome (36333211233363).

The spelling of 13103101103232 in words is "thirteen trillion, one hundred three billion, one hundred one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1481 2688 2962 4443 5924 8886 10367 11848 17772 20734 23696 31101 35544 41468 47392 62202 71088 82936 94784 124404 142176 165872 189568 248808 284352 331744 497616 568704 663488 995232 1326976 1990464 3291469 3980928 6582938 9874407 13165876 19748814 23040283 26331752 39497628 46080566 52663504 69120849 78995256 92161132 105327008 138241698 157990512 184322264 210654016 276483396 315981024 368644528 421308032 552966792 631962048 737289056 1105933584 1263924096 1474578112 2211867168 2949156224 4423734336 4874665589 8847468672 9749331178 14623996767 19498662356 29247993534 34122659123 38997324712 58495987068 68245318246 77994649424 102367977369 116991974136 136490636492 155989298848 204735954738 233983948272 272981272984 311978597696 409471909476 467967896544 545962545968 623957195392 818943818952 935935793088 1091925091936 1637887637904 1871871586176 2183850183872 3275775275808 4367700367744 6551550551616 13103101103232