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13101301400440 = 2351134985317149
BaseRepresentation
bin1011111010100110001001…
…1010101000001101111000
31201101110202012221212022111
42332221202122220031320
53204122431124303230
643510353233102104
72521352314322311
oct276514232501570
951343665855274
1013101301400440
1141a125a0aa250
1215771533b7934
137405a7ca3396
1433416bc4d608
1517abdcc8b92a
hexbea626a8378

13101301400440 has 64 divisors (see below), whose sum is σ = 32249882700000. Its totient is φ = 4750458800640.

The previous prime is 13101301400377. The next prime is 13101301400489. The reversal of 13101301400440 is 4400410310131.

It is a happy number.

13101301400440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131013014004402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42505015 + ... + 42812134.

Almost surely, 213101301400440 is an apocalyptic number.

13101301400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101301400440 is an abundant number, since it is smaller than the sum of its proper divisors (19148581299560).

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

13101301400440 is a wasteful number, since it uses less digits than its factorization.

13101301400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85317520 (or 85317516 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13101301400440 its reverse (4400410310131), we get a palindrome (17501711710571).

The spelling of 13101301400440 in words is "thirteen trillion, one hundred one billion, three hundred one million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 349 440 698 1396 1745 2792 3490 3839 6980 7678 13960 15356 19195 30712 38390 76780 153560 85317149 170634298 341268596 426585745 682537192 853171490 938488639 1706342980 1876977278 3412685960 3753954556 4692443195 7507909112 9384886390 18769772780 29775685001 37539545560 59551370002 119102740004 148878425005 238205480008 297756850010 327532535011 595513700020 655065070022 1191027400040 1310130140044 1637662675055 2620260280088 3275325350110 6550650700220 13101301400440