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13423110301100 = 22523138811115701
BaseRepresentation
bin1100001101010100111110…
…1110001010010110101100
31202112020101122011211112002
43003111033232022112230
53224411012214113400
644314254114431432
72553534120666503
oct303251756122654
952466348154462
1013423110301100
114305788909395
1216095a4592578
13764a42195026
143459795c983a
15184274dcbed5
hexc354fb8a5ac

13423110301100 has 72 divisors (see below), whose sum is σ = 30075541458816. Its totient is φ = 5194699200000.

The previous prime is 13423110301099. The next prime is 13423110301109. The reversal of 13423110301100 is 110301132431.

It is a super-2 number, since 2×134231103011002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13423110301109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11473250 + ... + 12588950.

Almost surely, 213423110301100 is an apocalyptic number.

13423110301100 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 13423110301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037770729408).

13423110301100 is an abundant number, since it is smaller than the sum of its proper divisors (16652431157716).

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

13423110301100 is a wasteful number, since it uses less digits than its factorization.

13423110301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119627 (or 1119620 counting only the distinct ones).

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

Adding to 13423110301100 its reverse (110301132431), we get a palindrome (13533411433531).

The spelling of 13423110301100 in words is "thirteen trillion, four hundred twenty-three billion, one hundred ten million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3881 7762 15524 19405 38810 77620 97025 120311 194050 240622 388100 481244 601555 1115701 1203110 2231402 2406220 3007775 4462804 5578505 6015550 11157010 12031100 22314020 27892525 34586731 55785050 69173462 111570100 138346924 172933655 345867310 691734620 864668275 1729336550 3458673100 4330035581 8660071162 17320142324 21650177905 43300355810 86600711620 108250889525 134231103011 216501779050 268462206022 433003558100 536924412044 671155515055 1342311030110 2684622060220 3355777575275 6711555150550 13423110301100