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13110013210020 = 22354320872434787
BaseRepresentation
bin1011111011000110100110…
…1011100010110110100100
31201102022020100202122101120
42332301221223202312210
53204243301340210040
643514353521253540
72522111230431126
oct276615153426644
951368210678346
1013110013210020
1141a4a1a752781
121578984a942b0
13741365b2bcac
14334756c87216
1517b04c9dd7d0
hexbec69ae2da4

13110013210020 has 96 divisors (see below), whose sum is σ = 37579725646848. Its totient is φ = 3413063536512.

The previous prime is 13110013209973. The next prime is 13110013210031. The reversal of 13110013210020 is 2001231001131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4167067 + ... + 6601853.

It is an arithmetic number, because the mean of its divisors is an integer number (391455475488).

Almost surely, 213110013210020 is an apocalyptic number.

13110013210020 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 13110013210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789862823424).

13110013210020 is an abundant number, since it is smaller than the sum of its proper divisors (24469712436828).

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

13110013210020 is a wasteful number, since it uses less digits than its factorization.

13110013210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436929 (or 2436927 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13110013210020 its reverse (2001231001131), we get a palindrome (15111244211151).

The spelling of 13110013210020 in words is "thirteen trillion, one hundred ten billion, thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2087 2580 4174 6261 8348 10435 12522 20870 25044 31305 41740 62610 89741 125220 179482 269223 358964 448705 538446 897410 1076892 1346115 1794820 2434787 2692230 4869574 5384460 7304361 9739148 12173935 14608722 24347870 29217444 36521805 48695740 73043610 104695841 146087220 209391682 314087523 418783364 523479205 628175046 1046958410 1256350092 1570437615 2093916820 3140875230 5081400469 6281750460 10162800938 15244201407 20325601876 25407002345 30488402814 50814004690 60976805628 76221007035 101628009380 152442014070 218500220167 304884028140 437000440334 655500660501 874000880668 1092501100835 1311001321002 2185002201670 2622002642004 3277503302505 4370004403340 6555006605010 13110013210020