Search a number
-
+
14103011233100 = 22527310785921019
BaseRepresentation
bin1100110100111001110011…
…1110011000110101001100
31211221020100002201210021002
43031032130332120311030
53322030431333424400
645554500043155432
72653623523365236
oct315163476306514
954836302653232
1014103011233100
1145480651a3789
1216b9311b15b78
137b3ba657bb0a
1436a8373bb256
15196cb9699ed5
hexcd39cf98d4c

14103011233100 has 144 divisors (see below), whose sum is σ = 31350637180800. Its totient is φ = 5505249784320.

The previous prime is 14103011233081. The next prime is 14103011233111. The reversal of 14103011233100 is 133211030141.

It is a super-2 number, since 2×141030112331002 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670954391 + ... + 670975409.

It is an arithmetic number, because the mean of its divisors is an integer number (217712758200).

Almost surely, 214103011233100 is an apocalyptic number.

14103011233100 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 14103011233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675318590400).

14103011233100 is an abundant number, since it is smaller than the sum of its proper divisors (17247625947700).

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

14103011233100 is a wasteful number, since it uses less digits than its factorization.

14103011233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22072 (or 22065 counting only the distinct ones).

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

Adding to 14103011233100 its reverse (133211030141), we get a palindrome (14236222263241).

The spelling of 14103011233100 in words is "fourteen trillion, one hundred three billion, eleven million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 107 146 214 292 365 428 535 730 859 1070 1460 1718 1825 2140 2675 3436 3650 4295 5350 7300 7811 8590 10700 15622 17180 21019 21475 31244 39055 42038 42950 62707 78110 84076 85900 91913 105095 125414 156220 183826 195275 210190 250828 313535 367652 390550 420380 459565 525475 627070 781100 919130 1050950 1254140 1534387 1567675 1838260 2101900 2249033 2297825 3068774 3135350 4498066 4595650 6137548 6270700 6709649 7671935 8996132 9191300 11245165 13419298 15343870 18055321 22490330 26838596 30687740 33548245 36110642 38359675 44980660 56225825 67096490 72221284 76719350 90276605 112451650 134192980 153438700 164179409 167741225 180553210 224903300 328358818 335482450 361106420 451383025 656717636 670964900 820897045 902766050 1318038433 1641794090 1805532100 1931919347 2636076866 3283588180 3863838694 4104485225 5272153732 6590192165 7727677388 8208970450 9659596735 13180384330 16417940900 19319193470 26360768660 32950960825 38638386940 48297983675 65901921650 96595967350 131803843300 141030112331 193191934700 282060224662 564120449324 705150561655 1410301123310 2820602246620 3525752808275 7051505616550 14103011233100