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101203223420 = 2251313728110111
BaseRepresentation
bin101111001000000101…
…1101010001101111100
3100200020000201102111002
41132100023222031330
53124231011122140
6114254144145432
710211624130335
oct1362013521574
9320200642432
10101203223420
1139a13643722
1217744908278
13970ab92170
144c80b8d28c
152974bb0415
hex17902ea37c

101203223420 has 96 divisors (see below), whose sum is σ = 231388932096. Its totient is φ = 36958924800.

The previous prime is 101203223383. The next prime is 101203223461. The reversal of 101203223420 is 24322302101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101203223392 and 101203223401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10004165 + ... + 10014275.

It is an arithmetic number, because the mean of its divisors is an integer number (2410301376).

Almost surely, 2101203223420 is an apocalyptic number.

101203223420 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 101203223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115694466048).

101203223420 is an abundant number, since it is smaller than the sum of its proper divisors (130185708676).

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

101203223420 is a wasteful number, since it uses less digits than its factorization.

101203223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101203223420 its reverse (24322302101), we get a palindrome (125525525521).

The spelling of 101203223420 in words is "one hundred one billion, two hundred three million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 281 548 562 685 1124 1370 1405 1781 2740 2810 3562 3653 5620 7124 7306 8905 10111 14612 17810 18265 20222 35620 36530 38497 40444 50555 73060 76994 101110 131443 153988 192485 202220 262886 384970 500461 525772 657215 769940 1000922 1314430 1385207 2001844 2502305 2628860 2770414 2841191 5004610 5540828 5682382 6926035 10009220 11364764 13852070 14205955 18007691 27704140 28411910 36015382 36935483 56823820 72030764 73870966 90038455 147741932 180076910 184677415 360153820 369354830 389243167 738709660 778486334 1556972668 1946215835 3892431670 5060161171 7784863340 10120322342 20240644684 25300805855 50601611710 101203223420