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103033204032420 = 223252962491932181
BaseRepresentation
bin10111011011010101001001…
…100001101100001110100100
3111111210212201010211102022100
4113123111021201230032210
5102001044000213014140
61003044444523532100
730462621563051514
oct2733251141541644
9444725633742270
10103033204032420
112a914155673962
12b68063768a030
134564cb2a8bcbc
141b62b958ab844
15bda1e4085530
hex5db54986c3a4

103033204032420 has 72 divisors (see below), whose sum is σ = 312535268955000. Its totient is φ = 27475414110720.

The previous prime is 103033204032391. The next prime is 103033204032439. The reversal of 103033204032420 is 24230402330301.

103033204032420 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 3 + 204 + 0 + 32 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61992191214144 + 41041012818276 = 7873512^2 + 6406326^2 .

It is a super-2 number, since 2×1030332040324202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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, 52358730 + ... + 54290910.

It is an arithmetic number, because the mean of its divisors is an integer number (4340767624375).

Almost surely, 2103033204032420 is an apocalyptic number.

103033204032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103033204032420 is an abundant number, since it is smaller than the sum of its proper divisors (209502064922580).

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

103033204032420 is a wasteful number, since it uses less digits than its factorization.

103033204032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228445 (or 2228440 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 103033204032420 its reverse (24230402330301), we get a palindrome (127263606362721).

The spelling of 103033204032420 in words is "one hundred three trillion, thirty-three billion, two hundred four million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 296249 592498 888747 1184996 1481245 1777494 1932181 2666241 2962490 3554988 3864362 4443735 5332482 5796543 5924980 7728724 8887470 9660905 10664964 11593086 13331205 17389629 17774940 19321810 23186172 26662410 28982715 34779258 38643620 53324820 57965430 69558516 86948145 115930860 173896290 347792580 572406689069 1144813378138 1717220067207 2289626756276 2862033445345 3434440134414 5151660201621 5724066890690 6868880268828 8586100336035 10303320403242 11448133781380 17172200672070 20606640806484 25758301008105 34344401344140 51516602016210 103033204032420