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103332001212220 = 225111034560105967
BaseRepresentation
bin10111011111101011011011…
…001110011110011100111100
3111112212102221211102211221011
4113133223123032132130330
5102020442414302242340
61003434022132245004
730523330214141554
oct2737533316363474
9445772854384834
10103332001212220
112aa19945908580
12b70a526170764
134587220649881
141b7341cd88164
15be2d80d4d0ea
hex5dfadb39e73c

103332001212220 has 48 divisors (see below), whose sum is σ = 239022514418688. Its totient is φ = 37210464682560.

The previous prime is 103332001212169. The next prime is 103332001212227. The reversal of 103332001212220 is 22212100233301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103332001212191 and 103332001212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332001212227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2280030324 + ... + 2280075643.

It is an arithmetic number, because the mean of its divisors is an integer number (4979635717056).

Almost surely, 2103332001212220 is an apocalyptic number.

103332001212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103332001212220 is an abundant number, since it is smaller than the sum of its proper divisors (135690513206468).

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

103332001212220 is a wasteful number, since it uses less digits than its factorization.

103332001212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560106090 (or 4560106088 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103332001212220 its reverse (22212100233301), we get a palindrome (125544101445521).

The spelling of 103332001212220 in words is "one hundred three trillion, three hundred thirty-two billion, one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 11330 22660 4560105967 9120211934 18240423868 22800529835 45601059670 50161165637 91202119340 100322331274 200644662548 250805828185 469690914601 501611656370 939381829202 1003223312740 1878763658404 2348454573005 4696909146010 5166600060611 9393818292020 10333200121222 20666400242444 25833000303055 51666000606110 103332001212220