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1003103213200 = 245211220725273
BaseRepresentation
bin11101001100011011001…
…11000101011010010000
310112220011222122222201021
432212031213011122100
5112413323410310300
62044452543045224
7132320555425564
oct16461547053220
93486158588637
101003103213200
11357460681a00
121424a92a0814
137379117a27a
143679c6396a4
151b15dde6d1a
hexe98d9c5690

1003103213200 has 90 divisors (see below), whose sum is σ = 2648959445762. Its totient is φ = 364764787200.

The previous prime is 1003103213197. The next prime is 1003103213251. The reversal of 1003103213200 is 23123013001.

It can be written as a sum of positive squares in 3 ways, for example, as 74323845376 + 928779367824 = 272624^2 + 963732^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 17 ways as a sum of consecutive naturals, for example, 10314237 + ... + 10411036.

Almost surely, 21003103213200 is an apocalyptic number.

1003103213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003103213200 is an abundant number, since it is smaller than the sum of its proper divisors (1645856232562).

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

1003103213200 is a wasteful number, since it uses less digits than its factorization.

1003103213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20725313 (or 20725291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1003103213200 its reverse (23123013001), we get a palindrome (1026226226201).

The spelling of 1003103213200 in words is "one trillion, three billion, one hundred three million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 20725273 41450546 82901092 103626365 165802184 207252730 227978003 331604368 414505460 455956006 518131825 829010920 911912012 1036263650 1139890015 1658021840 1823824024 2072527300 2279780030 2507758033 3647648048 4145054600 4559560060 5015516066 5699450075 8290109200 9119120120 10031032132 11398900150 12538790165 18238240240 20062064264 22797800300 25077580330 40124128528 45595600600 50155160660 62693950825 91191201200 100310321320 125387901650 200620642640 250775803300 501551606600 1003103213200