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1002203221300 = 2252232112065121
BaseRepresentation
bin11101001010101111111…
…01111000110100110100
310112210212021011122220221
432211113331320310310
5112410003011040200
62044223353104124
7132256346552521
oct16452775706464
93483767148827
101002203221300
11357039655746
121422979b8044
1373679887498
1436714cc2148
151b109dbc91a
hexe957f78d34

1002203221300 has 72 divisors (see below), whose sum is σ = 2280092939712. Its totient is φ = 381634176000.

The previous prime is 1002203221247. The next prime is 1002203221303. The reversal of 1002203221300 is 31223022001.

It is a super-2 number, since 2×10022032213002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002203221303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547261 + ... + 1517860.

It is an arithmetic number, because the mean of its divisors is an integer number (31667957496).

Almost surely, 21002203221300 is an apocalyptic number.

1002203221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002203221300 is an abundant number, since it is smaller than the sum of its proper divisors (1277889718412).

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

1002203221300 is a wasteful number, since it uses less digits than its factorization.

1002203221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065369 (or 2065362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1002203221300 its reverse (31223022001), we get a palindrome (1033426243301).

It can be divided in two parts, 1002 and 203221300, that added together give a palindrome (203222302).

The spelling of 1002203221300 in words is "one trillion, two billion, two hundred three million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 211 230 422 460 575 844 1055 1150 2110 2300 4220 4853 5275 9706 10550 19412 21100 24265 48530 97060 121325 242650 485300 2065121 4130242 8260484 10325605 20651210 41302420 47497783 51628025 94995566 103256050 189991132 206512100 237488915 435740531 474977830 871481062 949955660 1187444575 1742962124 2178702655 2374889150 4357405310 4749778300 8714810620 10022032213 10893513275 20044064426 21787026550 40088128852 43574053100 50110161065 100220322130 200440644260 250550805325 501101610650 1002203221300