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1320303002100 = 223526253370379
BaseRepresentation
bin10011001101101000001…
…100010000000111110100
311200012221012000211012220
4103031220030100013310
5133112440032031400
62450312215242340
7164250224230335
oct23155014200764
94605835024186
101320303002100
11469a34696175
12193a729793b0
13976724b1454
1447c8dbc628c
15245265947a0
hex133683101f4

1320303002100 has 72 divisors (see below), whose sum is σ = 3820192054560. Its totient is φ = 352070167680.

The previous prime is 1320303002093. The next prime is 1320303002107. The reversal of 1320303002100 is 12003030231.

It is an interprime number because it is at equal distance from previous prime (1320303002093) and next prime (1320303002107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320303002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320303002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18724711 + ... + 18795089.

It is an arithmetic number, because the mean of its divisors is an integer number (53058222980).

Almost surely, 21320303002100 is an apocalyptic number.

1320303002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320303002100 is an abundant number, since it is smaller than the sum of its proper divisors (2499889052460).

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

1320303002100 is a wasteful number, since it uses less digits than its factorization.

1320303002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132929 (or 132922 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1320303002100 its reverse (12003030231), we get a palindrome (1332306032331).

The spelling of 1320303002100 in words is "one trillion, three hundred twenty billion, three hundred three million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 62533 70379 125066 140758 187599 211137 250132 281516 312665 351895 375198 422274 625330 703790 750396 844548 937995 1055685 1250660 1407580 1563325 1759475 1875990 2111370 3126650 3518950 3751980 4222740 4689975 5278425 6253300 7037900 9379950 10556850 18759900 21113700 4401010007 8802020014 13203030021 17604040028 22005050035 26406060042 44010100070 52812120084 66015150105 88020200140 110025250175 132030300210 220050500350 264060600420 330075750525 440101000700 660151501050 1320303002100