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1003223200121 = 191131434732569
BaseRepresentation
bin11101001100101001100…
…00110011000101111001
310112220111100102221211022
432212110300303011321
5112414100114400441
62044512510512225
7132323543333642
oct16462460630571
93486440387738
101003223200121
1135751238494a
12142521505675
13737acc9b24c
14367b05506c9
151b1696e884b
hexe994c33179

1003223200121 has 16 divisors (see below), whose sum is σ = 1065476740800. Its totient is φ = 941916584448.

The previous prime is 1003223200073. The next prime is 1003223200139. The reversal of 1003223200121 is 1210023223001.

1003223200121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003223200121 is a prime.

It is a super-2 number, since 2×10032232001212 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1003223200121.

It is not an unprimeable number, because it can be changed into a prime (1003223200921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30786725 + ... + 30819293.

It is an arithmetic number, because the mean of its divisors is an integer number (66592296300).

Almost surely, 21003223200121 is an apocalyptic number.

It is an amenable number.

1003223200121 is a deficient number, since it is larger than the sum of its proper divisors (62253540679).

1003223200121 is a wasteful number, since it uses less digits than its factorization.

1003223200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47048.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1003223200121 its reverse (1210023223001), we get a palindrome (2213246423122).

The spelling of 1003223200121 in words is "one trillion, three billion, two hundred twenty-three million, two hundred thousand, one hundred twenty-one".

Divisors: 1 19 113 2147 14347 32569 272593 618811 1621211 3680297 30803009 69925643 467267443 8878081417 52801221059 1003223200121