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1003011201213 = 371627233312583
BaseRepresentation
bin11101001100010000010…
…00000101100010111101
310112212221120112021222220
432212020020011202331
5112413131331414323
62044435454555553
7132315360353220
oct16461010054275
93485846467886
101003011201213
11357413746a3a
12142482508bb9
13737780a25c8
14367903275b7
151b155cbe0e3
hexe9882058bd

1003011201213 has 32 divisors (see below), whose sum is σ = 1530114533376. Its totient is φ = 572505962688.

The previous prime is 1003011201163. The next prime is 1003011201253. The reversal of 1003011201213 is 3121021103001.

It is a happy number.

It is not a de Polignac number, because 1003011201213 - 210 = 1003011200189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003011201192 and 1003011201201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003011201253) 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 31 ways as a sum of consecutive naturals, for example, 79705320 + ... + 79717902.

It is an arithmetic number, because the mean of its divisors is an integer number (47816079168).

Almost surely, 21003011201213 is an apocalyptic number.

It is an amenable number.

1003011201213 is a deficient number, since it is larger than the sum of its proper divisors (527103332163).

1003011201213 is a wasteful number, since it uses less digits than its factorization.

1003011201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16553.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1003011201213 its reverse (3121021103001), we get a palindrome (4124032304214).

The spelling of 1003011201213 in words is "one trillion, three billion, eleven million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 7 21 1627 2333 4881 6999 11389 12583 16331 34167 37749 48993 88081 264243 3795791 11387373 20472541 26570537 29356139 61417623 79711611 88068417 143307787 205492973 429923361 616478919 47762438153 143287314459 334337067071 1003011201213