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1003202121012 = 2237134321364727
BaseRepresentation
bin11101001100100111000…
…00011000110100110100
310112220102212210000201120
432212103200120310310
5112414024220333022
62044510435023540
7132323166221550
oct16462340306464
93486385700646
101003202121012
113575014978a3
1214251643abb0
13737a87ca8c0
14367ab824860
151b167932d5c
hexe993818d34

1003202121012 has 96 divisors (see below), whose sum is σ = 2947990628352. Its totient is φ = 258427725696.

The previous prime is 1003202120993. The next prime is 1003202121037. The reversal of 1003202121012 is 2101212023001.

It is a junction number, because it is equal to n+sod(n) for n = 1003202120982 and 1003202121000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10635408 + ... + 10729319.

It is an arithmetic number, because the mean of its divisors is an integer number (30708235712).

Almost surely, 21003202121012 is an apocalyptic number.

1003202121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003202121012 is an abundant number, since it is smaller than the sum of its proper divisors (1944788507340).

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

1003202121012 is a wasteful number, since it uses less digits than its factorization.

1003202121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21364797 (or 21364795 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1003202121012 its reverse (2101212023001), we get a palindrome (3104414144013).

The spelling of 1003202121012 in words is "one trillion, three billion, two hundred two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 1092 1118 1204 1677 1806 2236 3354 3612 3913 6708 7826 11739 15652 23478 46956 21364727 42729454 64094181 85458908 128188362 149553089 256376724 277741451 299106178 448659267 555482902 598212356 833224353 897318534 918683261 1110965804 1666448706 1794637068 1837366522 1944190157 2756049783 3332897412 3674733044 3888380314 5512099566 5832570471 6430782827 7776760628 11024199132 11665140942 11942882393 12861565654 19292348481 23330281884 23885764786 25723131308 35828647179 38584696962 47771529572 71657294358 77169393924 83600176751 143314588716 167200353502 250800530253 334400707004 501601060506 1003202121012