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1003311111012 = 2237195910654933
BaseRepresentation
bin11101001100110100000…
…00001001101101100100
310112220201110212021220020
432212122000021231210
5112414240121023022
62044525331035140
7132325661505630
oct16463200115544
93486643767806
101003311111012
11357557a69681
12142546a3bab0
13737c526b322
14367bc0b5dc0
151b1722b135c
hexe99a009b64

1003311111012 has 96 divisors (see below), whose sum is σ = 2864046259200. Its totient is φ = 266969976192.

The previous prime is 1003311110939. The next prime is 1003311111053. The reversal of 1003311111012 is 2101111133001.

It is a junction number, because it is equal to n+sod(n) for n = 1003311110982 and 1003311111000.

It is an unprimeable number.

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, 5233303 + ... + 5421630.

It is an arithmetic number, because the mean of its divisors is an integer number (29833815200).

Almost surely, 21003311111012 is an apocalyptic number.

1003311111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003311111012 is an abundant number, since it is smaller than the sum of its proper divisors (1860735148188).

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

1003311111012 is a wasteful number, since it uses less digits than its factorization.

1003311111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655025 (or 10655023 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1003311111012 its reverse (2101111133001), we get a palindrome (3104422244013).

The spelling of 1003311111012 in words is "one trillion, three billion, three hundred eleven million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 59 76 84 114 118 133 177 228 236 266 354 399 413 532 708 798 826 1121 1239 1596 1652 2242 2478 3363 4484 4956 6726 7847 13452 15694 23541 31388 47082 94164 10654933 21309866 31964799 42619732 63929598 74584531 127859196 149169062 202443727 223753593 298338124 404887454 447507186 607331181 628641047 809774908 895014372 1214662362 1257282094 1417106089 1885923141 2429324724 2514564188 2834212178 3771846282 4251318267 4400487329 5668424356 7543692564 8502636534 8800974658 11944179893 13201461987 17005273068 17601949316 23888359786 26402923974 35832539679 47776719572 52805847948 71665079358 83609259251 143330158716 167218518502 250827777753 334437037004 501655555506 1003311111012