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1013011032012 = 223717853831643
BaseRepresentation
bin11101011110111000010…
…10011010011111001100
310120211202110222100000120
432233130022122133030
5113044121311011022
62053212034024540
7133121233461660
oct16573412323714
93524673870016
101013011032012
11360685355911
121443b3418150
13746aca30a55
143705c4448a0
151b53db46d5c
hexebdc29a7cc

1013011032012 has 96 divisors (see below), whose sum is σ = 2863623071232. Its totient is φ = 272086649856.

The previous prime is 1013011031987. The next prime is 1013011032079. The reversal of 1013011032012 is 2102301103101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1013011031982 and 1013011032000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802263 + ... + 1633905.

It is an arithmetic number, because the mean of its divisors is an integer number (29829406992).

Almost surely, 21013011032012 is an apocalyptic number.

1013011032012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013011032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431811535616).

1013011032012 is an abundant number, since it is smaller than the sum of its proper divisors (1850612039220).

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

1013011032012 is a wasteful number, since it uses less digits than its factorization.

1013011032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832527 (or 832525 counting only the distinct ones).

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

Adding to 1013011032012 its reverse (2102301103101), we get a palindrome (3115312135113).

The spelling of 1013011032012 in words is "one trillion, thirteen billion, eleven million, thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 853 1428 1706 2559 3412 5118 5971 10236 11942 14501 17913 23884 29002 35826 43503 58004 71652 87006 101507 174012 203014 304521 406028 609042 831643 1218084 1663286 2494929 3326572 4989858 5821501 9979716 11643002 14137931 17464503 23286004 28275862 34929006 42413793 56551724 69858012 84827586 98965517 169655172 197931034 296896551 395862068 593793102 709391479 1187586204 1418782958 2128174437 2837565916 4256348874 4965740353 8512697748 9931480706 12059655143 14897221059 19862961412 24119310286 29794442118 36178965429 48238620572 59588884236 72357930858 84417586001 144715861716 168835172002 253252758003 337670344004 506505516006 1013011032012