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1013022203004 = 223378419159161
BaseRepresentation
bin11101011110111001101…
…01000001110001111100
310120211210020222212202000
432233130311001301330
5113044132140444004
62053213113302300
7133121430436320
oct16573465016174
93524706885660
101013022203004
11360690695839
121443b7104990
13746b21425c6
143705db11980
151b53eb01c39
hexebdcd41c7c

1013022203004 has 96 divisors (see below), whose sum is σ = 3001922649600. Its totient is φ = 289398718080.

The previous prime is 1013022203003. The next prime is 1013022203027. The reversal of 1013022203004 is 4003022203101.

1013022203004 is a `hidden beast` number, since 10 + 130 + 2 + 220 + 300 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013022203003) by changing a digit.

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, 6285184 + ... + 6444344.

It is an arithmetic number, because the mean of its divisors is an integer number (31270027600).

Almost surely, 21013022203004 is an apocalyptic number.

1013022203004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1013022203004 is an abundant number, since it is smaller than the sum of its proper divisors (1988900446596).

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

1013022203004 is a wasteful number, since it uses less digits than its factorization.

1013022203004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167600 (or 167592 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1013022203004 its reverse (4003022203101), we get a palindrome (5016044406105).

The spelling of 1013022203004 in words is "one trillion, thirteen billion, twenty-two million, two hundred three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 8419 16838 25257 33676 50514 58933 75771 101028 117866 151542 159161 176799 227313 235732 303084 318322 353598 454626 477483 530397 636644 707196 909252 954966 1060794 1114127 1432449 1591191 1909932 2121588 2228254 2864898 3182382 3342381 4297347 4456508 5729796 6364764 6684762 8594694 10027143 13369524 17189388 20054286 30081429 40108572 60162858 120325716 1339976459 2679952918 4019929377 5359905836 8039858754 9379835213 12059788131 16079717508 18759670426 24119576262 28139505639 36179364393 37519340852 48239152524 56279011278 72358728786 84418516917 112558022556 144717457572 168837033834 253255550751 337674067668 506511101502 1013022203004