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1023110341044 = 22311214926317981
BaseRepresentation
bin11101110001101100010…
…00001110000110110100
310121210211022121101112020
432320312020032012310
5113230312221403134
62102002125153140
7133626425260431
oct16706610160664
93553738541466
101023110341044
1136499812a200
121463516bb7b0
137562c17c35c
1437739858b88
151b9305beb49
hexee3620e1b4

1023110341044 has 144 divisors (see below), whose sum is σ = 2651812732800. Its totient is φ = 306764691200.

The previous prime is 1023110341039. The next prime is 1023110341049. The reversal of 1023110341044 is 4401430113201.

It is an interprime number because it is at equal distance from previous prime (1023110341039) and next prime (1023110341049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023110341049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56890534 + ... + 56908514.

It is an arithmetic number, because the mean of its divisors is an integer number (18415366200).

Almost surely, 21023110341044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023110341044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325906366400).

1023110341044 is an abundant number, since it is smaller than the sum of its proper divisors (1628702391756).

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

1023110341044 is a wasteful number, since it uses less digits than its factorization.

1023110341044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18422 (or 18409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1023110341044 its reverse (4401430113201), we get a palindrome (5424540454245).

The spelling of 1023110341044 in words is "one trillion, twenty-three billion, one hundred ten million, three hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 149 242 263 298 363 447 484 526 596 726 789 894 1052 1452 1578 1639 1788 2893 3156 3278 4917 5786 6556 8679 9834 11572 17358 17981 18029 19668 31823 34716 35962 36058 39187 53943 54087 63646 71924 72116 78374 95469 107886 108174 117561 127292 156748 190938 197791 215772 216348 235122 381876 395582 431057 470244 593373 791164 862114 1186746 1293171 1724228 2175701 2373492 2586342 2679169 4351402 4729003 4741627 5172684 5358338 6527103 8037507 8702804 9458006 9483254 10716676 13054206 14187009 14224881 16075014 18916012 18966508 26108412 28374018 28449762 29470859 32150028 52019033 56748036 56899524 58941718 88412577 104038066 117883436 156057099 176825154 208076132 312114198 324179449 353650308 572209363 624228396 648358898 704621447 972538347 1144418726 1296717796 1409242894 1716628089 1945076694 2113864341 2288837452 2818485788 3433256178 3890153388 4227728682 6866512356 7750835917 8455457364 15501671834 23252507751 31003343668 46505015502 85259195087 93010031004 170518390174 255777585261 341036780348 511555170522 1023110341044