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1111085021748 = 2231329390762861
BaseRepresentation
bin10000001010110001110…
…100111111101000110100
310221012220102111012212210
4100022301310333220310
5121201000231143443
62210231520013420
7143162502600132
oct20126164775064
93835812435783
101111085021748
1139923258a999
1215b404161270
1380a0c500940
143bac378a752
151dd7dc36c33
hex102b1d3fa34

1111085021748 has 96 divisors (see below), whose sum is σ = 2889016824960. Its totient is φ = 329993879040.

The previous prime is 1111085021747. The next prime is 1111085021759. The reversal of 1111085021748 is 8471205801111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111085021743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17643838 + ... + 17706698.

It is an arithmetic number, because the mean of its divisors is an integer number (30093925260).

Almost surely, 21111085021748 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 1111085021748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444508412480).

1111085021748 is an abundant number, since it is smaller than the sum of its proper divisors (1777931803212).

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

1111085021748 is a wasteful number, since it uses less digits than its factorization.

1111085021748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66817 (or 66815 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 39.

The spelling of 1111085021748 in words is "one trillion, one hundred eleven billion, eighty-five million, twenty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 3907 4524 7814 11721 15628 23442 46884 50791 62861 101582 113303 125722 152373 188583 203164 226606 251444 304746 339909 377166 453212 609492 679818 754332 817193 1359636 1472939 1634386 1822969 2451579 2945878 3268772 3645938 4418817 4903158 5468907 5891756 7291876 8837634 9806316 10937814 17675268 21875628 23698597 47397194 71095791 94794388 142191582 245597927 284383164 491195854 736793781 982391708 1473587562 2947175124 3192773051 6385546102 7122339883 9578319153 12771092204 14244679766 19156638306 21367019649 28489359532 38313276612 42734039298 85468078596 92590418479 185180836958 277771255437 370361673916 555542510874 1111085021748