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1111132332144 = 2432113631108217
BaseRepresentation
bin10000001010110100101…
…001011110000001110000
310221020000201111211112200
4100022310221132001300
5121201044334112034
62210240330023200
7143163615663252
oct20126451360160
93836021454480
101111132332144
1139925726399a
1215b417b77b00
1380a19256a63
143bac9b83cd2
151dd82e7ea99
hex102b4a5e070

1111132332144 has 120 divisors (see below), whose sum is σ = 3142146856992. Its totient is φ = 366514606080.

The previous prime is 1111132332109. The next prime is 1111132332151. The reversal of 1111132332144 is 4412332311111.

1111132332144 is a `hidden beast` number, since 1 + 1 + 1 + 11 + 323 + 321 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10213524 + ... + 10321740.

Almost surely, 21111132332144 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 1111132332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571073428496).

1111132332144 is an abundant number, since it is smaller than the sum of its proper divisors (2031014524848).

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

1111132332144 is a wasteful number, since it uses less digits than its factorization.

1111132332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108975 (or 108966 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1111132332144 its reverse (4412332311111), we get a palindrome (5523464643255).

The spelling of 1111132332144 in words is "one trillion, one hundred eleven billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 631 678 904 1017 1262 1356 1808 1893 2034 2524 2712 3786 4068 5048 5424 5679 7572 8136 10096 11358 15144 16272 22716 30288 45432 71303 90864 108217 142606 213909 216434 285212 324651 427818 432868 570424 641727 649302 855636 865736 973953 1140848 1283454 1298604 1711272 1731472 1947906 2566908 2597208 3422544 3895812 5133816 5194416 7791624 10267632 12228521 15583248 24457042 36685563 48914084 68284927 73371126 97828168 110056689 136569854 146742252 195656336 204854781 220113378 273139708 293484504 409709562 440226756 546279416 586969008 614564343 819419124 880453512 1092558832 1229128686 1638838248 1760907024 2458257372 3277676496 4916514744 7716196751 9833029488 15432393502 23148590253 30864787004 46297180506 61729574008 69445770759 92594361012 123459148016 138891541518 185188722024 277783083036 370377444048 555566166072 1111132332144