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1100030031012 = 2231153631249187
BaseRepresentation
bin10000000000011110111…
…001100011010010100100
310220011100222120111112110
4100000132321203102210
5121010330141443022
62201202525121020
7142321524662343
oct20003671432244
93804328514473
101100030031012
1139457a302810
121592399b9170
137c96a0913c3
143b355483b5a
151d93343400c
hex1001ee634a4

1100030031012 has 96 divisors (see below), whose sum is σ = 2857440789504. Its totient is φ = 326533334400.

The previous prime is 1100030030969. The next prime is 1100030031047. The reversal of 1100030031012 is 2101300300011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4289883 + ... + 4539069.

It is an arithmetic number, because the mean of its divisors is an integer number (29765008224).

Almost surely, 21100030031012 is an apocalyptic number.

1100030031012 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 1100030031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428720394752).

1100030031012 is an abundant number, since it is smaller than the sum of its proper divisors (1757410758492).

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

1100030031012 is a wasteful number, since it uses less digits than its factorization.

1100030031012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249889 (or 249887 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1100030031012 its reverse (2101300300011), we get a palindrome (3201330331023).

The spelling of 1100030031012 in words is "one trillion, one hundred billion, thirty million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 631 636 1166 1262 1749 1893 2332 2524 3498 3786 6941 6996 7572 13882 20823 27764 33443 41646 66886 83292 100329 133772 200658 249187 367873 401316 498374 735746 747561 996748 1103619 1471492 1495122 2207238 2741057 2990244 4414476 5482114 8223171 10964228 13206911 16446342 26413822 32892684 39620733 52827644 79241466 145276021 157236997 158482932 290552042 314473994 435828063 471710991 581104084 628947988 871656126 943421982 1729606967 1743312252 1886843964 3459213934 5188820901 6918427868 8333560841 10377641802 16667121682 20755283604 25000682523 33334243364 50001365046 91669169251 100002730092 183338338502 275007507753 366676677004 550015015506 1100030031012