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10111133030012 = 2273741733260869
BaseRepresentation
bin1001001100100010111001…
…1111100001011001111100
31022210121121020122010011222
42103020232133201121330
52311130100023430022
633300553531332512
72062335205456250
oct223105637413174
938717536563158
1010111133030012
11324911aaa9373
121173731bb1138
135846252cc291
1426d54a9ac260
15128031748242
hex9322e7e167c

10111133030012 has 96 divisors (see below), whose sum is σ = 21566820266880. Its totient is φ = 4057041530880.

The previous prime is 10111133029981. The next prime is 10111133030017. The reversal of 10111133030012 is 21003033111101.

It is a super-2 number, since 2×101111330300122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111133030017) 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, 1470314 + ... + 4731182.

It is an arithmetic number, because the mean of its divisors is an integer number (224654377780).

Almost surely, 210111133030012 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 10111133030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783410133440).

10111133030012 is an abundant number, since it is smaller than the sum of its proper divisors (11455687236868).

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

10111133030012 is a wasteful number, since it uses less digits than its factorization.

10111133030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261031 (or 3261029 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10111133030012 its reverse (21003033111101), we get a palindrome (31114166141113).

The spelling of 10111133030012 in words is "ten trillion, one hundred eleven billion, one hundred thirty-three million, thirty thousand, twelve".

Divisors: 1 2 4 7 14 28 37 41 73 74 82 146 148 164 259 287 292 511 518 574 1022 1036 1148 1517 2044 2701 2993 3034 5402 5986 6068 10619 10804 11972 18907 20951 21238 37814 41902 42476 75628 83804 110741 221482 442964 775187 1550374 3100748 3260869 6521738 13043476 22826083 45652166 91304332 120652153 133695629 238043437 241304306 267391258 476086874 482608612 534782516 844565071 935869403 952173748 1666304059 1689130142 1871738806 3332608118 3378260284 3743477612 4946738273 6665216236 8807607169 9759780917 9893476546 17615214338 19519561834 19786953092 34627167911 35230428676 39039123668 61653250183 68318466419 69254335822 123306500366 136636932838 138508671644 246613000732 273273865676 361111893929 722223787858 1444447575716 2527783257503 5055566515006 10111133030012