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1099129901001 = 311297116399241
BaseRepresentation
bin11111111111010010011…
…11110100111111001001
310220002001020211011021220
433333221033310333021
5121002004223313001
62200533332152253
7142260315002526
oct17775117647711
93802036734256
101099129901001
113941581a1810
12159028468689
137c8557507b2
143b2abad214d
151d8ce3cdc36
hexffe93f4fc9

1099129901001 has 64 divisors (see below), whose sum is σ = 1687463331840. Its totient is φ = 630213696000.

The previous prime is 1099129900993. The next prime is 1099129901053. The reversal of 1099129901001 is 1001099219901.

It is not a de Polignac number, because 1099129901001 - 23 = 1099129900993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1099129908001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11025741 + ... + 11124981.

It is an arithmetic number, because the mean of its divisors is an integer number (26366614560).

Almost surely, 21099129901001 is an apocalyptic number.

1099129901001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1099129901001 is a deficient number, since it is larger than the sum of its proper divisors (588333430839).

1099129901001 is a wasteful number, since it uses less digits than its factorization.

1099129901001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99518.

The product of its (nonzero) digits is 13122, while the sum is 42.

It can be divided in two parts, 10991 and 29901001, that added together give a palindrome (29911992).

The spelling of 1099129901001 in words is "one trillion, ninety-nine billion, one hundred twenty-nine million, nine hundred one thousand, one".

Divisors: 1 3 11 29 33 71 87 163 213 319 489 781 957 1793 2059 2343 4727 5379 6177 11573 14181 22649 34719 51997 67947 99241 127303 155991 297723 335617 381909 1006851 1091651 2877989 3274953 3691787 7046111 8633967 11075361 16176283 21138333 31657879 48528849 77507221 94973637 177939113 204337219 232521663 469112207 533817339 613011657 1148516093 1407336621 2247709409 3445548279 5160234277 6743128227 12633677023 15480702831 33306966697 37901031069 99920900091 366376633667 1099129901001