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99099099099099 = 321131412712906161
BaseRepresentation
bin10110100010000101001110…
…100110010110111111011011
3110222212210002121022221100100
4112202011032212112333123
5100442114423332132344
6550433255253510443
726605450025631411
oct2642051646267733
9428783077287310
1099099099099099
1129637767a2a190
12b14609b942423
13433b00ab393a8
141a685c9d172b1
15b6cbdd139569
hex5a214e996fdb

99099099099099 has 96 divisors (see below), whose sum is σ = 165734373482496. Its totient is φ = 56495750400000.

The previous prime is 99099099099097. The next prime is 99099099099157.

99099099099099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99099099099099 - 21 = 99099099099097 is a prime.

It is a super-2 number, since 2×990990990990992 (a number of 29 digits) contains 22 as substring.

99099099099099 is a modest number, since divided by 99099099 gives 99099 as remainder.

It is not an unprimeable number, because it can be changed into a prime (99099099099097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32646579 + ... + 35552739.

It is an arithmetic number, because the mean of its divisors is an integer number (1726399723776).

Almost surely, 299099099099099 is an apocalyptic number.

99099099099099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99099099099099 is a deficient number, since it is larger than the sum of its proper divisors (66635274383397).

99099099099099 is a wasteful number, since it uses less digits than its factorization.

99099099099099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906521 (or 2906518 counting only the distinct ones).

The product of its (nonzero) digits is 3486784401, while the sum is 90.

The spelling of 99099099099099 in words is "ninety-nine trillion, ninety-nine billion, ninety-nine million, ninety-nine thousand, ninety-nine".

Divisors: 1 3 9 11 31 33 41 93 99 123 271 279 341 369 451 813 1023 1271 1353 2439 2981 3069 3813 4059 8401 8943 11111 11439 13981 25203 26829 33333 41943 75609 92411 99999 122221 125829 277233 344441 366663 831699 1033323 1099989 2906161 3099969 3788851 8718483 11366553 26155449 31967771 34099659 90090991 95903313 119152601 270272973 287709939 357457803 787569631 810818919 991000901 1072373409 1310678611 2362708893 2973002703 3693730631 3932035833 7088126679 8663265941 8919008109 11081191893 11796107499 24414658561 25989797823 32290354871 33243575679 40631036941 73243975683 77969393469 96871064613 121893110823 219731927049 268561244171 290613193839 355193903581 365679332469 805683732513 1001001001001 1065581710743 2417051197539 3003003003003 3196745132229 9009009009009 11011011011011 33033033033033 99099099099099