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90012202101 = 33671372511447
BaseRepresentation
bin101001111010100100…
…1010011010001110101
322121100002211122021000
41103311021103101311
52433321110431401
6105203453513513
76334405044123
oct1236511232165
9277302748230
1090012202101
11351a05a5778
1215540aa2899
138646505263
1444dc796913
15251c48c186
hex14f5253475

90012202101 has 64 divisors (see below), whose sum is σ = 136967362560. Its totient is φ = 58406832000.

The previous prime is 90012202087. The next prime is 90012202117. The reversal of 90012202101 is 10120221009.

It is not a de Polignac number, because 90012202101 - 27 = 90012201973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90012202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62205360 + ... + 62206806.

It is an arithmetic number, because the mean of its divisors is an integer number (2140115040).

Almost surely, 290012202101 is an apocalyptic number.

It is an amenable number.

90012202101 is a deficient number, since it is larger than the sum of its proper divisors (46955160459).

90012202101 is a wasteful number, since it uses less digits than its factorization.

90012202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 90012202101 in words is "ninety billion, twelve million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 27 67 137 201 251 411 603 753 1233 1447 1809 2259 3699 4341 6777 9179 13023 16817 27537 34387 39069 50451 82611 96949 103161 151353 198239 247833 290847 309483 363197 454059 594717 872541 928449 1089591 1784151 2303929 2617623 3268773 5352453 6911787 9806319 13282013 20735361 24334199 39846039 49757989 62206083 73002597 119538117 149273967 219007791 358614351 447821901 657023373 1343465703 3333785263 10001355789 30004067367 90012202101