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1222100100192 = 253611012066257
BaseRepresentation
bin10001110010001010110…
…101111010010001100000
311022211110020221112002210
4101302022311322101200
5130010330111201232
62333231450242120
7154202531312016
oct21621265722140
94284406845083
101222100100192
11431320712504
12178a26a26340
138b3220b6c7a
14432156c48b6
1521bc9edd5cc
hex11c8ad7a460

1222100100192 has 96 divisors (see below), whose sum is σ = 3292887929184. Its totient is φ = 396721152000.

The previous prime is 1222100100191. The next prime is 1222100100211. The reversal of 1222100100192 is 2910010012221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222100100191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441673 + ... + 1624584.

It is an arithmetic number, because the mean of its divisors is an integer number (34300915929).

Almost surely, 21222100100192 is an apocalyptic number.

1222100100192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1222100100192 is an abundant number, since it is smaller than the sum of its proper divisors (2070787828992).

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

1222100100192 is a wasteful number, since it uses less digits than its factorization.

1222100100192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066432 (or 2066424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 1222100100192 in words is "one trillion, two hundred twenty-two billion, one hundred million, one hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 101 122 183 202 244 303 366 404 488 606 732 808 976 1212 1464 1616 1952 2424 2928 3232 4848 5856 6161 9696 12322 18483 24644 36966 49288 73932 98576 147864 197152 295728 591456 2066257 4132514 6198771 8265028 12397542 16530056 24795084 33060112 49590168 66120224 99180336 126041677 198360672 208691957 252083354 378125031 417383914 504166708 626075871 756250062 834767828 1008333416 1252151742 1512500124 1669535656 2016666832 2504303484 3025000248 3339071312 4033333664 5008606968 6050000496 6678142624 10017213936 12100000992 12730209377 20034427872 25460418754 38190628131 50920837508 76381256262 101841675016 152762512524 203683350032 305525025048 407366700064 611050050096 1222100100192