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2122020000096 = 253172131610163
BaseRepresentation
bin11110111000010010001…
…111111001000101100000
321111212022020000002122220
4132320102033321011200
5234231344110000341
64302501553031040
7306211430251413
oct36702217710540
97455266002586
102122020000096
11748a41a72977
122a3318255480
1312514b0a9269
14749c61b9b7a
153a2ea496a66
hex1ee123f9160

2122020000096 has 96 divisors (see below), whose sum is σ = 5900744723328. Its totient is φ = 665418270720.

The previous prime is 2122020000091. The next prime is 2122020000103. The reversal of 2122020000096 is 6900000202212.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122020000091) 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, 3172711 + ... + 3782873.

It is an arithmetic number, because the mean of its divisors is an integer number (61466090868).

Almost surely, 22122020000096 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 2122020000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950372361664).

2122020000096 is an abundant number, since it is smaller than the sum of its proper divisors (3778724723232).

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

2122020000096 is a wasteful number, since it uses less digits than its factorization.

2122020000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612324 (or 612316 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 2122020000096 in words is "two trillion, one hundred twenty-two billion, twenty million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2131 4262 6393 8524 12786 17048 25572 34096 36227 51144 68192 72454 102288 108681 144908 204576 217362 289816 434724 579632 610163 869448 1159264 1220326 1738896 1830489 2440652 3477792 3660978 4881304 7321956 9762608 10372771 14643912 19525216 20745542 29287824 31118313 41491084 58575648 62236626 82982168 124473252 165964336 248946504 331928672 497893008 995786016 1300257353 2600514706 3900772059 5201029412 7801544118 10402058824 15603088236 20804117648 22104375001 31206176472 41608235296 44208750002 62412352944 66313125003 88417500004 124824705888 132626250006 176835000008 265252500012 353670000016 530505000024 707340000032 1061010000048 2122020000096