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2122102002096 = 243359781710651
BaseRepresentation
bin11110111000010111001…
…000101101000110110000
321111212111221022020021000
4132320113020231012300
5234232031103031341
64302514042402000
7306213444253326
oct36702710550660
97455457266230
102122102002096
11748a8429121a
122a333b800300
1312516208a95b
14749d3043d16
153a3027938b6
hex1ee1722d1b0

2122102002096 has 160 divisors (see below), whose sum is σ = 6195833798400. Its totient is φ = 695223820800.

The previous prime is 2122102002049. The next prime is 2122102002107. The reversal of 2122102002096 is 6902002012212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199234371 + ... + 199245021.

It is an arithmetic number, because the mean of its divisors is an integer number (38723961240).

Almost surely, 22122102002096 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 2122102002096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097916899200).

2122102002096 is an abundant number, since it is smaller than the sum of its proper divisors (4073731796304).

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

2122102002096 is a wasteful number, since it uses less digits than its factorization.

2122102002096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18544 (or 18532 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2122102002096 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 6372 7817 8496 10651 12744 15634 21302 23451 25488 31268 31953 42604 46902 62536 63906 70353 85208 93804 95859 125072 127812 140706 170416 187608 191718 211059 255624 281412 287577 375216 383436 422118 461203 511248 562824 575154 628409 766872 844236 922406 1125648 1150308 1256818 1383609 1533744 1688472 1844812 1885227 2300616 2513636 2767218 3376944 3689624 3770454 4150827 4601232 5027272 5534436 5655681 7379248 7540908 8301654 10054544 11068872 11311362 12452481 15081816 16603308 16967043 22137744 22622724 24904962 30163632 33206616 33934086 45245448 49809924 66413232 67868172 83258867 90490896 99619848 135736344 166517734 199239696 249776601 271472688 333035468 499553202 666070936 749329803 999106404 1332141872 1498659606 1998212808 2247989409 2997319212 3996425616 4495978818 4912273153 5994638424 8991957636 9824546306 11989276848 14736819459 17983915272 19649092612 29473638918 35967830544 39298185224 44210458377 58947277836 78596370448 88420916754 117894555672 132631375131 176841833508 235789111344 265262750262 353683667016 530525500524 707367334032 1061051001048 2122102002096