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2102122211232 = 25389373659611
BaseRepresentation
bin11110100101110000001…
…111110110011110100000
321102221221111210200201210
4132211300033312132200
5233420121241224412
64245411314230120
7304605355656231
oct36456017663640
97387844720653
102102122211232
1174056120566a
1229b4a4585340
131232c993a6b4
1473a596dd088
1539a336ba83c
hex1e9703f67a0

2102122211232 has 96 divisors (see below), whose sum is σ = 5595040059840. Its totient is φ = 690975774720.

The previous prime is 2102122211209. The next prime is 2102122211269. The reversal of 2102122211232 is 2321122212012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2102122211199 and 2102122211208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2857107 + ... + 3516717.

It is an arithmetic number, because the mean of its divisors is an integer number (58281667290).

Almost surely, 22102122211232 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 2102122211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797520029920).

2102122211232 is an abundant number, since it is smaller than the sum of its proper divisors (3492917848608).

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

2102122211232 is a wasteful number, since it uses less digits than its factorization.

2102122211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660086 (or 660078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2102122211232 its reverse (2321122212012), we get a palindrome (4423244423244).

The spelling of 2102122211232 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 373 534 712 746 1068 1119 1424 1492 2136 2238 2848 2984 4272 4476 5968 8544 8952 11936 17904 33197 35808 66394 99591 132788 199182 265576 398364 531152 659611 796728 1062304 1319222 1593456 1978833 2638444 3186912 3957666 5276888 7915332 10553776 15830664 21107552 31661328 58705379 63322656 117410758 176116137 234821516 246034903 352232274 469643032 492069806 704464548 738104709 939286064 984139612 1408929096 1476209418 1878572128 1968279224 2817858192 2952418836 3936558448 5635716384 5904837672 7873116896 11809675344 21897106367 23619350688 43794212734 65691319101 87588425468 131382638202 175176850936 262765276404 350353701872 525530552808 700707403744 1051061105616 2102122211232