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102022100992 = 211736719391
BaseRepresentation
bin101111100000011111…
…1011011100000000000
3100202100002120201100001
41133000333123200000
53132420124212432
6114511315405344
710241126356450
oct1370077334000
9322302521301
10102022100992
113a2a38a8549
1217932bb3854
13980b7245c6
144d1b82dd60
1529c1a159e7
hex17c0fdb800

102022100992 has 96 divisors (see below), whose sum is σ = 233783746560. Its totient is φ = 43602370560.

The previous prime is 102022100987. The next prime is 102022101011. The reversal of 102022100992 is 299001220201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102022100992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5251617 + ... + 5271007.

It is an arithmetic number, because the mean of its divisors is an integer number (2435247360).

Almost surely, 2102022100992 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 102022100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116891873280).

102022100992 is an abundant number, since it is smaller than the sum of its proper divisors (131761645568).

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

102022100992 is an equidigital number, since it uses as much as digits as its factorization.

102022100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19787 (or 19767 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 102022100992 in words is "one hundred two billion, twenty-two million, one hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 367 448 512 734 896 1024 1468 1792 2048 2569 2936 3584 5138 5872 7168 10276 11744 14336 19391 20552 23488 38782 41104 46976 77564 82208 93952 135737 155128 164416 187904 271474 310256 328832 375808 542948 620512 657664 751616 1085896 1241024 1315328 2171792 2482048 2630656 4343584 4964096 5261312 7116497 8687168 9928192 14232994 17374336 19856384 28465988 34748672 39712768 49815479 56931976 69497344 99630958 113863952 138994688 199261916 227727904 277989376 398523832 455455808 797047664 910911616 1594095328 1821823232 3188190656 3643646464 6376381312 7287292928 12752762624 14574585856 25505525248 51011050496 102022100992