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991022122222112 = 25312130124770381
BaseRepresentation
bin1110000101010101000101000…
…1100011110100001000100000
311210221220210022122012210012102
43201111101101203310020200
52014343401301242101422
613431421140004545532
7415512662020220501
oct34125212143641040
94727823278183172
10991022122222112
11267852138112402
12931968876b22a8
13336c8ca6441146
14136a1a25ca8ba8
157988b5dd42192
hex38554518f4220

991022122222112 has 72 divisors (see below), whose sum is σ = 2017592646454476. Its totient is φ = 479158230720000.

The previous prime is 991022122222037. The next prime is 991022122222147. The reversal of 991022122222112 is 211222221220199.

It can be written as a sum of positive squares in 2 ways, for example, as 669385014370576 + 321637107851536 = 25872476^2 + 17934244^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27623162 + ... + 52393542.

Almost surely, 2991022122222112 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 991022122222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008796323227238).

991022122222112 is an abundant number, since it is smaller than the sum of its proper divisors (1026570524232364).

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

991022122222112 is a wasteful number, since it uses less digits than its factorization.

991022122222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24771754 (or 24771715 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 991022122222112 in words is "nine hundred ninety-one trillion, twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1301 1922 2602 3844 5204 7688 10408 15376 20816 30752 40331 41632 80662 161324 322648 645296 1250261 1290592 2500522 5001044 10002088 20004176 24770381 40008352 49540762 99081524 198163048 396326096 767881811 792652192 1535763622 3071527244 6143054488 12286108976 23804336141 24572217952 32226265681 47608672282 64452531362 95217344564 128905062724 190434689128 257810125448 380869378256 515620250896 761738756512 999014236111 1031240501792 1998028472222 3996056944444 7992113888888 15984227777776 30969441319441 31968455555552 61938882638882 123877765277764 247755530555528 495511061111056 991022122222112