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91221122112 = 2632383248879
BaseRepresentation
bin101010011110100110…
…0111101110001000000
322201110100122010202020
41110331030331301000
52443310101401422
6105523441121440
76406354513221
oct1247514756100
9281410563666
1091221122112
1135760a4421a
1215819929280
1387a9b00843
1445b5169248
15258d68a95c
hex153d33dc40

91221122112 has 112 divisors (see below), whose sum is σ = 254884976640. Its totient is φ = 28734458368.

The previous prime is 91221122101. The next prime is 91221122117. The reversal of 91221122112 is 21122112219.

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

It is not an unprimeable number, because it can be changed into a prime (91221122117) 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, 242089 + ... + 490967.

It is an arithmetic number, because the mean of its divisors is an integer number (2275758720).

Almost surely, 291221122112 is an apocalyptic number.

91221122112 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91221122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127442488320).

91221122112 is an abundant number, since it is smaller than the sum of its proper divisors (163663854528).

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

91221122112 is a wasteful number, since it uses less digits than its factorization.

91221122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249000 (or 248990 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 91221122112 in words is "ninety-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 83 92 96 138 166 184 192 249 276 332 368 498 552 664 736 996 1104 1328 1472 1909 1992 2208 2656 3818 3984 4416 5312 5727 7636 7968 11454 15272 15936 22908 30544 45816 61088 91632 122176 183264 248879 366528 497758 746637 995516 1493274 1991032 2986548 3982064 5724217 5973096 7964128 11448434 11946192 15928256 17172651 20656957 22896868 23892384 34345302 41313914 45793736 47784768 61970871 68690604 82627828 91587472 123941742 137381208 165255656 183174944 247883484 274762416 330511312 366349888 475110011 495766968 549524832 661022624 950220022 991533936 1099049664 1322045248 1425330033 1900440044 1983067872 2850660066 3800880088 3966135744 5701320132 7601760176 11402640264 15203520352 22805280528 30407040704 45610561056 91221122112