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11222100112 = 2417192837673
BaseRepresentation
bin10100111001110001…
…11010100010010000
31001222002100202022111
422130320322202100
5140440324200422
65053320315104
7545044164016
oct123470724220
931862322274
1011222100112
114839645a03
122212312a94
13109ac4bc32
147865a68b6
1545a311a77
hex29ce3a890

11222100112 has 80 divisors (see below), whose sum is σ = 24322282560. Its totient is φ = 4984713216.

The previous prime is 11222100083. The next prime is 11222100121. The reversal of 11222100112 is 21100122211.

It is a junction number, because it is equal to n+sod(n) for n = 11222100092 and 11222100101.

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, 1458708 + ... + 1466380.

It is an arithmetic number, because the mean of its divisors is an integer number (304028532).

Almost surely, 211222100112 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 11222100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161141280).

11222100112 is an abundant number, since it is smaller than the sum of its proper divisors (13100182448).

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

11222100112 is a wasteful number, since it uses less digits than its factorization.

11222100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11222100112 its reverse (21100122211), we get a palindrome (32322222323).

The spelling of 11222100112 in words is "eleven billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 283 304 323 566 646 1132 1292 2264 2584 4528 4811 5168 5377 7673 9622 10754 15346 19244 21508 30692 38488 43016 61384 76976 86032 91409 122768 130441 145787 182818 260882 291574 365636 521764 583148 731272 1043528 1166296 1462544 2087056 2171459 2332592 2478379 4342918 4956758 8685836 9913516 17371672 19827032 34743344 36914803 39654064 41257721 73829606 82515442 147659212 165030884 295318424 330061768 590636848 660123536 701381257 1402762514 2805525028 5611050056 11222100112