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2100000122192 = 247433527123631
BaseRepresentation
bin11110100011110001110…
…000101110010101010000
321102202110121201101211102
4132203301300232111100
5233401300012402232
64244420550403532
7304501650342560
oct36436160562520
97382417641742
102100000122192
1173a67235a775
1229abb19605a8
1312304c0b75cb
14738d7942da0
153995c23d662
hex1e8f1c2e550

2100000122192 has 80 divisors (see below), whose sum is σ = 4759527370752. Its totient is φ = 878813470080.

The previous prime is 2100000122147. The next prime is 2100000122221. The reversal of 2100000122192 is 2912210000012.

It is a happy number.

It is a congruent number.

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, 16924217 + ... + 17047847.

Almost surely, 22100000122192 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 2100000122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379763685376).

2100000122192 is an abundant number, since it is smaller than the sum of its proper divisors (2659527248560).

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

2100000122192 is a wasteful number, since it uses less digits than its factorization.

2100000122192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127216 (or 127210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 2100000122192 in words is "two trillion, one hundred billion, one hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 3527 4816 7054 14108 24689 28216 49378 56432 98756 123631 151661 197512 247262 303322 395024 494524 606644 865417 989048 1061627 1213288 1730834 1978096 2123254 2426576 3461668 4246508 5316133 6923336 8493016 10632266 13846672 16986032 21264532 37212931 42529064 74425862 85058128 148851724 297703448 436046537 595406896 872093074 1744186148 3052325759 3488372296 6104651518 6976744592 12209303036 18750001091 24418606072 37500002182 48837212144 75000004364 131250007637 150000008728 262500015274 300000017456 525000030548 1050000061096 2100000122192