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2110022202112 = 28112345771287
BaseRepresentation
bin11110101101000111000…
…111111011001100000000
321110201100002000210220121
4132231013013323030000
5234032311140431422
64253155242350024
7305305213535506
oct36550707731400
97421302023817
102110022202112
11743945585750
122a0b2a1bb314
13123c88535b06
14741a89b2676
1539d4700d8c7
hex1eb471fb300

2110022202112 has 144 divisors (see below), whose sum is σ = 4805021071872. Its totient is φ = 915380674560.

The previous prime is 2110022202107. The next prime is 2110022202133. The reversal of 2110022202112 is 2112022200112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 29563333 + ... + 29634619.

It is an arithmetic number, because the mean of its divisors is an integer number (33368201888).

Almost surely, 22110022202112 is an apocalyptic number.

2110022202112 is a gapful number since it is divisible by the number (22) 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 2110022202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402510535936).

2110022202112 is an abundant number, since it is smaller than the sum of its proper divisors (2694998869760).

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

2110022202112 is a wasteful number, since it uses less digits than its factorization.

2110022202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71794 (or 71780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2110022202112 its reverse (2112022200112), we get a palindrome (4222044402224).

The spelling of 2110022202112 in words is "two trillion, one hundred ten billion, twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 457 506 704 736 914 1012 1408 1472 1828 2024 2816 2944 3656 4048 5027 5888 7312 8096 10054 10511 14624 16192 20108 21022 29248 32384 40216 42044 58496 64768 71287 80432 84088 115621 116992 142574 160864 168176 231242 285148 321728 336352 462484 570296 643456 672704 784157 924968 1140592 1286912 1345408 1568314 1639601 1849936 2281184 2690816 3136628 3279202 3699872 4562368 6273256 6558404 7399744 9124736 12546512 13116808 14799488 18035611 18249472 25093024 26233616 29598976 32578159 36071222 50186048 52467232 65156318 72142444 100372096 104934464 130312636 144284888 200744192 209868928 260625272 288569776 358359749 419737856 521250544 577139552 716719498 749297657 1042501088 1154279104 1433438996 1498595314 2085002176 2308558208 2866877992 2997190628 4170004352 4617116416 5733755984 5994381256 8242274227 8340008704 11467511968 11988762512 16484548454 22935023936 23977525024 32969096908 45870047872 47955050048 65938193816 91740095744 95910100096 131876387632 191820200192 263752775264 527505550528 1055011101056 2110022202112