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210022122122192 = 241719313343392143
BaseRepresentation
bin101111110000001110010101…
…111110111110101111010000
31000112121220210210112120000202
4233300032111332332233100
5210012000301230402232
62022402455252234332
762144411654631152
oct5760162576765720
91015556723476022
10210022122122192
1160a12977744186
121b67b83b90b9a8
139026002657223
1439c11a6c02ad2
1519432561d5162
hexbf0395fbebd0

210022122122192 has 160 divisors (see below), whose sum is σ = 468302003896320. Its totient is φ = 90584425543680.

The previous prime is 210022122122159. The next prime is 210022122122231. The reversal of 210022122122192 is 291221221220012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535379273 + ... + 535771415.

It is an arithmetic number, because the mean of its divisors is an integer number (2926887524352).

Almost surely, 2210022122122192 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 210022122122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234151001948160).

210022122122192 is an abundant number, since it is smaller than the sum of its proper divisors (258279881774128).

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

210022122122192 is a wasteful number, since it uses less digits than its factorization.

210022122122192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395561 (or 395555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 210022122122192 in words is "two hundred ten trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 31 34 38 62 68 76 124 136 152 248 272 304 323 496 527 589 646 1054 1178 1292 2108 2356 2584 3343 4216 4712 5168 6686 8432 9424 10013 13372 20026 26744 40052 53488 56831 63517 80104 103633 113662 127034 160208 207266 227324 254068 392143 414532 454648 508136 784286 829064 909296 1016272 1079789 1568572 1658128 1761761 1969027 2159578 3137144 3523522 3938054 4319156 6274288 6666431 7047044 7450717 7876108 8638312 12156433 13332862 14094088 14901434 15752216 17276624 24312866 26665724 28188176 29802868 31504432 33473459 48625732 53331448 59605736 66946918 97251464 106662896 119211472 126662189 133893836 194502928 206659361 230972227 253324378 267787672 413318722 461944454 506648756 535575344 826637444 923888908 1013297512 1310934049 1653274888 1847777816 2026595024 2621868098 3306549776 3695555632 3926527859 5243736196 7853055718 10487472392 15706111436 20974944784 22285878833 24907746931 31412222872 40638955519 44571757666 49815493862 62824445744 81277911038 89143515332 99630987724 162555822076 178287030664 199261975448 325111644152 356574061328 398523950896 423431697827 650223288304 690862243823 772140154861 846863395654 1381724487646 1544280309722 1693726791308 2763448975292 3088560619444 3387453582616 5526897950584 6177121238888 6774907165232 11053795901168 12354242477776 13126382632637 26252765265274 52505530530548 105011061061096 210022122122192