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210022000001205 = 35747131392382811
BaseRepresentation
bin101111110000001110001110…
…101101001000000010110101
31000112121220111021202011112020
4233300032032231020002311
5210012000024000014310
62022402435210543353
762144405642624250
oct5760161655100265
91015556437664466
10210022000001205
1160a12914813947
121b67b806a37b59
139025cb3269aa2
1439c11948d4097
15194324a611170
hexbf038eb480b5

210022000001205 has 128 divisors (see below), whose sum is σ = 395310790803456. Its totient is φ = 93225086572800.

The previous prime is 210022000001173. The next prime is 210022000001207. The reversal of 210022000001205 is 502100000220012.

It is not a de Polignac number, because 210022000001205 - 25 = 210022000001173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210022000001207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2536119250 + ... + 2536202060.

It is an arithmetic number, because the mean of its divisors is an integer number (3088365553152).

Almost surely, 2210022000001205 is an apocalyptic number.

It is an amenable number.

210022000001205 is a deficient number, since it is larger than the sum of its proper divisors (185288790802251).

210022000001205 is a wasteful number, since it uses less digits than its factorization.

210022000001205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86927.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 210022000001205 its reverse (502100000220012), we get a palindrome (712122000221217).

The spelling of 210022000001205 in words is "two hundred ten trillion, twenty-two billion, one thousand, two hundred five".

Divisors: 1 3 5 7 15 21 35 47 105 131 141 235 329 393 655 705 917 987 1645 1965 2751 3923 4585 4935 6157 11769 13755 18471 19615 27461 30785 43099 58845 82383 82811 92355 129297 137305 184381 215495 248433 411915 414055 513913 553143 579677 646485 921905 1242165 1290667 1541739 1739031 2569565 2765715 2898385 3597391 3872001 3892117 6453335 7708695 8695155 10792173 10848241 11676351 17986955 19360005 19460585 24153911 27244819 32544723 53960865 54241205 58381755 72461733 75937687 81734457 120769555 136224095 162723615 169077377 227813061 324867553 362308665 379688435 408672285 507232131 509867327 845386885 974602659 1139065305 1529601981 1624337765 2274072871 2536160655 2549336635 3569071289 4873013295 6822218613 7648009905 10707213867 11370364355 15268774991 17845356445 34111093065 42557649443 45806324973 53536069335 76343874955 106881424937 127672948329 212788247215 229031624865 297903546101 320644274811 534407124685 638364741645 893710638303 1489517730505 1603221374055 2000209523821 4468553191515 6000628571463 10001047619105 14001466666747 30003142857315 42004400000241 70007333333735 210022000001205