Search a number
-
+
210202120021122 = 23323389587741187
BaseRepresentation
bin101111110010110101111110…
…101100011110010010000010
31000120021010102011100020011000
4233302311332230132102002
5210022422420211133442
62023021304300032430
762163413326550535
oct5762657654362202
91016233364306130
10210202120021122
1160a82244880839
121b6aa6b4832716
139039c89a14328
1439c9ba0612a1c
151947c8d625d4c
hexbf2d7eb1e482

210202120021122 has 128 divisors (see below), whose sum is σ = 489511388620800. Its totient is φ = 66734703465408.

The previous prime is 210202120021093. The next prime is 210202120021141. The reversal of 210202120021122 is 221120021202012.

It is a happy number.

210202120021122 is a `hidden beast` number, since 210 + 2 + 0 + 21 + 200 + 211 + 22 = 666.

It is a super-2 number, since 2×2102021200211222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210202120021095 and 210202120021104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283231413 + ... + 283972599.

It is an arithmetic number, because the mean of its divisors is an integer number (3824307723600).

Almost surely, 2210202120021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210202120021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244755694310400).

210202120021122 is an abundant number, since it is smaller than the sum of its proper divisors (279309268599678).

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

210202120021122 is a wasteful number, since it uses less digits than its factorization.

210202120021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742197 (or 742191 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210202120021122 its reverse (221120021202012), we get a palindrome (431322141223134).

The spelling of 210202120021122 in words is "two hundred ten trillion, two hundred two billion, one hundred twenty million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 389 414 587 621 778 1167 1174 1242 1761 2334 3501 3522 5283 7002 8947 10503 10566 13501 15849 17894 21006 26841 27002 31698 40503 53682 80523 81006 121509 161046 228343 241569 243018 364527 456686 483138 685029 729054 741187 1370058 1482374 2055087 2223561 4110174 4447122 5251889 6165261 6670683 10503778 12330522 13341366 15755667 17047301 20012049 31511334 34094602 40024098 47267001 51141903 94534002 102283806 141801003 153425709 283602006 288321743 306851418 435076769 460277127 576643486 864965229 870153538 920554254 1305230307 1729930458 2594895687 2610460614 3915690921 5189791374 6631400089 7784687061 7831381842 10006765687 11747072763 13262800178 15569374122 19894200267 20013531374 23494145526 30020297061 39788400534 59682600801 60040594122 90060891183 119365201602 169244863141 179047802403 180121782366 270182673549 338489726282 358095604806 507734589423 540365347098 1015469178846 1523203768269 3046407536538 3892631852243 4569611304807 7785263704486 9139222609614 11677895556729 23355791113458 35033686670187 70067373340374 105101060010561 210202120021122