Search a number
-
+
210102111022212 = 22325310110310585063
BaseRepresentation
bin101111110001011000110101…
…101100011010110010000100
31000112220120021100202200201100
4233301120311230122302010
5210014303110410202322
62022503324412100100
762153243113232253
oct5761306554326204
91015816240680640
10210102111022212
1160a43894359722
121b693243a64630
13903070c3a38b6
1439c4dd42cc79a
15194538870edac
hexbf1635b1ac84

210102111022212 has 144 divisors (see below), whose sum is σ = 551775167693568. Its totient is φ = 67371802617600.

The previous prime is 210102111022207. The next prime is 210102111022253. The reversal of 210102111022212 is 212220111201012.

210102111022212 is a `hidden beast` number, since 210 + 1 + 0 + 211 + 10 + 22 + 212 = 666.

210102111022212 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14556393 + ... + 25141455.

It is an arithmetic number, because the mean of its divisors is an integer number (3831771997872).

Almost surely, 2210102111022212 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 210102111022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275887583846784).

210102111022212 is an abundant number, since it is smaller than the sum of its proper divisors (341673056671356).

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

210102111022212 is a wasteful number, since it uses less digits than its factorization.

210102111022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585330 (or 10585325 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210102111022212 its reverse (212220111201012), we get a palindrome (422322222223224).

The spelling of 210102111022212 in words is "two hundred ten trillion, one hundred two billion, one hundred eleven million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 101 103 106 159 202 206 212 303 309 318 404 412 477 606 618 636 909 927 954 1212 1236 1818 1854 1908 3636 3708 5353 5459 10403 10706 10918 16059 16377 20806 21412 21836 31209 32118 32754 41612 48177 49131 62418 64236 65508 93627 96354 98262 124836 187254 192708 196524 374508 551359 1102718 1654077 2205436 3308154 4962231 6616308 9924462 10585063 19848924 21170126 31755189 42340252 63510378 95265567 127020756 190531134 381062268 561008339 1069091363 1090261489 1122016678 1683025017 2138182726 2180522978 2244033356 3207274089 3270784467 3366050034 4276365452 4361045956 5049075051 6414548178 6541568934 6732100068 9621822267 9812353401 10098150102 12829096356 13083137868 19243644534 19624706802 20196300204 38487289068 39249413604 56661842239 57783858917 110116410389 113323684478 115567717834 169985526717 173351576751 220232820778 226647368956 231135435668 330349231167 339971053434 346703153502 440465641556 509956580151 520054730253 660698462334 679942106868 693406307004 991047693501 1019913160302 1040109460506 1321396924668 1982095387002 2039826320604 2080218921012 3964190774004 5836169750617 11672339501234 17508509251851 23344679002468 35017018503702 52525527755553 70034037007404 105051055511106 210102111022212