Search a number
-
+
210200121001020 = 223517292437047107
BaseRepresentation
bin101111110010110100000111…
…100010110100010000111100
31000120020221020211211111002110
4233302310013202310100330
5210022404321434013040
62023020334050054020
762163312644266563
oct5762640742642074
91016227224744073
10210200121001020
1160a81409443407
121b6aa23727a310
139039a2b820cb7
1439c9a50d30bda
151947bc2da8980
hexbf2d078b443c

210200121001020 has 96 divisors (see below), whose sum is σ = 623202934088448. Its totient is φ = 52754297254912.

The previous prime is 210200121000979. The next prime is 210200121001067. The reversal of 210200121001020 is 20100121002012.

210200121001020 is digitally balanced in base 2, because in such base 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 210200121000987 and 210200121001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26304307 + ... + 33351413.

It is an arithmetic number, because the mean of its divisors is an integer number (6491697230088).

Almost surely, 2210200121001020 is an apocalyptic number.

210200121001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210200121001020 is an abundant number, since it is smaller than the sum of its proper divisors (413002813087428).

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

210200121001020 is a wasteful number, since it uses less digits than its factorization.

210200121001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076379 (or 7076377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210200121001020 its reverse (20100121002012), we get a palindrome (230300242003032).

The spelling of 210200121001020 in words is "two hundred ten trillion, two hundred billion, one hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 29243 58486 87729 116972 146215 175458 292430 350916 438645 497131 584860 877290 994262 1491393 1754580 1988524 2485655 2982786 4971310 5965572 7047107 7456965 9942620 14094214 14913930 21141321 28188428 29827860 35235535 42282642 70471070 84565284 105706605 119800819 140942140 211413210 239601638 359402457 422826420 479203276 599004095 718804914 1198008190 1437609828 1797012285 2396016380 3594024570 7188049140 206078550001 412157100002 618235650003 824314200004 1030392750005 1236471300006 2060785500010 2472942600012 3091178250015 3503335350017 4121571000020 6182356500030 7006670700034 10510006050051 12364713000060 14013341400068 17516676750085 21020012100102 35033353500170 42040024200204 52550030250255 70066707000340 105100060500510 210200121001020