Search a number
-
+
210121121021200 = 24521123791959069
BaseRepresentation
bin101111110001101010100010…
…110001110011110100010000
31000112222101100012102200212221
4233301222202301303310100
5210020111023440134300
62022520151014230424
762154515154451654
oct5761524261636420
91015871305380787
10210121121021200
1160a50959a74294
121b696a6a355414
13903244b9325cc
1439c5cb8d0aa64
151945aec5c231a
hexbf1aa2c73d10

210121121021200 has 120 divisors (see below), whose sum is σ = 505337876841600. Its totient is φ = 83961580116480.

The previous prime is 210121121021183. The next prime is 210121121021257. The reversal of 210121121021200 is 2120121121012.

210121121021200 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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3557185266 + ... + 3557244334.

It is an arithmetic number, because the mean of its divisors is an integer number (4211148973680).

Almost surely, 2210121121021200 is an apocalyptic number.

210121121021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210121121021200 is an abundant number, since it is smaller than the sum of its proper divisors (295216755820400).

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

210121121021200 is a wasteful number, since it uses less digits than its factorization.

210121121021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68129 (or 68118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210121121021200 its reverse (2120121121012), we get a palindrome (212241242142212).

The spelling of 210121121021200 in words is "two hundred ten trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1123 2246 4492 5615 7919 8984 11230 15838 17968 22460 28075 31676 39595 44920 56150 59069 63352 79190 89840 112300 118138 126704 158380 197975 224600 236276 295345 316760 395950 449200 472552 590690 633520 791900 945104 1181380 1476725 1583800 2362760 2953450 3167600 4725520 5906900 8893037 11813800 17786074 23627600 35572148 44465185 66334487 71144296 88930370 132668974 142288592 177860740 222325925 265337948 331672435 355721480 444651850 467767411 530675896 663344870 711442960 889303700 935534822 1061351792 1326689740 1658362175 1778607400 1871069644 2338837055 2653379480 3316724350 3557214800 3742139288 4677674110 5306758960 6633448700 7484278576 9355348220 11694185275 13266897400 18710696440 23388370550 26533794800 37421392880 46776741100 93553482200 187106964400 525302802553 1050605605106 2101211210212 2626514012765 4202422420424 5253028025530 8404844840848 10506056051060 13132570063825 21012112102120 26265140127650 42024224204240 52530280255300 105060560510600 210121121021200