Search a number
-
+
1102210212123 = 34314718151599
BaseRepresentation
bin10000000010100000110…
…110010010000100011011
310220100222220222011210000
4100002200312102010123
5121024311303241443
62202203130024043
7142426540135446
oct20024066220433
93810886864700
101102210212123
11395498a26089
12159747b78023
137cc26973bb7
143b4c0c4265d
151da0ea388d3
hex100a0d9211b

1102210212123 has 80 divisors (see below), whose sum is σ = 1745410867200. Its totient is φ = 692114932800.

The previous prime is 1102210212107. The next prime is 1102210212137. The reversal of 1102210212123 is 3212120122011.

1102210212123 is a `hidden beast` number, since 110 + 221 + 0 + 212 + 123 = 666.

It is not a de Polignac number, because 1102210212123 - 24 = 1102210212107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1102210212096 and 1102210212105.

It is not an unprimeable number, because it can be changed into a prime (1102210212923) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21335278 + ... + 21386876.

It is an arithmetic number, because the mean of its divisors is an integer number (21817635840).

Almost surely, 21102210212123 is an apocalyptic number.

1102210212123 is a deficient number, since it is larger than the sum of its proper divisors (643200655077).

1102210212123 is a wasteful number, since it uses less digits than its factorization.

1102210212123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51870 (or 51861 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1102210212123 its reverse (3212120122011), we get a palindrome (4314330334134).

The spelling of 1102210212123 in words is "one trillion, one hundred two billion, two hundred ten million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 27 31 47 81 93 141 181 279 423 543 837 1269 1457 1629 2511 3807 4371 4887 5611 8507 13113 14661 16833 25521 39339 50499 51599 76563 118017 151497 154797 229689 263717 454491 464391 689067 791151 1393173 1599569 2373453 2425153 4179519 4798707 7120359 7275459 9339419 14396121 21361077 21826377 28018257 43188363 65479131 75179743 84054771 129565089 196437393 225539229 252164313 289521989 438952693 676617687 756492939 868565967 1316858079 2029853061 2605697901 3950574237 6089559183 7817093703 11851722711 13607533483 23451281109 35555168133 40822600449 122467801347 367403404041 1102210212123