Search a number
-
+
1102231210122 = 232737571414061
BaseRepresentation
bin10000000010100010000…
…110011000100010001010
310220101001101110222121200
4100002202012120202022
5121024332142210442
62202205200045030
7142430213462220
oct20024206304212
93811041428550
101102231210122
113954a98681a9
12159753003776
137cc2b116653
143b4c394ab10
151da117d534c
hex100a219888a

1102231210122 has 96 divisors (see below), whose sum is σ = 2808016109184. Its totient is φ = 305874403200.

The previous prime is 1102231210081. The next prime is 1102231210123. The reversal of 1102231210122 is 2210121322011.

1102231210122 is a `hidden beast` number, since 1 + 102 + 231 + 210 + 122 = 666.

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 = 1102231210095 and 1102231210104.

It is not an unprimeable number, because it can be changed into a prime (1102231210123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2454972 + ... + 2869032.

It is an arithmetic number, because the mean of its divisors is an integer number (29250167804).

Almost surely, 21102231210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102231210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404008054592).

1102231210122 is an abundant number, since it is smaller than the sum of its proper divisors (1705784899062).

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

1102231210122 is a wasteful number, since it uses less digits than its factorization.

1102231210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414684 (or 414681 counting only the distinct ones).

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

Adding to 1102231210122 its reverse (2210121322011), we get a palindrome (3312352532133).

The spelling of 1102231210122 in words is "one trillion, one hundred two billion, two hundred thirty-one million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 571 666 777 1142 1554 1713 2331 3426 3997 4662 5139 7994 10278 11991 21127 23982 35973 42254 63381 71946 126762 147889 190143 295778 380286 414061 443667 828122 887334 1242183 1331001 2484366 2662002 2898427 3726549 5796854 7453098 8695281 15320257 17390562 26085843 30640514 45960771 52171686 91921542 107241799 137882313 214483598 236428831 275764626 321725397 472857662 643450794 709286493 965176191 1418572986 1655001817 1930352382 2127859479 3310003634 4255718958 4965005451 8747866747 9930010902 14895016353 17495733494 26243600241 29790032706 52487200482 61235067229 78730800723 122470134458 157461601446 183705201687 367410403374 551115605061 1102231210122