Search a number
-
+
122313120030 = 23254133147187
BaseRepresentation
bin111000111101001101…
…1100001100100011110
3102200201012201021122200
41301322123201210132
54000444124320110
6132105002352330
711560014236403
oct1617233414436
9380635637580
10122313120030
1147966627472
121b8564bb6a6
13b6c34a424a
145cc462c2aa
1532ad0b96c0
hex1c7a6e191e

122313120030 has 48 divisors (see below), whose sum is σ = 325770563664. Its totient is φ = 31821298560.

The previous prime is 122313120019. The next prime is 122313120031. The reversal of 122313120030 is 30021313221.

122313120030 is a `hidden beast` number, since 122 + 313 + 1 + 200 + 30 = 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 = 122313119985 and 122313120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313120031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16569904 + ... + 16577283.

It is an arithmetic number, because the mean of its divisors is an integer number (6786886743).

Almost surely, 2122313120030 is an apocalyptic number.

122313120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122313120030 is an abundant number, since it is smaller than the sum of its proper divisors (203457443634).

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

122313120030 is a wasteful number, since it uses less digits than its factorization.

122313120030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33147241 (or 33147238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122313120030 its reverse (30021313221), we get a palindrome (152334433251).

The spelling of 122313120030 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 33147187 66294374 99441561 165735935 198883122 298324683 331471870 497207805 596649366 994415610 1359034667 1491623415 2718069334 2983246830 4077104001 6795173335 8154208002 12231312003 13590346670 20385520005 24462624006 40771040010 61156560015 122313120030