Search a number
-
+
122033302231230 = 233513113307675421
BaseRepresentation
bin11011101111110100010111…
…101000010101100010111110
3121000002021021122122111221000
4123233310113220111202332
5111443343200332344410
61111313154120151130
734463420664035325
oct3357642750254276
9530067248574830
10122033302231230
113597a03a787245
121182aa560084a6
1353128ca239bc0
14221c62c7650bc
15e19576100dc0
hex6efd17a158be

122033302231230 has 128 divisors (see below), whose sum is σ = 353555980928640. Its totient is φ = 29773135042560.

The previous prime is 122033302231177. The next prime is 122033302231249. The reversal of 122033302231230 is 32132203330221.

122033302231230 is a `hidden beast` number, since 1 + 2 + 203 + 3 + 3 + 0 + 223 + 1 + 230 = 666.

122033302231230 is digitally balanced in base 3, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 122033302231194 and 122033302231203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153441081 + ... + 154234340.

It is an arithmetic number, because the mean of its divisors is an integer number (2762156101005).

Almost surely, 2122033302231230 is an apocalyptic number.

122033302231230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122033302231230 is an abundant number, since it is smaller than the sum of its proper divisors (231522678697410).

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

122033302231230 is a wasteful number, since it uses less digits than its factorization.

122033302231230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307675563 (or 307675557 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 122033302231230 its reverse (32132203330221), we get a palindrome (154165505561451).

The spelling of 122033302231230 in words is "one hundred twenty-two trillion, thirty-three billion, three hundred two million, two hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 113 117 130 135 195 226 234 270 339 351 390 565 585 678 702 1017 1130 1170 1469 1695 1755 2034 2938 3051 3390 3510 4407 5085 6102 7345 8814 10170 13221 14690 15255 22035 26442 30510 39663 44070 66105 79326 132210 198315 396630 307675421 615350842 923026263 1538377105 1846052526 2769078789 3076754210 3999780473 4615131315 5538157578 7999560946 8307236367 9230262630 11999341419 13845393945 16614472734 19998902365 23998682838 27690787890 34767322573 35998024257 39997804730 41536181835 59996707095 69534645146 71996048514 83072363670 104301967719 107994072771 119993414190 173836612865 179990121285 208603935438 215988145542 312905903157 347673225730 359980242570 451975193449 521509838595 539970363855 625811806314 903950386898 938717709471 1043019677190 1079940727710 1355925580347 1564529515785 1877435418942 2259875967245 2711851160694 3129059031570 4067776741041 4519751934490 4693588547355 6779627901735 8135553482082 9387177094710 12203330223123 13559255803470 20338883705205 24406660446246 40677767410410 61016651115615 122033302231230