Search a number
-
+
122123112030 = 23256137958693
BaseRepresentation
bin111000110111100011…
…0101100111001011110
3102200012222011212200100
41301233012230321132
54000102004041110
6132034054041530
711552216216253
oct1615706547136
9380188155610
10122123112030
1147879349667
121b8029492a6
13b693007c8a
145ca72cb42a
15329b585bc0
hex1c6f1ace5e

122123112030 has 96 divisors (see below), whose sum is σ = 323582369760. Its totient is φ = 31947229440.

The previous prime is 122123112017. The next prime is 122123112043. The reversal of 122123112030 is 30211321221.

It is an interprime number because it is at equal distance from previous prime (122123112017) and next prime (122123112043).

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 = 122123111994 and 122123112012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2051364 + ... + 2110056.

It is an arithmetic number, because the mean of its divisors is an integer number (3370649685).

Almost surely, 2122123112030 is an apocalyptic number.

122123112030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122123112030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161791184880).

122123112030 is an abundant number, since it is smaller than the sum of its proper divisors (201459257730).

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

122123112030 is a wasteful number, since it uses less digits than its factorization.

122123112030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59146 (or 59143 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122123112030 its reverse (30211321221), we get a palindrome (152334433251).

The spelling of 122123112030 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 379 549 610 758 915 1098 1137 1830 1895 2274 2745 3411 3790 5490 5685 6822 11370 17055 23119 34110 46238 58693 69357 115595 117386 138714 176079 208071 231190 293465 346785 352158 416142 528237 586930 693570 880395 1040355 1056474 1760790 2080710 2641185 3580273 5282370 7160546 10740819 17901365 21481638 22244647 32222457 35802730 44489294 53704095 64444914 66733941 107408190 111223235 133467882 161112285 200201823 222446470 322224570 333669705 400403646 667339410 1001009115 1356923467 2002018230 2713846934 4070770401 6784617335 8141540802 12212311203 13569234670 20353852005 24424622406 40707704010 61061556015 122123112030