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123222030030 = 23451175718269
BaseRepresentation
bin111001011000010011…
…0101111011011001110
3102210001112222200210000
41302300212233123032
54004324314430110
6132335111425130
711621361654651
oct1626046573316
9383045880700
10123222030030
1148292694a60
121ba6a9851a6
13b80989a308
145d6d227898
153312ca61c0
hex1cb09af6ce

123222030030 has 160 divisors (see below), whose sum is σ = 361948577760. Its totient is φ = 29830913280.

The previous prime is 123222030007. The next prime is 123222030031. The reversal of 123222030030 is 30030222321.

It is a happy number.

123222030030 is a `hidden beast` number, since 12 + 322 + 2 + 0 + 300 + 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 = 123222029985 and 123222030012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123222030031) 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, 6735736 + ... + 6754004.

It is an arithmetic number, because the mean of its divisors is an integer number (2262178611).

Almost surely, 2123222030030 is an apocalyptic number.

123222030030 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 123222030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180974288880).

123222030030 is an abundant number, since it is smaller than the sum of its proper divisors (238726547730).

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

123222030030 is a wasteful number, since it uses less digits than its factorization.

123222030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19056 (or 19047 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 123222030030 its reverse (30030222321), we get a palindrome (153252252351).

The spelling of 123222030030 in words is "one hundred twenty-three billion, two hundred twenty-two million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 757 810 891 990 1485 1514 1782 2271 2970 3785 4455 4542 6813 7570 8327 8910 11355 13626 16654 18269 20439 22710 24981 34065 36538 40878 41635 49962 54807 61317 68130 74943 83270 91345 102195 109614 122634 124905 149886 164421 182690 200959 204390 224829 249810 274035 306585 328842 374715 401918 449658 493263 548070 602877 613170 674487 749430 822105 986526 1004795 1124145 1205754 1348974 1479789 1644210 1808631 2009590 2248290 2466315 2959578 3014385 3372435 3617262 4932630 5425893 6028770 6744870 7398945 9043155 10851786 13829633 14797890 16277679 18086310 27129465 27659266 32555358 41488899 54258930 69148165 81388395 82977798 124466697 138296330 152125963 162776790 207444495 248933394 304251926 373400091 414888990 456377889 622333485 746800182 760629815 912755778 1120200273 1244666970 1369133667 1521259630 1867000455 2240400546 2281889445 2738267334 3734000910 4107401001 4563778890 5601001365 6845668335 8214802002 11202002730 12322203003 13691336670 20537005005 24644406006 41074010010 61611015015 123222030030