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123220100133330 = 23519614937717817
BaseRepresentation
bin11100000001000101101010…
…010011000011000111010010
3121011021201121122021120020120
4130001011222103003013102
5112122314231113231310
61114022311010051110
734645233643541124
oct3401055223030722
9534251548246216
10123220100133330
1136297395202822
12119a0a6a279a96
13539a7b4612a55
14225dc55757214
15e3a386c68b70
hex70116a4c31d2

123220100133330 has 128 divisors (see below), whose sum is σ = 316460574155520. Its totient is φ = 30612727664640.

The previous prime is 123220100133283. The next prime is 123220100133353. The reversal of 123220100133330 is 33331001022321.

It is a self number, because there is not a number n which added to its sum of digits gives 123220100133330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171300582 + ... + 172018398.

It is an arithmetic number, because the mean of its divisors is an integer number (2472348235590).

Almost surely, 2123220100133330 is an apocalyptic number.

123220100133330 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 123220100133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158230287077760).

123220100133330 is an abundant number, since it is smaller than the sum of its proper divisors (193240474022190).

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

123220100133330 is a wasteful number, since it uses less digits than its factorization.

123220100133330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722844.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123220100133330 its reverse (33331001022321), we get a palindrome (156551101155651).

The spelling of 123220100133330 in words is "one hundred twenty-three trillion, two hundred twenty billion, one hundred million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 95 114 122 183 190 285 305 366 570 610 915 1159 1830 2318 3477 4937 5795 6954 9874 11590 14811 17385 24685 29622 34770 49370 74055 93803 148110 187606 281409 301157 469015 562818 602314 717817 903471 938030 1407045 1435634 1505785 1806942 2153451 2814090 3011570 3589085 4306902 4517355 5721983 7178170 9034710 10767255 11443966 13638523 17165949 21534510 27277046 28609915 34331898 40915569 43786837 57219830 68192615 81831138 85829745 87573674 131360511 136385230 171659490 204577845 218934185 262721022 409155690 437868370 656802555 831949903 1313605110 1663899806 2495849709 3543862529 4159749515 4991699418 7087725058 8319499030 10631587587 12479248545 17719312645 21263175174 24958497090 35438625290 53157937935 67333388051 106315875870 134666776102 202000164153 216175614269 336666940255 404000328306 432351228538 648526842807 673333880510 1010000820765 1080878071345 1297053685614 2020001641530 2161756142690 3242634214035 4107336671111 6485268428070 8214673342222 12322010013333 20536683355555 24644020026666 41073366711110 61610050066665 123220100133330