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3023331121122 = 23134159124912829
BaseRepresentation
bin101011111111101100100…
…100111101011111100010
3101201000202010220000211020
4223333230210331133202
5344013240231333442
610232522114230310
7431266651341264
oct53775444753742
911630663800736
103023331121122
11a66207666364
12409b37585396
1318c139395210
14a6489779b34
155399cb5d9ec
hex2bfec93d7e2

3023331121122 has 128 divisors (see below), whose sum is σ = 6789636000000. Its totient is φ = 891400273920.

The previous prime is 3023331121087. The next prime is 3023331121123. The reversal of 3023331121122 is 2211211333203.

It is a junction number, because it is equal to n+sod(n) for n = 3023331121092 and 3023331121101.

It is not an unprimeable number, because it can be changed into a prime (3023331121123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235657404 + ... + 235670232.

It is an arithmetic number, because the mean of its divisors is an integer number (53044031250).

Almost surely, 23023331121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023331121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394818000000).

3023331121122 is an abundant number, since it is smaller than the sum of its proper divisors (3766304878878).

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

3023331121122 is a wasteful number, since it uses less digits than its factorization.

3023331121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3023331121122 its reverse (2211211333203), we get a palindrome (5234542454325).

The spelling of 3023331121122 in words is "three trillion, twenty-three billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 41 59 78 82 118 123 177 246 354 533 767 1066 1249 1534 1599 2301 2419 2498 3198 3747 4602 4838 7257 7494 12829 14514 16237 25658 31447 32474 38487 48711 51209 62894 73691 76974 94341 97422 102418 147382 153627 166777 188682 221073 307254 333554 442146 500331 525989 665717 756911 957983 1000662 1051978 1331434 1513822 1577967 1915966 1997151 2270733 2873949 3021331 3155934 3994302 4541466 5747898 6042662 6837857 9063993 9839843 13675714 16023421 18127986 19679686 20513571 29519529 31033351 32046842 39277303 41027142 48070263 59039058 62066702 78554606 93100053 96140526 117831909 186200106 208304473 235663818 403433563 416608946 624913419 656960261 806867126 945381839 1210300689 1249826838 1313920522 1890763678 1970880783 2420601378 2836145517 3941761566 5672291034 8540483393 12289963907 17080966786 24579927814 25621450179 36869891721 38760655399 51242900358 73739783442 77521310798 116281966197 232563932394 503888520187 1007777040374 1511665560561 3023331121122