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10122020033312 = 2511179711742033
BaseRepresentation
bin1001001101001011011101…
…1010001001001100100000
31022211122200222110012002102
42103102313122021030200
52311314344112031222
633305554121505532
72063202043456535
oct223226732111440
938748628405072
1010122020033312
1132527a7479060
1211758700422a8
1358566b9b2575
1426dca0866d8c
1512846c416d92
hex934b7689320

10122020033312 has 96 divisors (see below), whose sum is σ = 23041841909184. Its totient is φ = 4325813862400.

The previous prime is 10122020033303. The next prime is 10122020033353. The reversal of 10122020033312 is 21333002022101.

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 15 ways as a sum of consecutive naturals, for example, 4939448 + ... + 6681480.

It is an arithmetic number, because the mean of its divisors is an integer number (240019186554).

Almost surely, 210122020033312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122020033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520920954592).

10122020033312 is an abundant number, since it is smaller than the sum of its proper divisors (12919821875872).

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

10122020033312 is a wasteful number, since it uses less digits than its factorization.

10122020033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743042 (or 1743034 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10122020033312 its reverse (21333002022101), we get a palindrome (31455022055413).

The spelling of 10122020033312 in words is "ten trillion, one hundred twenty-two billion, twenty million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 971 1496 1942 2992 3884 5984 7768 10681 15536 16507 21362 31072 33014 42724 66028 85448 132056 170896 181577 264112 341792 363154 528224 726308 1452616 1742033 2905232 3484066 5810464 6968132 13936264 19162363 27872528 29614561 38324726 55745056 59229122 76649452 118458244 153298904 236916488 306597808 325760171 473832976 613195616 651520342 947665952 1303040684 1691514043 2606081368 3383028086 5212162736 6766056172 10424325472 13532112344 18606654473 27064224688 28755738731 37213308946 54128449376 57511477462 74426617892 115022954924 148853235784 230045909848 297706471568 316313126041 460091819696 595412943136 632626252082 920183639392 1265252504164 2530505008328 5061010016656 10122020033312