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1011010022120 = 235731831403323
BaseRepresentation
bin11101011011001001110…
…01001010101011101000
310120122121000201111111002
432231210321022223220
5113031022031201440
62052241313254132
7133020525252620
oct16554471125350
93518530644432
101011010022120
1135a84888952a
12143b35264348
13744512c1b27
1436d0c7a5880
151b473135115
hexeb64e4aae8

1011010022120 has 128 divisors (see below), whose sum is σ = 2715937136640. Its totient is φ = 331408523520.

The previous prime is 1011010022083. The next prime is 1011010022137. The reversal of 1011010022120 is 212200101101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18779 + ... + 1422101.

It is an arithmetic number, because the mean of its divisors is an integer number (21218258880).

Almost surely, 21011010022120 is an apocalyptic number.

1011010022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011010022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357968568320).

1011010022120 is an abundant number, since it is smaller than the sum of its proper divisors (1704927114520).

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

1011010022120 is a wasteful number, since it uses less digits than its factorization.

1011010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403455 (or 1403451 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011010022120 its reverse (212200101101), we get a palindrome (1223210123221).

The spelling of 1011010022120 in words is "one trillion, eleven billion, ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 83 124 140 155 166 217 248 280 310 332 415 434 581 620 664 830 868 1085 1162 1240 1660 1736 2170 2324 2573 2905 3320 4340 4648 5146 5810 8680 10292 11620 12865 18011 20584 23240 25730 36022 51460 72044 90055 102920 144088 180110 360220 720440 1403323 2806646 5613292 7016615 9823261 11226584 14033230 19646522 28066460 39293044 43503013 49116305 56132920 78586088 87006026 98232610 116475809 174012052 196465220 217515065 232951618 304521091 348024104 392930440 435030130 465903236 582379045 609042182 815330663 870060260 931806472 1164758090 1218084364 1522605455 1630661326 1740120520 2329516180 2436168728 3045210910 3261322652 3610750079 4076653315 4659032360 6090421820 6522645304 7221500158 8153306630 12180843640 14443000316 16306613260 18053750395 25275250553 28886000632 32613226520 36107500790 50550501106 72215001580 101101002212 126376252765 144430003160 202202004424 252752505530 505505011060 1011010022120