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1101142415152 = 2413532112771709
BaseRepresentation
bin10000000001100001001…
…100111101011100110000
310220021020111201110201001
4100001201030331130300
5121020114424241102
62201505143251344
7142361223044653
oct20014114753460
93807214643631
101101142415152
11394aa020644a
121594aa449b54
137cab6689b80
143b41d0c789a
151d99ae14487
hex1006133d730

1101142415152 has 160 divisors (see below), whose sum is σ = 2361893204160. Its totient is φ = 494186434560.

The previous prime is 1101142415147. The next prime is 1101142415167. The reversal of 1101142415152 is 2515142411011.

It is a self number, because there is not a number n which added to its sum of digits gives 1101142415152.

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, 644318874 + ... + 644320582.

It is an arithmetic number, because the mean of its divisors is an integer number (14761832526).

Almost surely, 21101142415152 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 1101142415152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180946602080).

1101142415152 is an abundant number, since it is smaller than the sum of its proper divisors (1260750789008).

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

1101142415152 is a wasteful number, since it uses less digits than its factorization.

1101142415152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

Adding to 1101142415152 its reverse (2515142411011), we get a palindrome (3616284826163).

The spelling of 1101142415152 in words is "one trillion, one hundred one billion, one hundred forty-two million, four hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 211 212 277 422 424 554 689 844 848 1108 1378 1688 1709 2216 2743 2756 3376 3418 3601 4432 5486 5512 6836 7202 10972 11024 11183 13672 14404 14681 21944 22217 22366 27344 28808 29362 43888 44434 44732 57616 58447 58724 88868 89464 90577 116894 117448 145379 177736 178928 181154 190853 233788 234896 290758 355472 360599 362308 381706 467576 473393 581516 721198 724616 759811 763412 935152 946786 1163032 1177501 1442396 1449232 1519622 1526824 1893572 2326064 2355002 2884792 3039244 3053648 3097691 3787144 4687787 4710004 5769584 6078488 6154109 6195382 7574288 9375574 9420008 12156976 12308218 12390764 18751148 18840016 19111747 24616436 24781528 25089829 37502296 38223494 40269983 49232872 49563056 50179658 75004592 76446988 80539966 98465744 99885923 100359316 152893976 161079932 199771846 200718632 248452711 305787952 322159864 326167777 399543692 401437264 496905422 644319728 652335554 799087384 993810844 1298516999 1304671108 1598174768 1987621688 2597033998 2609342216 3975243376 5194067996 5218684432 5293953919 10388135992 10587907838 20776271984 21175815676 42351631352 68821400947 84703262704 137642801894 275285603788 550571207576 1101142415152