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1011200100120 = 233357133756627
BaseRepresentation
bin11101011011100000011…
…10010000011100011000
310120200002021101110111000
432231300032100130120
5113031414211200440
62052312223305000
7133025324014110
oct16556016203430
93520067343430
101011200100120
1135a936104991
12143b88a4b160
13744817b3c12
1436d29b24040
151b484b7e730
hexeb70390718

1011200100120 has 128 divisors (see below), whose sum is σ = 3852190886400. Its totient is φ = 231131449728.

The previous prime is 1011200100103. The next prime is 1011200100143. The reversal of 1011200100120 is 210010021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 66870754 + ... + 66885873.

It is an arithmetic number, because the mean of its divisors is an integer number (30095241300).

Almost surely, 21011200100120 is an apocalyptic number.

1011200100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011200100120 is an abundant number, since it is smaller than the sum of its proper divisors (2840990786280).

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

1011200100120 is a wasteful number, since it uses less digits than its factorization.

1011200100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133756654 (or 133756644 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011200100120 its reverse (210010021101), we get a palindrome (1221210121221).

The spelling of 1011200100120 in words is "one trillion, eleven billion, two hundred million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 133756627 267513254 401269881 535026508 668783135 802539762 936296389 1070053016 1203809643 1337566270 1605079524 1872592778 2006349405 2407619286 2675132540 2808889167 3210159048 3611428929 3745185556 4012698810 4681481945 4815238572 5350265080 5617778334 6019048215 7222857858 7490371112 8025397620 8426667501 9362963890 9630477144 11235556668 12038096430 14044445835 14445715716 16050795240 16853335002 18057144645 18725927780 22471113336 24076192860 25280002503 28088891670 28891431432 33706670004 36114289290 37451855560 42133337505 48152385720 50560005006 56177783340 67413340008 72228578580 84266675010 101120010012 112355566680 126400012515 144457157160 168533350020 202240020024 252800025030 337066700040 505600050060 1011200100120