Search a number
-
+
1011011110020 = 223256784679901
BaseRepresentation
bin11101011011001001111…
…01010100010010000100
310120122121002202202210200
432231210331110102010
5113031022321010040
62052241352450500
7133020540433422
oct16554475242204
93518532682720
101011011110020
1135a84946191a
12143b356a9a30
13744515b3062
1436d0c9aa112
151b47329c630
hexeb64f54484

1011011110020 has 144 divisors (see below), whose sum is σ = 3113187849408. Its totient is φ = 265520851200.

The previous prime is 1011011109967. The next prime is 1011011110027. The reversal of 1011011110020 is 200111101101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011011109984 and 1011011110011.

It is not an unprimeable number, because it can be changed into a prime (1011011110027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 102107070 + ... + 102116970.

Almost surely, 21011011110020 is an apocalyptic number.

1011011110020 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 1011011110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556593924704).

1011011110020 is an abundant number, since it is smaller than the sum of its proper divisors (2102176739388).

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

1011011110020 is a wasteful number, since it uses less digits than its factorization.

1011011110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18450 (or 18445 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011011110020 its reverse (200111101101), we get a palindrome (1211122211121).

It can be divided in two parts, 101101 and 1110020, that added together give a palindrome (1211121).

The spelling of 1011011110020 in words is "one trillion, eleven billion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 8467 9901 12060 16934 19802 25401 29703 33868 39604 42335 49505 50802 59406 76203 84670 89109 99010 101604 118812 127005 148515 152406 169340 178218 198020 254010 297030 304812 356436 381015 445545 508020 567289 594060 663367 762030 891090 1134578 1326734 1524060 1701867 1782180 1990101 2269156 2653468 2836445 3316835 3403734 3980202 5105601 5672890 5970303 6633670 6807468 7960404 8509335 9950505 10211202 11345780 11940606 13267340 17018670 19901010 20422404 23881212 25528005 29851515 34037340 39802020 51056010 59703030 83831767 102112020 119406060 167663534 251495301 335327068 419158835 502990602 754485903 838317670 1005981204 1257476505 1508971806 1676635340 2514953010 3017943612 3772429515 5029906020 5616728389 7544859030 11233456778 15089718060 16850185167 22466913556 28083641945 33700370334 50550555501 56167283890 67400740668 84250925835 101101111002 112334567780 168501851670 202202222004 252752777505 337003703340 505505555010 1011011110020