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1020110232012 = 22317109247718521
BaseRepresentation
bin11101101100000110100…
…11101101100111001100
310121112002020101001121220
432312003103231213030
5113203141204411022
62100344314323340
7133462165622034
oct16660323554714
93545066331556
101020110232012
113636986a4953
12145854a29550
137527175a301
14375332248c4
151b80700885c
hexed834ed9cc

1020110232012 has 96 divisors (see below), whose sum is σ = 2544558287040. Its totient is φ = 316953354240.

The previous prime is 1020110231969. The next prime is 1020110232023. The reversal of 1020110232012 is 2102320110201.

It is a junction number, because it is equal to n+sod(n) for n = 1020110231982 and 1020110232000.

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, 55069312 + ... + 55087832.

It is an arithmetic number, because the mean of its divisors is an integer number (26505815490).

Almost surely, 21020110232012 is an apocalyptic number.

1020110232012 is a gapful number since it is divisible by the number (12) 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 1020110232012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272279143520).

1020110232012 is an abundant number, since it is smaller than the sum of its proper divisors (1524448055028).

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

1020110232012 is a wasteful number, since it uses less digits than its factorization.

1020110232012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21131 (or 21129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1020110232012 its reverse (2102320110201), we get a palindrome (3122430342213).

The spelling of 1020110232012 in words is "one trillion, twenty billion, one hundred ten million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 204 218 327 436 654 1308 1853 2477 3706 4954 5559 7412 7431 9908 11118 14862 18521 22236 29724 37042 42109 55563 74084 84218 111126 126327 168436 222252 252654 269993 314857 505308 539986 629714 809979 944571 1079972 1259428 1619958 1889142 2018789 3239916 3778284 4037578 4589881 6056367 8075156 9179762 12112734 13769643 18359524 24225468 27539286 34319413 45876517 55078572 68638826 91753034 102958239 137277652 137629551 183506068 205916478 275259102 411832956 550518204 779900789 1559801578 2339702367 3119603156 4679404734 5000540353 9358809468 10001080706 15001621059 20002161412 30003242118 60006484236 85009186001 170018372002 255027558003 340036744004 510055116006 1020110232012