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1011000120012 = 2232163355748437
BaseRepresentation
bin11101011011001000100…
…11011001001011001100
310120122120100002102100100
432231210103121023030
5113031012012320022
62052240321131100
7133020345141531
oct16554423311314
93518510072310
101011000120012
1135a843235973
12143b31a89a90
137444c2359ac
1436d0b348d88
151b47232b1ac
hexeb644d92cc

1011000120012 has 72 divisors (see below), whose sum is σ = 2572038037296. Its totient is φ = 334831480704.

The previous prime is 1011000119963. The next prime is 1011000120017. The reversal of 1011000120012 is 2100210001101.

It is a happy number.

1011000120012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 1011000119976 and 1011000120003.

It is not an unprimeable number, because it can be changed into a prime (1011000120017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20848258 + ... + 20896694.

It is an arithmetic number, because the mean of its divisors is an integer number (35722750518).

Almost surely, 21011000120012 is an apocalyptic number.

1011000120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011000120012 is an abundant number, since it is smaller than the sum of its proper divisors (1561037917284).

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

1011000120012 is a wasteful number, since it uses less digits than its factorization.

1011000120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52167 (or 52162 counting only the distinct ones).

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

Adding to 1011000120012 its reverse (2100210001101), we get a palindrome (3111210121113).

The spelling of 1011000120012 in words is "one trillion, eleven billion, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1467 1956 2934 3557 5868 7114 10671 14228 21342 32013 42684 48437 64026 96874 128052 145311 193748 290622 435933 579791 581244 871866 1159582 1739373 1743732 2319164 3478746 5218119 6957492 7895231 10436238 15790462 20872476 23685693 31580924 47371386 71057079 94742772 142114158 172290409 284228316 344580818 516871227 689161636 1033742454 1550613681 2067484908 3101227362 6202454724 28083336667 56166673334 84250010001 112333346668 168500020002 252750030003 337000040004 505500060006 1011000120012