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1021100001012 = 223471334632343
BaseRepresentation
bin11101101101111100100…
…11011000011011110100
310121121122012210112110000
432312332103120123310
5113212203100013022
62101030432431300
7133525544541660
oct16667623303364
93547565715400
101021100001012
1136405636aa63
12145a903a8530
137539b824740
14375c886b8a0
151b863d686ac
hexedbe4d86f4

1021100001012 has 120 divisors (see below), whose sum is σ = 3285362681216. Its totient is φ = 269301091392.

The previous prime is 1021100001011. The next prime is 1021100001067. The reversal of 1021100001012 is 2101000011201.

It is a happy number.

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 = 1021100000985 and 1021100001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021100001011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17286688 + ... + 17345655.

Almost surely, 21021100001012 is an apocalyptic number.

1021100001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021100001012 is an abundant number, since it is smaller than the sum of its proper divisors (2264262680204).

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

1021100001012 is a wasteful number, since it uses less digits than its factorization.

1021100001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34632379 (or 34632368 counting only the distinct ones).

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

Adding to 1021100001012 its reverse (2101000011201), we get a palindrome (3122100012213).

The spelling of 1021100001012 in words is "one trillion, twenty-one billion, one hundred million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 34632343 69264686 103897029 138529372 207794058 242426401 311691087 415588116 450220459 484852802 623382174 727279203 900440918 935073261 969705604 1246764348 1350661377 1454558406 1800881836 1870146522 2181837609 2701322754 2805219783 2909116812 3151543213 3740293044 4051984131 4363675218 5402645508 5610439566 6303086426 6545512827 8103968262 8727350436 9454629639 11220879132 12155952393 12606172852 13091025654 16207936524 18909259278 19636538481 24311904786 26182051308 28363888917 36467857179 37818518556 39273076962 48623809572 56727777834 72935714358 78546153924 85091666751 113455555668 145871428716 170183333502 255275000253 340366667004 510550000506 1021100001012